<description/> <author>Eco-ws400</author> <company/> <keywords/> <revisedBy>Eco-ws400</revisedBy> </userData> <identityInfo> <revision>1</revision> <documentID>BA6CF3DB-4BB2-4B92-BD1F-4AED17DA892F</documentID> <versionID>6BDC7ACA-7B4B-4410-839A-B4A76D42903B</versionID> <parentVersionID>00000000-0000-0000-0000-000000000000</parentVersionID> <branchID>00000000-0000-0000-0000-000000000000</branchID> </identityInfo> </metadata> <settings> <presentation> <textRendering> <textStyles> <textStyle name="Normal"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr font-family="Arial" font-charset="0" font-size="10" font-weight="normal" font-style="normal" underline="false" line-through="false" vertical-align="baseline"/> </textStyle> <textStyle name="Heading 1"> <blockAttr margin-left="0" margin-right="0" text-indent="inherit" text-align="left" list-style-type="inherit" tabs="inherit"/> <inlineAttr 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simplify-units="true" fractional-unit-exponent="false"/> </results> </mathRendering> <pageModel show-page-frame="false" show-header-frame="false" show-footer-frame="false" header-footer-start-page="1" paper-code="9" orientation="portrait" print-single-page-width="false" page-width="595.5" page-height="841.5"> <margins left="28.31811" right="29.39528" top="86.4" bottom="86.4"/> <header use-full-page-width="false"/> <footer use-full-page-width="false"/> </pageModel> <colorModel background-color="#e7e7e5" default-highlight-color="#ffff80"/> <language math="ru" UI="ru"/> </presentation> <calculation> <builtInVariables array-origin="0" convergence-tolerance="0.001" constraint-tolerance="0.001" random-seed="1" prn-precision="4" prn-col-width="8"/> <calculationBehavior automatic-recalculation="true" matrix-strict-singularity-check="true" optimize-expressions="false" exact-boolean="false" strings-use-origin="false" zero-over-zero="0"> <compatibility multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="111" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="110" left="54" top="11.25" width="429" height="31.5" align-x="54" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Вычисление определенного интеграла таблично заданной функции</f> <f size="14">с интерполяцией данных</f> </text> </region> <region region-id="37" left="6" top="72" width="479.25" height="154.5" align-x="6" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00020906-0000-0000-C000-000000000046}" type="embedded" item-idref="2"/> <rendering item-idref="3"/> </region> <region region-id="111" left="12" top="233.25" width="502.5" height="91.5" align-x="12" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> Замечание. </f> <f family="Times New Roman Cyr" charset="0" size="14">1. В этой задаче пределы интегрирования не совпадают с узлами функции, поэтому предлагается воспользоваться вычислением функции у при произвольном хначении аргумента хf интерполяцией.</f> <f family="Times New Roman Cyr" charset="0" size="14">2. Так как предлагается применить метод трапеций, целесообразно для повышении точность вычисления интеграла использовать интерполяционную формулу Лагранжа.</f> </text> </region> <region region-id="95" left="12" top="353.25" width="61.5" height="16.5" align-x="36.75" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> Решение: </f> </text> </region> <region region-id="98" left="12" top="384" width="401.25" height="15" align-x="12" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Times New Roman" charset="0" size="14"> <inlineAttr line-through="false">Функция, вычисляющая определенный интеграл методом трапеций: </inlineAttr> </f> </text> </region> <region region-id="101" left="12" top="422.25" width="337.5" height="98.25" align-x="122.25" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">fintegral</ml:id> <ml:boundVars> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve">f</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:localDefine> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">h</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:bounds> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:program> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="100" left="18" top="545.25" width="402" height="15.75" align-x="18" align-y="558" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Функция, реализующая интерполяционную формулу Лагранжа:</f> </text> </region> <region region-id="57" left="18" top="582" width="310.5" height="267" align-x="119.25" align-y="594" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">int_lagr</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">xf</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:id xml:space="preserve">length</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">yf</ml:id> <ml:real>0</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">p1</ml:id> <ml:real>1</ml:real> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">p2</ml:id> <ml:real>1</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:ifThen> <ml:apply> <ml:notEqual/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">p1</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">p1</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">xf</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">p2</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">p2</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:localDefine> </ml:program> </ml:ifThen> </ml:for> <ml:localDefine> <ml:id xml:space="preserve">yf</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">yf</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">p1</ml:id> <ml:id xml:space="preserve">p2</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:id xml:space="preserve">yf</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="105" left="24" top="875.25" width="255" height="15.75" align-x="24" align-y="888" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Таблично заданная зависимость y = f(x):</f> </text> </region> <region region-id="102" left="42" top="916.5" width="72" height="331.5" align-x="59.25" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:matrix rows="15" cols="1"> <ml:real>0.05</ml:real> <ml:real>0.1</ml:real> <ml:real>0.15</ml:real> <ml:real>0.2</ml:real> <ml:real>0.25</ml:real> <ml:real>0.3</ml:real> <ml:real>0.35</ml:real> <ml:real>0.4</ml:real> <ml:real>0.45</ml:real> <ml:real>0.5</ml:real> <ml:real>0.55</ml:real> <ml:real>0.6</ml:real> <ml:real>0.65</ml:real> <ml:real>0.7</ml:real> <ml:real>0.75</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="103" left="156" top="916.5" width="78" height="331.5" align-x="172.5" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:matrix rows="15" cols="1"> <ml:real>0.36</ml:real> <ml:real>0.516</ml:real> <ml:real>0.6</ml:real> <ml:real>0.655</ml:real> <ml:real>0.690</ml:real> <ml:real>0.71</ml:real> <ml:real>0.728</ml:real> <ml:real>0.74</ml:real> <ml:real>0.754</ml:real> <ml:real>0.767</ml:real> <ml:real>0.778</ml:real> <ml:real>0.789</ml:real> <ml:real>0.8</ml:real> <ml:real>0.81</ml:real> <ml:real>0.815</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="106" left="18" top="1271.25" width="525" height="31.5" align-x="18" align-y="1284" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Функция, вычисляющая подынтегральное выражение при произвольном значении аргумента xf:</f> </text> </region> <region region-id="107" left="18" top="1320" width="192" height="58.5" align-x="57.75" align-y="1332" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">xf</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">y</ml:id> <ml:apply> <ml:id xml:space="preserve">int_lagr</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">xf</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">xf</ml:id> </ml:apply> </ml:apply> </ml:program> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="49" left="24" top="1409.25" width="118.5" height="15.75" align-x="48" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Исходные данные:</f> </text> </region> <region region-id="50" left="24" top="1434" width="55.5" height="16.5" align-x="41.25" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">F</ml:id> <ml:real>1000</ml:real> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="51" left="102" top="1434" width="58.5" height="21" align-x="125.25" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">x</ml:id> <ml:real>0.63</ml:real> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="52" left="186" top="1434" width="58.5" height="21" align-x="209.25" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math 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multiple-assignment="MC11" local-assignment="MC11"/> </calculationBehavior> <units> <currentUnitSystem name="si" customized="false"/> </units> </calculation> <editor view-annotations="false" view-regions="false"> <ruler is-visible="false" ruler-unit="cm"/> <plotTemplate> <xy item-idref="1"/> </plotTemplate> <grid granularity-x="6" granularity-y="6"/> </editor> <fileFormat image-type="image/png" image-quality="75" save-numeric-results="true" exclude-large-results="true" save-text-images="false" screen-dpi="96"/> <miscellaneous> <handbook handbook-region-tag-ub="111" can-delete-original-handbook-regions="true" can-delete-user-regions="true" can-print="true" can-copy="true" can-save="true" file-permission-mask="4294967295"/> </miscellaneous> </settings> <regions> <region region-id="110" left="54" top="11.25" width="429" height="31.5" align-x="54" align-y="24" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Вычисление определенного интеграла таблично заданной функции</f> <f size="14">с интерполяцией данных</f> </text> </region> <region region-id="37" left="6" top="72" width="479.25" height="154.5" align-x="6" align-y="72" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <ole clsid="{00020906-0000-0000-C000-000000000046}" type="embedded" item-idref="2"/> <rendering item-idref="3"/> </region> <region region-id="111" left="12" top="233.25" width="502.5" height="91.5" align-x="12" align-y="246" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> Замечание. </f> <f family="Times New Roman Cyr" charset="0" size="14">1. В этой задаче пределы интегрирования не совпадают с узлами функции, поэтому предлагается воспользоваться вычислением функции у при произвольном хначении аргумента хf интерполяцией.</f> <f family="Times New Roman Cyr" charset="0" size="14">2. Так как предлагается применить метод трапеций, целесообразно для повышении точность вычисления интеграла использовать интерполяционную формулу Лагранжа.</f> </text> </region> <region region-id="95" left="12" top="353.25" width="61.5" height="16.5" align-x="36.75" align-y="366" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14"> Решение: </f> </text> </region> <region region-id="98" left="12" top="384" width="401.25" height="15" align-x="12" align-y="396" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f family="Times New Roman" charset="0" size="14"> <inlineAttr line-through="false">Функция, вычисляющая определенный интеграл методом трапеций: </inlineAttr> </f> </text> </region> <region region-id="101" left="12" top="422.25" width="337.5" height="98.25" align-x="122.25" align-y="444" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">fintegral</ml:id> <ml:boundVars> <ml:id xml:space="preserve">a</ml:id> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">n</ml:id> <ml:id xml:space="preserve">f</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">h</ml:id> <ml:apply> <ml:div/> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">b</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> <ml:id xml:space="preserve">n</ml:id> </ml:apply> </ml:localDefine> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">h</ml:id> <ml:parens> <ml:apply> <ml:plus/> <ml:apply> <ml:div/> <ml:apply> <ml:plus/> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">a</ml:id> </ml:apply> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:id xml:space="preserve">b</ml:id> </ml:apply> </ml:apply> <ml:real>2</ml:real> </ml:apply> <ml:apply> <ml:summation/> <ml:lambda> <ml:boundVars> <ml:id xml:space="preserve">j</ml:id> </ml:boundVars> <ml:apply> <ml:id xml:space="preserve">f</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">a</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">h</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:lambda> <ml:bounds> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:bounds> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:program> </ml:define> </math> <rendering item-idref="4"/> </region> <region region-id="100" left="18" top="545.25" width="402" height="15.75" align-x="18" align-y="558" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Функция, реализующая интерполяционную формулу Лагранжа:</f> </text> </region> <region region-id="57" left="18" top="582" width="310.5" height="267" align-x="119.25" align-y="594" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">int_lagr</ml:id> <ml:boundVars> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">xf</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">n</ml:id> <ml:apply> <ml:id xml:space="preserve">length</ml:id> <ml:id xml:space="preserve">x</ml:id> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">yf</ml:id> <ml:real>0</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">i</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">p1</ml:id> <ml:real>1</ml:real> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">p2</ml:id> <ml:real>1</ml:real> </ml:localDefine> <ml:for> <ml:id xml:space="preserve">j</ml:id> <ml:range> <ml:real>0</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">n</ml:id> <ml:real>1</ml:real> </ml:apply> </ml:range> <ml:ifThen> <ml:apply> <ml:notEqual/> <ml:id xml:space="preserve">j</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">p1</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">p1</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">xf</ml:id> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:localDefine> <ml:localDefine> <ml:id xml:space="preserve">p2</ml:id> <ml:apply> <ml:mult/> <ml:id xml:space="preserve">p2</ml:id> <ml:parens> <ml:apply> <ml:minus/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">j</ml:id> </ml:apply> </ml:apply> </ml:parens> </ml:apply> </ml:localDefine> </ml:program> </ml:ifThen> </ml:for> <ml:localDefine> <ml:id xml:space="preserve">yf</ml:id> <ml:apply> <ml:plus/> <ml:id xml:space="preserve">yf</ml:id> <ml:apply> <ml:mult/> <ml:apply> <ml:indexer/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">i</ml:id> </ml:apply> <ml:apply> <ml:div/> <ml:id xml:space="preserve">p1</ml:id> <ml:id xml:space="preserve">p2</ml:id> </ml:apply> </ml:apply> </ml:apply> </ml:localDefine> </ml:program> </ml:for> <ml:id xml:space="preserve">yf</ml:id> </ml:program> </ml:define> </math> <rendering item-idref="5"/> </region> <region region-id="105" left="24" top="875.25" width="255" height="15.75" align-x="24" align-y="888" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Таблично заданная зависимость y = f(x):</f> </text> </region> <region region-id="102" left="42" top="916.5" width="72" height="331.5" align-x="59.25" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">x</ml:id> <ml:matrix rows="15" cols="1"> <ml:real>0.05</ml:real> <ml:real>0.1</ml:real> <ml:real>0.15</ml:real> <ml:real>0.2</ml:real> <ml:real>0.25</ml:real> <ml:real>0.3</ml:real> <ml:real>0.35</ml:real> <ml:real>0.4</ml:real> <ml:real>0.45</ml:real> <ml:real>0.5</ml:real> <ml:real>0.55</ml:real> <ml:real>0.6</ml:real> <ml:real>0.65</ml:real> <ml:real>0.7</ml:real> <ml:real>0.75</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="6"/> </region> <region region-id="103" left="156" top="916.5" width="78" height="331.5" align-x="172.5" align-y="1086" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">y</ml:id> <ml:matrix rows="15" cols="1"> <ml:real>0.36</ml:real> <ml:real>0.516</ml:real> <ml:real>0.6</ml:real> <ml:real>0.655</ml:real> <ml:real>0.690</ml:real> <ml:real>0.71</ml:real> <ml:real>0.728</ml:real> <ml:real>0.74</ml:real> <ml:real>0.754</ml:real> <ml:real>0.767</ml:real> <ml:real>0.778</ml:real> <ml:real>0.789</ml:real> <ml:real>0.8</ml:real> <ml:real>0.81</ml:real> <ml:real>0.815</ml:real> </ml:matrix> </ml:define> </math> <rendering item-idref="7"/> </region> <region region-id="106" left="18" top="1271.25" width="525" height="31.5" align-x="18" align-y="1284" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Функция, вычисляющая подынтегральное выражение при произвольном значении аргумента xf:</f> </text> </region> <region region-id="107" left="18" top="1320" width="192" height="58.5" align-x="57.75" align-y="1332" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:function> <ml:id xml:space="preserve">f</ml:id> <ml:boundVars> <ml:id xml:space="preserve">xf</ml:id> </ml:boundVars> </ml:function> <ml:program> <ml:localDefine> <ml:id xml:space="preserve">y</ml:id> <ml:apply> <ml:id xml:space="preserve">int_lagr</ml:id> <ml:sequence> <ml:id xml:space="preserve">x</ml:id> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">xf</ml:id> </ml:sequence> </ml:apply> </ml:localDefine> <ml:apply> <ml:div/> <ml:real>1</ml:real> <ml:apply> <ml:minus/> <ml:id xml:space="preserve">y</ml:id> <ml:id xml:space="preserve">xf</ml:id> </ml:apply> </ml:apply> </ml:program> </ml:define> </math> <rendering item-idref="8"/> </region> <region region-id="49" left="24" top="1409.25" width="118.5" height="15.75" align-x="48" align-y="1422" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Исходные данные:</f> </text> </region> <region region-id="50" left="24" top="1434" width="55.5" height="16.5" align-x="41.25" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">F</ml:id> <ml:real>1000</ml:real> </ml:define> </math> <rendering item-idref="9"/> </region> <region region-id="51" left="102" top="1434" width="58.5" height="21" align-x="125.25" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="1">x</ml:id> <ml:real>0.63</ml:real> </ml:define> </math> <rendering item-idref="10"/> </region> <region region-id="52" left="186" top="1434" width="58.5" height="21" align-x="209.25" align-y="1446" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve" subscript="2">x</ml:id> <ml:real>0.08</ml:real> </ml:define> </math> <rendering item-idref="11"/> </region> <region region-id="53" left="24" top="1463.25" width="81.75" height="15.75" align-x="54" align-y="1476" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <text use-page-width="false" push-down="false" lock-width="true"> <f size="14">Вычисления:</f> </text> </region> <region region-id="54" left="24" top="1490.25" width="148.5" height="47.25" align-x="46.5" align-y="1512" show-border="false" show-highlight="false" is-protected="true" z-order="0" background-color="inherit" tag=""> <math optimize="false" disable-calc="false"> <ml:define warning="WarnRedefinedBIUnit" xmlns:ml="http://schemas.mathsoft.com/math30"> <ml:id xml:space="preserve">W</ml:id> <ml:apply> <ml:div/> <ml:id 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