Difference between revisions of "009B Sample Final 2, Problem 5"
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::<math>y^3=x</math> | ::<math>y^3=x</math> | ||
| − | <span class="exam">between <math>(0,0)</math> and <math>(1,1)</math> about the <math>y</math>-axis. | + | <span class="exam">between <math style="vertical-align: -5px">(0,0)</math> and <math style="vertical-align: -5px">(1,1)</math> about the <math style="vertical-align: -4px">y</math>-axis. |
<span class="exam">(b) Find the length of the arc | <span class="exam">(b) Find the length of the arc | ||
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::<math>y=1+9x^{\frac{3}{2}}</math> | ::<math>y=1+9x^{\frac{3}{2}}</math> | ||
| − | <span class="exam">between the points <math>(1,10)</math> and <math>(4,73).</math> | + | <span class="exam">between the points <math style="vertical-align: -5px">(1,10)</math> and <math style="vertical-align: -5px">(4,73).</math> |
{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
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'''(b)''' | '''(b)''' | ||
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{| class="mw-collapsible mw-collapsed" style = "text-align:left;" | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | ||
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|'''(a)''' | |'''(a)''' | ||
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| − | |'''(b)''' | + | |'''(b)''' |
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[[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']] | [[009B_Sample_Final_2|'''<u>Return to Sample Exam</u>''']] | ||
Revision as of 13:49, 3 March 2017
(a) Find the area of the surface obtained by rotating the arc of the curve
between Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (0,0)} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (1,1)} about the Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y} -axis.
(b) Find the length of the arc
- Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle y=1+9x^{\frac{3}{2}}}
between the points Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (1,10)} and Failed to parse (MathML with SVG or PNG fallback (recommended for modern browsers and accessibility tools): Invalid response ("Math extension cannot connect to Restbase.") from server "https://wikimedia.org/api/rest_v1/":): {\displaystyle (4,73).}
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Solution:
(a)
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(b)
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| (a) |
| (b) |