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 12:49, 3 March 2017
(a) Find the area of the surface obtained by rotating the arc of the curve
- 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^3=x}
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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| Final Answer: |
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| (a) |
| (b) |