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| − | <span class="exam">Consider the region bounded by the following two functions: | + | <span class="exam">Find the volume of the solid obtained by rotating the region bounded by the curves <math>y=x</math> and <math>y=x^2</math> about the line <math>y=2.</math> |
| − | ::::::::<span class="exam"> <math style="vertical-align: -5px">y=2(-x^2+9)</math> and <math style="vertical-align: -4px">y=0</math>.
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| − | <span class="exam">a) Using the lower sum with three rectangles having equal width, approximate the area. | |
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| − | <span class="exam">b) Using the upper sum with three rectangles having equal width, approximate the area.
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| − | <span class="exam">c) Find the actual area of the region. | |
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| | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" | | {| class="mw-collapsible mw-collapsed" style = "text-align:left;" |
Revision as of 20:10, 17 February 2017
Find the volume of the solid obtained by rotating the region bounded by the curves 
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 y=x^2}
about the line 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=2.}
Solution:
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(b)
(c)
| Final Answer:
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| (a)
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| (b)
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| (c)
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