ReviewTest3Spr2011

ReviewTest3Spr2011 - Study Sheet for Test 3 MAC 3473 Honors Calculus 2 Keesling Test on 1 Determine the area of the circle using the polar

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Study Sheet for Test 3 MAC 3473, Honors Calculus 2 Keesling Test on 4/19/11 1. Determine the area of the circle using the polar coordinate parameterization ! ! = ! for 0 ! 2 ! . 2. Determine the arc length of the cardioid for the parameter range 0 ! 2 ! . The cardioid is parameterized by the following equation in polar coordinates. Also determine the area under within the cardiod. ! ! = ! 1 cos θ 3. Determine the centroid of the following figures. (a) The area under the curve ! ! = ! ! over 0 , 1 for ! = 0 , 1 , 2 , 3 . (b) The area under the curve ! ! = ! ! ! ! over the interval [ 0 , ! ] . (c) The area under the curve ! ! = sin ( ! ) over the interval [ 0 , ! ! ] . 4. Determine the centroid of the following curves. [Note: this is not the area under the curve, but just the curve itself.] (a) The curve ! ! = ! ! over the interval [ 0 , ! ] . (b) The curve ! ! = ! ! ! ! over the interval [ 0 , ! ] . 5.
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This note was uploaded on 07/14/2011 for the course MAC 3473 taught by Professor Block during the Spring '08 term at University of Florida.

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ReviewTest3Spr2011 - Study Sheet for Test 3 MAC 3473 Honors Calculus 2 Keesling Test on 1 Determine the area of the circle using the polar

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