Chapter102006 - H r, θ L , if r 2 = − 4 cos 2 θ 8. Find...

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Chapter 10 Test April 4, 2006 No Calculators Name 1. Find the equation H s L of the horizontal tangent line H s L if x = 2t 2 + 1, y = t 3 6t 2. Find d 2 y ccccccccc dx 2 if x = 1 cccc 2 tan t, y = 1 cccc 2 sec t, and t = π cccc 3 3. Find the length of the curve if x = 2t 2 sin t, y = 2 2 cos t, and 0 t ≤π .
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4. Find r H t L if dr ccccccc dt = 1 cccccccccccccccc t 2 + 4 i + 1 ccccccccccccc t + 9 j and r H 0 L =< 2, 0 > 5. Find the equation of the tangent line for x = 4t 3 + 2 t and y =− 2t 2 4t + 1 when t = 1 6. Find the slope of the tangent line for r = 1 + 2 cos θ ,a t θ= 5 π ccccccc 6 .
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7. Sketch the graph of the polar equation, and be sure to label at least three polar points
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Unformatted text preview: H r, θ L , if r 2 = − 4 cos 2 θ 8. Find the area of the region that is inside both r = 2 − 2 sin θ and r = 3 9. Find the area of the region that is inside r = 2 sin 2 θ and outside r = è!!! 2 . 10. Find the area of the region that is bounded by the loop of the strophoid r = sec θ − 2 cos θ 1 2 11. Find the length of the curve r = 2 sin 2 J θ cccc 2 N from θ = to θ = π ....
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This note was uploaded on 08/29/2010 for the course MATH 44323 taught by Professor Anderson during the Spring '09 term at University of California, Berkeley.

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Chapter102006 - H r, θ L , if r 2 = − 4 cos 2 θ 8. Find...

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