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Unformatted text preview: 2 ) 4 ( 2 3 x y if t = x 1. Simplify each completely. 6) For the plane curve given by ) 3 cos( 2 x , ) 4 sin( 5 y , find the generalized slope dx dy and the specific slope when x = 0. Restrict values of your angle to the first quadrant. 7) Find the arc length of the plane curve given by cos 2 5 x , 1 sin 2 y on the interval 3 4 , 6 . 8) For the polar coordinate 6 7 , 3 , do the following: a) Graph the polar coordinate. b) Find two equivalent polar coordinates: _______ and _______ c) Find the corresponding rectangular coordinate: ____________ 9) For the rectangular coordinate 3 , 3 , find the corresponding polar coordinate. 10) Graph ) 2 sin( 5 r by filling in the chart below and plotting each point. 0 4 2 4 3 4 5 2 3 4 7 2 r 11) Find the area of one petal of ) 3 cos( 4 r . First, find the tangent lines at the pole, then find the area using those values as your limits of integration....
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 Fall '11
 Staff
 Calculus, Addition, Polar coordinate system, Conic section, polar coordinate, plane curve

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