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a) Find the parametric equations for the circle centered at (1,0) of radius 2 generated clockwise...

a) Find the parametric equations for the circle centered at (1,0) of radius 2 generated clockwise starting from (1+21/2 , 21/2). <---( one plus square root 2, square root 2)

b) When given x(t) = tcost, y(t) = sint, 0 <_ t. Find dy/dx as a function of t.

c) When given the parametric equations x(t) = eatsin2*(pi)*t, y(t) = eatcos2*(pi)*t where a is a real number. Find the arc length as a function of a for 0 <_ t <_ 1.

d) Graph the polar equation r = 2sin(theta) + 3 in the polar plane and the Cartesian plane.

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