Let C1 be the curve with parametric equations x = cos t, y = sint – t, where t E [0, 5). (a) Find the equation of the tangent line to C1 at the point where t = (b) Compute the length of C1.

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A: We can solve as follows

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A: The given integral is  1/[(x+1)(x2+4)2].

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A: Given:    v(t) = t ( 9 - t )     x ( 0 ) = - 5    t = 13

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A: Topic:- application of calculus

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A: Given problem:- xy =yx  To find:- y'

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A: To find the equilibrium point we have to put  D(x)= S(x) and solve for x .

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A: The given function,      jr=esechr2+2r

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A: Integrating both sides.

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A: answer is in next step

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A: Given that       y = (x+2)2+2

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A: This is a basic derivative problem

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A: Occours

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