Calculus II Find an equation in x and v for the line tangent to the curve at t =

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Calculus II

Find an equation in x and v for the line tangent to the curve at t = 1. x(t) = 4t y(t) = cos (pit) Find an equation in x and v for the line tangent to the curve at t = 2 x(t) = 2/t y(t) = t2 + 2 Find an equation in x and v for the line tangent to the polar curve at theta=0. y=10-5sin(theta) Parameterize the curve by a pair of differentiable functions x = x(t), y = y(t) with [x '(t)]2 + y '(t)]"/= 0 then determine the tangent line at the orgin. y=6x3 Find a parameterization x = x(t) : v = y(t) . t epsilon [ 0, 1 ] , for the line segment from (2, 4) to (8, 3).

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