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Consider the given vector equation. r(t) = 4 sin(t)i - 3 cos(t)j (a) Find r'(t). XFind the unit tangent vector T(t) at the point with

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Consider the given vector equation. r(t) = 4 sin(t)i - 3 cos(t)j (a) Find r'(t). XFind the unit tangent vector T(t) at the point with the given value of the parameter r. r(t) = cos(t)i + Stj + 2 sin(4t)l(, t = O Evaluate the integral. (sec (t) i + t(t2 + 1)2 j + +5 In(t) k) dt In(t) - + C X

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