A. Solve the following problems using the concepts of Parametric Equations. Show complete solutions. 1. Find the equation of the tangent line (s) to the following set of parametric equations at the given point. a. x = 7sint and y = t2 +1 at (0,3) b.x = evt and y = t - Int? at t = 1 %3D

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A: To find the arc length L  of the graph of r(t).

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A: Given problem:- Describe the graph of the equation.   r = - 6i + (1 - t2) j + tk

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A: Given problem:- Find exactly T(t) and N(t) for x = et cost, y = et sint, z = et for t = 0

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A: 1) y=2x2+e2x-1Differentiatey'=2x2ln(2).2x+2e2x-1dydx=2x2+1.xln(2)+2e2x-12)…