Determine the equation of the tangent line to y = (x 1)2 +sinx at the point (0, 1)by parameterizing the curve. Give the parameterization, bounds on the parameter, and the equation of the tangent line. Find the length of the curve given by r(t) = (NE, at, a") with 0 s t s 4. Hint: what is (at + e\")2? 3: (a) Find the parametrization of two different curves from the point (2,4) to (3,9). (b) Compute the work done of the vector eld F" = (213:, x2 + 2) over the two curves found in part (a). Assume we have the same vector eld as in Math Prompt 3. Give an example of a curve from (2,4) to (3,9) that would give a different numerical value for the work done, if possible. If it is not possible to nd a curve that gives a different numerical value for the work done, explain why