Consider the parametric curve C given by x = sin-1(5) y = 2/4 – t² where t e [-2, 2]. (a) Determine the values of t where C has horizontal and vertical tangent lines. (b) Set up, but do not evaluate the integral equal to the length of the arc of C from the point (0, 4) to the point (5,0).
Consider the parametric curve C given by x = sin-1(5) y = 2/4 – t² where t e [-2, 2]. (a) Determine the values of t where C has horizontal and vertical tangent lines. (b) Set up, but do not evaluate the integral equal to the length of the arc of C from the point (0, 4) to the point (5,0).
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