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(Solved): 1. Find a Cartesian equation for the following curves by eliminating the parameters. Your answer CA ...
1. Find a Cartesian equation for the following curves by eliminating the parameters. Your answer CANNOT contain any inverse trig functions. [ 7 points] a. \( x=t^{2}-2 t+1, y=e^{5 t+2} \) b. \( x=\sin ^{3} \theta, y=\csc ^{2} \theta \) 2. Find the equation of the tangent line to the curve \( x=4 \sqrt{t}, y=\frac{t^{3}}{3}+\frac{1}{2 t^{2}} \) at the point \( \left(8, \frac{2051}{96}\right) \). [7 points]