For problems 1 and 2 , use the parametric equations : ; 8 a: x E 8 1. For the given parametric equations , (a) Eliminate the parameter to obtain a Cartesian equation for the curve. (b) Use your equation in part (a) to determine type of symmetry, if any. (c) Use your equation in part (a) to determine the concavity of the curve. ((1) Use your results in parts (a) (c) to sketch graph; label at least 3 points on the curve. 2. For the same parametric curve as in #1, (a) Determine parametric equations of the tangent line to the curve at t = 1, and graph this line on the graph in #1. (b) Compute the area under the curve by evaluating a parametric definite integral. (c) Compute the length of the curve over the given interval by evaluating a parametric definite integral