Problem 1 : - Consider the ellipse 92:2 + 492 = 1. A. - Calculate the area of the ellipse. Your nal answer should be exact (no decimals) and simplied. In your solution, make sure to do the following. Set up an integral or sum of integrals that gives the area of the ellipse. Evaluate your integral or sum of integrals using one of the integration techniques discussed in this course; do not evaluate using technology. B. - (Perimeter Two Ways) i. - Set up an integral or sum of integrals with respect to either a: or y (your choice) that represents the perimeter of the ellipse 9:.5'2 + 4343 = 1. ii. - Find constants a and b so :(t) = (a cos(2t),bsin(2t)) parameterizes the ellipse 95:72 + 4192 = 1. Then, 3 use the formula 3 = / |?'(t)' dt to set up an integral that gives the perimeter of the ellipse. A iii. Use technology to evaluate your answers from Parts i and ii. Report each result to 3 decimal places. Are t ey consistent with each other? Should they be? Why or why not