Problem 1. Recall that the Taylor expansion of e^x at 0 is K! K=0 Using this information, give a proof that 00 = X k=1 k! Problem 2. Evaluate the integral If x dA over the region D shown in the figure below. x + 2y =2 (or y = 1- x/2) D (1, !) y = x/2 0 Question 3 Define the function g(x,y) = 16xy. Find the constant c such that the volume under g over the triangle with corners (0,0), (c,0), (c,c) is 1