Find the volume of the following solid. f(x, y) = e"x The solid between the cylinder f(x,y) = e * * and the region R = {(x,y) : 0sxs In 7, - 4sys4). Which of the following integrals can be used to evaluate the volume of the solid? Select all that apply. 4 In 7 In 7 4 O A. ex dy dx OB. e -* dy dx -4 1 -4 In 7 4 In 7 O c. [ Je-xax dy D. e -* dx dyFind the volume of the given solid over the indicated region of integration. f(x,y) =2x + 5y +7; R={(x,y): -2sxs2, 2sys4} Which of the following integrals can be used to evaluate the volume of the solid? Select all that apply. 2 2 4 O A. [[(2x + 5y + 7)dy dx O B. [ [(2x + 5y + 7) dy dx -2 2 2 -2 4 2 2 4 O c. (2x + 5y + 7) dx dy OD. [ [ (2x + 5y + 7) dx dy 2 - 2 -2 2Evaluate the following double integral over the region R by converting it to an iterated integral. [ [ xy sin x2 dA: R= ((xy): 7 =x= JR. 0sys27 R Choose the two integrals that are equivalent to | | xy sin x2 dA. R X 2 A. J J xy sin x2 dy dx 2 VI O B. xy sin x2 dx dy o 2 VX J xy sinx dy dx NX 2 O c. OD. | xy sin x2 dx dy