Problem 3. (1 point) Problem 5. (1 point) Let z = ex-), where x = f(r,s) and y = g(r, s) are differentiable Which of the following is equal to the iterated integral: functions of r and s. Which of the following is equal to a dz ? Hint: Switch the order of integration to be didxdy. . A. 2xet yz fr (r, s ) + 2xex-12 fs(r, s) - 2yet2-12gr(1,5) 2 yet -y gs (1, S) . B. ex -y f (r,s ) tex-y gs(r, s) . A . [." I. I s( x. y, z ) dadxdy . C. fx(r, s ) = + gy (r,s) . B. [ J. J. f(x, y,z) dadxdy . D. 2xet2-32 dx ar . c. J. " J. I f( x. y,z ) dadxdy . E. 2xex- - yzf (r,s ) - 2vex2-12g -Y gs (1,s ) Correct Answers: . D. J. [,= /, f(x,y,z) dadxdy . E . J . J . J f ( x. y, z) dadxdy Correct Answers: . D Problem 4. (1 point) Which of the following is equal to the iterated integral: Jo ly f ( x. y ) dady ? Problem 6. (1 point) Which of the following would be equal to the integral of Hint: Switch the order of integration to be dydx. f (x, y, z ) = Vx + 12+ 2 2 over the part of the sphere *2 + 12 + Z z2 J above by the surface z = 2x + 3y. Which of the following is the . C. rdrd0 volume of the region D? 37/4 . D. TC / 4 rarde 27 It/4 "sec(0) . E. opp V2 T /4 JO . B. 54 Correct Answers: . C. 27- 9 E V2 . D. O . E. 27V2 Correct Answers: . E