5. Evaluate ff fo peosodV where E is the solid bounded below by the cone d = 7/6 and above by the sphere p = 2 in spherical coordinates. 6. Consider the region R bounded by a' + 4y? = 1. Define u = x + 2y and v = r - 2y. Write r and y in terms of u, v. Find the image of R in the uv-plane under this transformation. 7. Evaluate ff exp{ }dA where R is the region in the ry-plane bounded by the trapezoid with vertices (0, 1), (0, 2), (2, 0), and (1, 0) by a suitable change of variables. 8. Evaluate the line integral [, F . dr where F(x, y) = er-li + ryj and C is given by r(t) = 'i+* j. 9. Let F(x, y) = (3+2ry?) i+2ryj. Find a function f such that F = Vf and use it to evaluate ( F . dr where C is the arc of the hyperbola y = 1/x from (1, 1) to (4, 1/4)