MATH 3302, Summer 1, 2024 Due Tuesday, June 11, 4:00 PM You may use a calculator to check your work only. Show all computations in your s work. 1. Let f(x, y) = xy2 + 2xy. a. (4 pts) Compute of and of. b. (2 pts) Write the gradient vector of f. 821 021 021 and c. (6 pts) Compute azz, ardy' ayor' 2. Let f(x, y, z) = vsin2x + siny + sin? z. a. (6 pts) Compute the gradient vector of f. b. (3 pts) Use the gradient vector to determine f= (0, 7/2, 7/4). 3. Consider y2 - x2 + etz = 4. a. (6 pts) Use implicit differentiation to compute Oz/Or. b. (6 pts) Use implicit differentiation to compute Oz/dy