Compute the unit normal vector field that will give the surface parametrized by r(u, v) = eu cos(v), eu sin(v), uv , D = {(u, v) | 0 ≤ u ≤ 4, 0 ≤ v ≤ 2π} the downward orientation. (Your instructors prefer angle bracket notation < > for vectors.)

At the beginning of year 1, carlos invests $600 at an annual compound interest rate of 4%. he makes no deposits to or withdrawals from the account. which explicit formula can be used to find the account's balance at the beginning of year 5? what is, the balance?

If ∠q = 44°, then m = 44°. true false

Renee hiked for 6 3 /4 miles. after resting, renee hiked back along the same route for 5 1 /4 miles. how many more miles does renee need to hike to return to the place where she started? represent your answer as a simplified mixed number, if necessary.