Use Stokes' theorem to evaluate dr where = (yz, 2xz, exy) and C is the circle x² + y² = 16, z = 4, traversed counterclockwise when viewed from above.

Let C be the positively oriented circle x² + y² = 1. Use Green's Theorem to evaluate the line integral 3y dx + 10x dy.

Q6

Graph the line that is described parametrically by (x, y) (2t,5 t), then.. %3D (a) Confirm that the point corresponding to t = O is exactly 5 units from (3,9). (b) Write a formula in terms of t for the distance from (3,9)to (2t, 5- t). (c) Find the other point on the line that is 5 units from (3,9). (d) Find the point on the line that minimizes the distance to (3,9). You may want a calculator.