Calculate the flow in the field F along the path C. F = (x - y) i - (x 2 + y 2) j; C is curve from (4, 0) to (-4, 0) on the upper half of the circle x 2 + y 2 = 16 Hint: use the  parametric equation: x = 4 cost and y = 4sint and t is between 0 and Pi, since it is only the upper part of the circle.   a) (16pi-1)/4   b) - 8π   c) 16π   d) 8π

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.