If F(x,y) = 3y. i+5x-j, find SF . •dr where Cis the straight-line path from (0,0) to (1,0), to (0,1) and back to (0,0). (A) 0 (B) 1 (C) 2 (D) 5 (E) 8

Find the distance from the point (-3,1,0) to the line d(t) = (1, 0, 2)t + (4, – 9, – 2) .

Two archers will simultaneously shoot once at a target. Let Xi , i = 1, 2, be marksman i's horizontal error, measured in meters. If the target's position is (a, b), and marksman i's shot ends up at (x, y), then Xi = (x - a). These errors are modeled by X1 ~ N(0, 0.5) and X2 ~ N(0, 1). What is the probability that both shots will be within 1 meter of the target, in the horizontal direction?