Show that F(z, y) = (ry, z°y?) is not path independent by considering the line segment from (0,0) to (2, 2) and the piece of the graph of y = that goes from (0, 0) to (2,2). %3D %3D

Find the image of the line z = 3 +iy under f(z) = e+

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?