Translate the stated rule or relationship to a formula.The volume, V, of a sphere is 
? multiplied by the cube of the radius, r, of the sphere.
A. V = 4?r3
B. V = 
?r
C. V = 
?
D. V = 
?r3
Answer: D
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Find all the second order partial derivatives of the given function.f(x, y) = cos xy2
A. fxx(x, y) = y2 sin xy2; fyy(x, y) = 2[2y2 cos (xy2) - sin (xy2)] ; fyx(x, y) = fxy(x, y) = 2y[y2 cos (xy2) - sin (xy2)]
B. fxx(x, y) = -y4 cos xy2; fyy(x, y) = - 2x[2xy2 cos (xy2) + sin (xy2)]; fyx(x, y) = fxy(x, y) = - 2y[xy2 cos (xy2) + sin (xy2)];
C. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2[ sin (xy2)- 2y2 cos (xy2)] ; fyx(x, y) = fxy(x, y) = 2y [sin (xy2)-y2 cos (xy2)]
D. fxx(x, y) = - y2 sin xy2; fyy(x, y) = 2y
; fyx(x, y) = fxy(x, y) = 2
A man hikes up a mountain to the peak, where he rests for a few minutes and then continues down the other side of the mountain. We measure his location as distance up from the base of the mountain. What can be said about the man's velocity when he is hiking down the mountain?
A. Velocity is positive. B. Velocity is negative. C. Velocity is 0. D. None of the above.
Find the absolute value.
A. 4 B. 0 C. -2 D. 2
Draw an appropriate Venn diagram and use the given information to fill in the number of elements in each region.n(A') = 26, n(B) = 32, n(A ? B) = 11, n(A'? B') = 35
A. 
B. 
C. 
D. 