Using the Divergence Theorem, find the outward flux of F across the boundary of the region D.F = xyi + y2j - 2yzk ; D: the solid wedge cut from the first quadrant by the plane 
and the parabolic cylinder x = 16 - 9y2
A. 
B. 
C. 
D. 
Answer: D
Mathematics
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Determine whether F is conservative.F = 8x7y8i + 
j - 
k
A. conservative B. not conservative
Mathematics
Factor completely.48x2 + 28xy + 4y2
A. 4(3x + y)(4x + y) B. (12x + 4y)(4x + y) C. 4(3x - y)(4x - y) D. (3x + y)(4x + 3y)
Mathematics
The graph of the function f is shown below. Match the function g with the correct graph.g(x) = - 
f(x)
A. 
B. 
C. 
D. 
Mathematics
Solve the problem.The surface area of a balloon is given by S(r) = 4?r2, where r is the radius of the balloon. If the radius is increasing with time t, as the balloon is being blown up, according to the formula 
find the surface area S as a function of the time t.
A. S(r(t)) = 
?t6
B. S(r(t)) = 
?t6
C. S(r(t)) = 
?t9
D. S(r(t)) = 
?t3
Mathematics