Evaluate. The differential is exact.
A. 0
B. -13
C. -12
D. -11
Answer: B
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Find the flux of the vector field F across the surface S in the indicated direction.F = 3x2j - z5k; S is the portion of the parabolic cylinder y = 10x2 for which 0 ? z ? 4 and -1 ? x ? 1; direction is outward (away from the y-z plane)
A. 8 B. - 8 C. -24 D. 24
Provide an appropriate response.Find the direction in which the function is increasing most rapidly at the point P0.f(x, y, z) = xy - ln(z), P0(1, -2, 2)
A. 
(-4i - 2j + k)
B. 
(-4i + 2j - k)
C. 
(-4i + 2j - k)
D. 
(-4i + 2j - k)
Find the area of the geometric figure.
A. 80 sq in. B. 72 sq in. C. 32 sq in. D. 56 sq in.
Solve.Grant worked 6 hours and packed 74 cartons of books. At this rate, how many cartons can he pack in 10 hours?
A. 123
cartons
B. 123 cartons
C. 124 cartons
D. 123
cartons