Find the partial derivative.Find fx(-3, -1) when f(x, y) = x3 + 4x2y.

A. 75
B. 87
C. 39
D. 51


Answer: D

Mathematics

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Solve the problem.Suppose that we wish to seat eight people, 4 men and 4 women, in a row of eight chairs. In how many ways can we seat the people if the men and women must alternate?

A. 80,640 ways B. 576 ways C. 1152 ways D. 48 ways

Mathematics

Solve the problem.A developer wants to enclose a rectangular grassy lot that borders a city street for parking. If the developer has 296 feet of fencing and does not fence the side along the street, what is the largest area that can be enclosed?

A. 16,428 ft2 B. 10,952 ft2 C. 21,904 ft2 D. 5476 ft2

Mathematics

Find (x) and state any values that cannot be included in the domain of (x).P(x) = 64x3 + 8; Q(x) = 4x + 2

A. 18x2 - 7x + 4, x ? -2
B. 16x2 - 8x + 4, x ? - 
C. 16x2 + 8x + 4, x ? - 
D. 4x2 + 8x + 4, x ? 

Mathematics

Sketch the graph of the polar equation.r = 7 sin 4?

A.

B.

C.

D.

Mathematics