Solve the problem.The base of the closed cubelike surface is the unit square in the xy-plane. The four sides lie in the planes , x = 1, y = 0, and y = 1. The top is an arbitrary smooth surface whose identity is unknown. Let  and suppose the outward flux through the side parallel to the yz-plane is 3 and through the side parallel to the xz-plane is -5. What is the outward flux through the top?

A. 2
B. -2
C. Not enough information to determine
D. 0


Answer: A

Mathematics

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Factor, if possible.u2 - 8u + 15

A. (u - 5)(u - 3) B. (u + 5)(u - 3) C. (u + 5)(u + 3) D. (u - 5)(u + 3)

Mathematics

Solve the equation for the indicated variable.P = a + b + cfor a

A. a = b + c - P B. a = P - b - c C. a = P + b - c D. a = P + b + c

Mathematics

Solve the problem.Jerry builds rocking chairs and porch swings and sells them a a local flea market. The lumber requirements for each type of item are summarized in the table below. Currently, Jerry has 200 2×4's, 55 2×6's, and 200 1×4's in stock. Rocking chairs sell for $50 and porch swings sell for $115. How many pieces of each type of lumber are left over after Jerry has built the number of chairs and swings that maximize his revenue?

A. 0 2×4's, 0 2×6's, and 10 1×4's. B. 10 2×4's, 0 2×6's, and 4 1×4's. C. 4 2×4's, 0 2×6's, and 10 1×4's. D. 10 2×4's, 0 2×6's, and 0 1×4's.

Mathematics

Draw a complete graph so that it has the given type of symmetry.Symmetric with respect to the y-axis

A.

B.

C.

D.

Mathematics