Find the Jacobian for the given transformation.x = 10u cos 8v, y = 10u sin 8v

A. 640v
B. 640u
C. 800v
D. 800u


Answer: D

Mathematics

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Solve the problem.A solid right circular cylinder is bounded by the cylinder r = 1 and the planes z = 0 and z = 5. Find the moment of inertia about the z-axis if the density is ? = 3z.

A. ?
B. ?
C. 25?
D. ?

Mathematics

Write the indicated function.A rectangular sign is being designed so that the length of its base, in feet, is 16 feet less than 4 times the height, h. Express the area of the sign as a function of h.

A. A(h) = -16h2 + 2h B. A(h) = -16h + 4h2 C. A(h) = 16h - 2h2 D. A(h) = -16h + h2

Mathematics

Complete the truth table by filling in the required columns.~ p ? ~ q  

A.

B.


C.



D.


Mathematics

Refer to the weighted voting system  and the Shapley-Shubik definition of power. (The three players are P1, P2, and P3.)Which player in the sequential coalition  is pivotal?

A. P2 B. P1 C. P3 D. All three players E. none of these

Mathematics