Suppose u and v are differentiable functions of x. Use the given values of the functions and their derivatives to find the value of the indicated derivative.u(2) = 7, u '(2) = 3, v(2) = -3, v '(2) = -4. (3v - u) at x = 2

A. -2
B. -9
C. -16
D. -15


Answer: D

Mathematics

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Solve the problem.City A, City B, and City C are together undertaking a road construction project. The nine-member committee has representatives allocated to the committee in proportion to the population in each city. City A has a population of 15,000, City B has a population of 18,000, and City C has a population of 19,000. Apportion the committee seats using the Hamilton method and the  method.

A. City A: 2; City B: 3; City C: 4 (Hamilton method); City A: 3; City B: 3; City C: 3 (Huntington-Hill method) B. City A: 3; City B: 3; City C: 3 (Both methods) C. City A: 3; City B: 3; City C: 3 (Hamilton method); City A: 2; City B: 3; City C: 4 (Huntington-Hill method) D. City A: 2; City B: 3; City C: 4 (Both methods)

Mathematics

Write the percent as a fraction in lowest terms. 12.5%

A.
B.
C.
D.

Mathematics

Provide an appropriate response. A submarine locates a ship with sonar. The distance between the two is 3,500 feet. The angle of elevation of the submarine to the ship is 37°. Approximately how deep is the submarine below the ship? 

A. 2,637 ft B. 2,795 ft C. 4,645 ft D. 2,106 ft

Mathematics

Find the function value.Let f(x) = 4x. Find f(3).

A. 256 B. 12 C. 81 D. 64

Mathematics