Solve the variation problem.The volume V of a given mass of gas varies directly as the temperature T and inversely as the pressure P. A measuring device is calibrated to give  when  and  What is the volume on this device when the temperature is  and the pressure is 

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A. 83.6 cubic inches
B. 7.6 cubic inches
C. 53.6 cubic inches
D. 113.6 cubic inches

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Answer: A

Mathematics

Solve the problem.Evaluate  at (x, y, z) = (3, 2, 0) for the function u(p, q, r) = epq cos(r); p = ,  

A. 12
B.
C. 24
D. 0

Find the function value.f(x) = ; f(3)

A.
B.
C.
D. - 

Either the dimensions of two matrices or the matrices themselves are given. Find the dimensions of the product AB and the product BA. If either is not defined, say so.A is 2 × 1; B is 1 × 1.

A. AB is not defined; BA is 1 × 2. B. AB is 2 × 1; BA is not defined. C. AB is 2 × 2; BA is 1 × 1. D. AB is 1 × 2; BA is 1 × 1.

Solve the problem.A projectile is fired from a cliff 100 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 100 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?

A. 334.38 ft B. 156.25 ft C. 78.13 ft D. 178.13 ft