Solve the problem.The motion of a spring-mass system is described by the equation  where y is the distance in feet from the equilibrium position and t is time in seconds. If the weight is 22 feet from the ceiling in a state of equilibrium, find the closest the weight will ever be to the ceiling.

A. 22 ft
B. 20 ft
C. 24 ft
D. 2 ft


Answer: B

Mathematics

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Evaluate the integral.

A.
B. 700
C. 1050
D. 350

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Solve the proportion equation. =  

A.
B.
C. 1
D. 63

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The volume of a right circular cone of radius r and height h is Suppose that the radius and height of the cone are changing with respect to time t.

a. Find a relationship between
b. At a certain instant of time, the radius and height of the cone are 12 in. and 13 in. and are increasing at the rate of 0.2 in./sec and 0.5 in./sec, respectively. How fast is the volume of the cone increasing?

Mathematics

Combine like terms.5ab + 9a + 15 + 4ab

A. 18a2b + 15 B. 18a + 9b + 15 C. 18ab + 15 D. 9ab + 9a + 15

Mathematics