Write the trigonometric expression as an algebraic expression in u.sin (tan-1 u)

A. u
B.
C.
D.


Answer: D

Mathematics

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Solve the problem. = ky + f(t) is a population model where y is the population at time t and f(t) is some function to describe the net effect on the population. Assume k = .02 and y = 10,000 when t = 0. Solve the differential equation of y when f(t) = -21t.

A. y = -1050t - 52,500 - 42,500e.02t B. y = 1050t + 52,500 - 42,500e-.02t C. y = -1050t + 52,500 - 42,500e-.02t D. y = 1050t + 52,500 - 42,500e.02t

Mathematics

Solve the problem.A carousel has a radius of 17 feet and takes 25 seconds to make one complete revolution. What is the linear speed of the carousel at its outside edge? Express the answer in feet per second. If necessary, round the answer to two decimal places.

A. 4.27 feet per second B. 9.24 feet per second C. 0.68 feet per second D. 106.81 feet per second

Mathematics

Write as a decimal number rounded as indicated.0.; Round to the nearest thousandth.

A. 0.949 B. 0.95 C. 0.950 D. 0.944

Mathematics

Solve the problem.A flower garden extends from the corner of a house in a three-quarter circle. The radius of the flower bed is 2.7 ft. If the edging material costs $0.36 per linear foot, what is the cost of edging the entire bed (not including the portion against the house). Round your answer to the nearest cent.

A. $2.29 B. $9.16 C. $6.10 D. $4.58

Mathematics