Express the function as a sinusoid of the form y = a sin (bx + c).y = 2 sin (3x) - 5 cos (3x)

A. y =  sin 
B. y =  sin 
C. y =  sin 
D. y =  sin 


Answer: D

Mathematics

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Write the function in the form y = f(u) and u = g(x). Then find dy/dx as a function of x.y = cos3 x

A. y = cos u; u = x3 = - 3x2 sin(x3)
B. y = u3; u = cos x;  = 3 cos2 x sin x
C. y = u3; u = cos x;  = - 3 cos2 x sin x
D. y = cos u; u = x3 = - sin(x3)

Mathematics

Provide the requested response.For the viewing rectangle [1970, 2010, 10] by [13,000, 27,000, 1000] , state the number of tick marks on the positive y-axis.

A. 21 B. 17 C. 10 D. 15

Mathematics

Find the exact value of the following expression without using a calculator.tan 60°

A.
B.
C. 2
D.

Mathematics

Solve the problem.The graph of y = f(x) represents the amount of oil in millions of gallons remaining in a tank after x days. (i) Estimate the initial and final amounts of oil contained in the tank. (ii) When did the amount of oil in the tank remain constant?

A. 160 million gallons, 60 million gallons; 0 ? x ? 4 or 12 ? x ? 14 B. 160 million gallons, 20 million gallons; 0 ? x ? 6 or 8 ? x ? 14 C. 160 million gallons, 60 million gallons; 12 ? x ? 14 D. 140 million gallons, 40 million gallons; 8 ? x ? 16

Mathematics