The function graphed is of the form y = a sin bx or y = a cos bx, where b > 0. Determine the equation of the graph.

A. y = 4 cos 
B. y = 4 sin (3x)
C. y = -4 sin (3x)
D. y = -4 cos (3x)


Answer: C

Mathematics

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Evaluate the integral.dx

A.  sin 4x +  sin3 4x + C
B.  sin 4x -  cos3 4x + C
C.  sin 4x -  sin3 4x + C
D. 5 sin 4x -  sin3 4x + C

Mathematics

A recursion formula and the initial term(s) of a sequence are given. Write out the first five terms of the sequence.a1 = 2, an+1 = (-1)nan

A. 2, -2, -2, 2, 2 B. 2, 2, -2, -2, 2 C. 2, -2, 2, -2, 2 D. -2, 2, -2, 2, -2

Mathematics

Simplify using scientific notation. Express the answer in standard notation.

A. 19,500,000,000 B. 1,950,000 C. 195 D. 195,000,000

Mathematics

Solve the problem.What is the intensity in Watts/m2 of a noise measured at 57 decibels? The level of sound intensity in decibels (dB) is  where ? (beta) is the number of decibels, I is the sound intensity in W/m2, and I0=  (Round to the nearest hundredth.)

A. 5.70 × 10-10 W/m2 B. 5.01 × 10-6 W/m2 C. 2.99 × 1014 W/m2 D. 5.01 × 10-7 W/m2

Mathematics