Solve the problem.Find an equation of the form y = a sin (b(x - c)) for the graph shown below. Assume that a, b, and c are nonnegative.

A. y = 2.5 sin 
B. y = 5 sin 
C. y = 2.5 sin 
D. y = 2.5 sin 


Answer: C

Mathematics

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Evaluate the improper integral or state that it is divergent.

A. 0 B. -12 C. Divergent D. 12

Mathematics

Find the potential function f for the field F.F = (y - z)i + (x + 2y - z)j - (x + y)k

A. f(x, y, z) = xy + y2 - xz - yz + C B. f(x, y, z) = x(y + y2) - xz - yz + C C. f(x, y, z) = xy + y2 - x - y + C D. f(x, y, z) = x + y2 - xz - yz + C

Mathematics

Use a half-angle formula to find the exact value of the expression.tan 165°

A. - - 2
B.  - 2
C.  + 2
D. - + 2

Mathematics

Find the expected value.Mr. Cameron is sponsoring an summer concert. He estimates that he will make $300,000 if it does not rain and make $60,000 if it does rain. The weather bureau predicts the chance of rain is 0.34 for the day of the concert. What are Mr. Cameron's expected concert earning?

A. $300,000 B. $360,000 C. $60,000 D. $218,400

Mathematics