Simplify the expression.-62 

A. 49
B. 36
C. -12
D. -36


Answer: D

Mathematics

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Use the shell method to find the volume of the solid generated by revolving the region bounded by the given curves and lines about the x-axis.x = 8 - y2, x = y2, y = 0

A. 32? B. 8? C. 4? D. 16?

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Answer each question appropriately.If differentiable functions y = F(x) and y = G(x) both solve the initial value problem     on an interval I, must   for every x in I? Justify the answer.

A. F(x) = G(x) for every x in I because integrating f(x) results in one unique function. B. F(x) and G(x) are not unique. There are infinitely many functions that solve the initial value problem. When solving the problem there is an integration constant C that can be any value. F(x) and G(x) could each have a different constant term. C. There is not enough information given to determine if F(x) = G(x). D. F(x) = G(x) for every x in I because when given an initial condition, we can find the integration constant when integrating f(x). Therefore, the particular solution to the initial value problem is unique.

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Solve the problem.Suppose 5 cards are drawn from a deck of 52 cards. What is the probability of drawing 4 jacks with any other card?

A.
B.
C.
D.

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Provide an appropriate response.9x2 - 4 has a common factor of 36. Is this statement true?

A. No, it is not true. B. Yes, it is true.

Mathematics