Find the integral by using integration by parts or other techniques. Round the answer to four decimal places if necessary.

A. - (7x2 + 3)-4  + C
B. - (7x2 + 3)-6  + C
C. - (7x2 + 3)-6  + C
D. - (7x2 + 3)-4  + C


Answer: A

Mathematics

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A statement is made about correlation. State whether the correlation is positive or negative and whether the correlation is most likely due to coincidence, a common underlying cause, or a direct cause.When gasoline prices fall, the number of cars on the freeways increases.

A. Negative correlation; common underlying cause B. Positive correlation; common underlying cause C. Positive correlation; direct cause D. Negative correlation; direct cause

Mathematics

Solve the problem.A right circular cylinder is obtained by revolving the region enclosed by the line x = r, the x-axis, and the line  about the y-axis. Find the volume of the cylinder.

A. ?rh2 B. 2?r2h C. ?rh D. ?r2h

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Find the indicated series by the given operation.Find the first three terms of the expansion for  by multiplying the proper expansions together, term by term.

A. x - x2 +  x3 - . . .
B. -x + x2 -  x3 + . . .
C. 1 - x + x2 - . . .
D. x + x2 -  x3 + . . .

Mathematics

Evaluate the exponential function at the specified value of x.f(x) = 4x, x = 0.5

A.
B. 4
C. 2
D.

Mathematics