Express the integrand as a sum of partial fractions and evaluate the integral.

A.  - 10x + 75 ln +  + C
B. 75 ln +  -  + C
C.  - 10x + 15 ln -  + C
D.  - 10x - 75 ln +  + C


Answer: A

Mathematics

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Solve the problem.Find the point on the curve x = 4 sin t, y = cos t, -  ? t ? , closest to the point . (Hint: Minimize the square of the distance as a function of t.)

A. (4, 0)
B.
C.  
D. (-4, 0)

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Evaluate the expression without using a calculator.log42

A. 4
B. 1
C. 2
D.

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Let f(x) = 8x2 - 5x and g(x) = 7x + 9. Find the composite.f[g(k)]

A. 56k2 + 35k + 9 B. 392k2 - 973k + 603 C. 56k2 - 35k + 9 D. 392k2 + 973k + 603

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Classify the triangle as acute, obtuse, or right.

A. acute B. obtuse C. right

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