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

A.  - 6x + 9 ln -  + C
B.  - 6x - 27 ln +  + C
C.  - 6x + 27 ln +  + C
D. 27 ln +  -  + C


Answer: C

Mathematics

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A. 60,000 B. 0.06 C. 0.00001667 D. 0.0006

Mathematics

Solve the problem.A basketball fieldhouse seats 15,000. Courtside seats sell for $10, endzone for $6, and balcony for $5. Total revenue for a sell-out is $92,000. If half the courtside and balcony and all the endzone seats are sold, the total revenue is $52,000. How many of each type of seat are there in the fieldhouse?

A. 3,000 courtside; 2,000 endzone; 10,000 balcony B. 2,000 courtside; 5,000 endzone; 8,000 balcony C. 3,200 courtside; 1,800 endzone; 10,000 balcony D. 4,000 courtside; 3,000 endzone; 8,000 balcony

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Find the area of the figure using determinants.

A. 35.5 B. 34.0 C. 34.5 D. 35.0

Mathematics

Find the domain and range.{(9,-6), (9,-2), (6,-9), (-11,6), (-10,-8)}

A. domain = {-2, 6, -8, -9, -6}; range = {9, 9, -11, -10, 6} B. domain = {9, 12, -11, -10, 6}; range = {-2, 6, -8, -9, -6} C. domain = {9, -11, -10, 6}; range = {-2, 6, -8, -9, -6} D. domain = {9, -2, -11, -10, 6}; range = {-2, 6, -8, -9, -6}

Mathematics