Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line.

y = 4 – , y = 0; the line y = 6




b.

Mathematics

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

A. 6 ln  + ln  +  tan-1  + C
B. 5 ln  +  - ln  + sin-1  + C
C. 6 ln  -  + ln  +  tan-1  + C
D. 7 ln  + ln  +  tan-1  + C

Mathematics

Solve the problem.Jackie is considering a job that offers a monthly starting salary of $2500 and guarantees her a monthly raise of $140 during her first year on the job. Find the general term of this arithmetic sequence and her monthly salary at the end of her first year.

A. an = 2500 + 140n ; $4040 B. an = 2500 + 140n ; $4180 C. an = 2360 + 140(n - 1) ; $3900 D. an = 2360 + 140n ; $4040

Mathematics

Use the Quotient Rule to find the derivative of the function.

Mathematics

Find the exact value of the expression. Do not use a calculator.sin  - cos 

A.
B.
C. 1
D. 0

Mathematics