Write the partial fraction decomposition of the rational expression.

A.  +  + 
B.  +  + 
C.  +  + 
D.  +  + 


Answer: C

Mathematics

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Use the integral test to determine whether the series converges.

A. converges B. diverges

Mathematics

Use the partial sum formula to find the partial sum of the given arithmetic sequence.Find the sum of the first 48 terms of the arithmetic sequence {-4n + 2}.

A. -4512 B. -4248 C. -4608 D. -4416

Mathematics

Solve the problem.A ball is thrown downward from a window in a tall building. Its position at time t in seconds is  where s is in feet. How long (to the nearest tenth) will it take the ball to fall 209 feet?

A. 3.6 sec B. 7.8 sec C. 2.6 sec D. 2.8 sec

Mathematics

The function f is one-to-one. State the domain and the range of f and f-1. Write the domain and range in set-builder notation.f(x) = -7x + 3

A. f(x): D = {x|x > -7}, R is all real numbers; f-1(x): D = {x|x < -7}, R is all real numbers B. f(x): D = {x|x > -7}, R = {y|y > 3}; f-1(x): D = {x|x < -7}, R = {y|y < 3} C. f(x): D is all real numbers, R is all real numbers; f-1(x): D is all real numbers, R is all real numbers D. f(x): D is all real numbers, R = {y|y > 3}; f-1(x): D is all real numbers, R = {y|y < 3}

Mathematics