Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. 6 ln 
+ ln 
+ C
B. 3 ln 
+ ln 
- 
+ C
C. 3 ln 
+ ln 
+ C
D. 3 ln 
- 
+ C
Answer: C
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Evaluate the function for the given values of a and b. Then use the intermediate value theorem to determine which of the statements below is true.a = -2 and b = -1f(x) = 3x5 - 9x3 - 9x2 + 5
A. f(-2 ) and f(-1) have opposite signs, therefore the function f does not have a real zero between -2 and -1. B. f(-2 ) and f(-1) have the same sign, therefore the function f has a real zero between -2 and -1. C. f(-2 ) and f(-1) have the same sign, therefore the intermediate value theorem cannot be used to determine whether f has a real zero between -2 and -1. D. f(-2 ) and f(-1) have opposite signs, therefore the function f has a real zero between -2 and -1.
Provide an appropriate response.Solve the rational inequality: 
< 0
A. -1 < x < 4 B. -4 < x < 1 C. x < -1 or x > 4 D. x = -1 or x = 4
Provide an appropriate response.The swimming pool measures 60 ft by 28 ft. How much fencing is needed, including material for a gate, if the fence is to be built 10 ft from each side of the pool?
A. 1,720 ft B. 216 ft C. 256 ft D. 128 ft
Solve the problem.The function A = Aoe-0.0099x models the amount in pounds of a particular radioactive material stored in a concrete vault, where x is the number of years since the material was put into the vault. If 300 pounds of the material are initially put into the vault, how many pounds will be left after 150 years?
A. 70 pounds B. 68 pounds C. 321 pounds D. 217 pounds