Express the integrand as a sum of partial fractions and evaluate the integral.
A. tan-1 
- 
- 
+ C
B. 
tan-1 
+ 
- 
+ C
C. 
tan-1 
- 
+ 
+ C
D. 
tan-1 
+ ln 
- 
+ C
Answer: B
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Use the Factor Theorem to determine whether x - c is a factor of the given function for the given value of c. If x - c is a factor, then write f in factored form. That is, write f(x) = (x - c)(quotient).f(x) = x2 - 11x + 30; c = 5
A. Yes; f(x) = (x - 5)(x + 6) B. Yes; f(x) = (x - 5)(x - 6) C. Yes; f(x) = (x + 5)(x + 6) D. No
Use common or natural logarithms to solve the exponential equation symbolically.3(6 + 3x) = 
A. x = 
+ 
B. x = - 
- 2
C. x = 
- 6
D. x = - 
+ 18
Simplify. Assume that no denominator is zero and 00 is not considered.(t - 3)9 (t - 3)2
A. (t - 3)11 B. (t - 3)18 C. (2t - 6t + 9)18 D. (2t - 6)11
Evaluate the function for f (5).
A) 3
B) 1
C) 2
E) no real number