Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. - 
- 
+ C
B. 2 ln 
- 
- 
+ C
C. 
- 
+ C
D. 
- 
- 
+ C
Answer: A
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Provide an appropriate response.A fan belt in a car connects three different sized pulleys (see figure below). One is 10 cm in diameter, one is 7.5 cm in diameter and the last one is 4 cm in diameter. If the large pulley turns at 1000 rpm, how fast do the other two pulleys turn?
Fill in the blank(s) with the appropriate word(s).
Use a sum or difference identity to find the exact value.tan 75°
A. 
+ 2
B. - 
+ 2
C. 
- 2
D. - 
- 2
Find a general term, an, for the given terms of the sequence.-3, -6, -9, -12, -15, . . .
A. an = 3n
B. an = -3n + 1
C. an = - 
D. an = -3n
Find a function P(x) of least possible degree, having real coefficients, with the given zeros.3 + 
, 3 - 
, and 3
A. P(x) = x3 - 11x2 + 21x + 11 B. P(x) = x3 - 9x2 + 21x - 9 C. P(x) = x3 + 9x2 + 21x - 9 D. P(x) = x3 - 11x2 + 21x + 9