Express the integrand as a sum of partial fractions and evaluate the integral.
dx
A. ln 
+ 
ln 
+ tan-1 
+ C
B. 4 ln 
- 
ln 
- tan-1 x + C
C. 4 ln 
+ 
ln 
+ 
tan-1 
+ C
D. 4 ln 
+ 
ln 
+ sin-1 
+ C
Answer: C
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Solve.A tool and die company machines a part that is supposed to measure 8.75 mm in diameter. For quality control purposes, ten parts are selected at random and measured to determine how closely they match the specified diameter. The results are as follows:8.758.738.748.758.758.768.738.758.748.76(a) Find the range of the measurements.(b) Find the standard deviation of measurements.
A. (a) 0.04 mm, (b) 0.01 mm B. (a) 0.03 mm, (b) 0.01 mm C. (a) 0.03 mm, (b) 0.02 mm D. (a) 0.04 mm, (b) 0.02 mm
Divide, if possible.-198 ÷ 9
A. - 
B. -22
C. -32
D. 22
Solve. If necessary, round to the nearest tenth.A flagpole casts a shadow of 34 feet. Nearby, a 7-foot tree casts a shadow of 5 feet. What is the height of the flagpole?
A. 24.3 ft B. 1,190 ft C. 1 ft D. 47.6 ft
Factor.7pq4 - 7pr4
A. 7p(q2 + r2)(q + r)(q - r) B. 7p(q2 + r2)(q2 - r2) C. (7pq2 + 7pr2)(7pq2 - 7pr2) D. (7pq2 + pr2)(pq2 - pr2)