Use integration by parts to establish a reduction formula for the integral.
A. 
= 
+ 
B. 
= 
- 
C. 
= ax(ln ax) n - an 
D. 
= x(ln ax) n - n 
Answer: D
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Find the center of mass of a thin plate covering the given region with the given density function.The triangular region cut from the first quadrant by the line y = -x + 1, with density ?(x) = x
A. 
= 
, 
= 
B. 
= 
, 
= 
C. 
= 
, 
= 
D. 
= 
, 
= 
Find the amount paid by each insurance company. Assume that any coinsurance requirement is met.Insurance loss: $102,000Company A coverage: $400,000Company B coverage: $50,000Company C coverage: $50,000
A. A pays: $81,600 B pays: $10,200 C pays: $10,200 B. A pays: $51,000 B pays: $34,000 C pays: $17,000 C. A pays: $102,000 B pays: $0 C pays: $0 D. A pays: $34,000 B pays: $34,000 C pays: $34,000
Solve the problem.A furniture store has an average inventory of 
at retail, and an average inventory of 
at cost. The cost of goods sold for the same period is $26,073.58 and sales of furniture were 
. Find (a) Stock turnover at cost, and (b) stock turnover at retail. Round to the nearest hundredth.
A. (a) 6.90, (b) 6.94 B. (a) 1.44, (b) 1.43 C. (a) 6.94, (b) 6.90 D. (a) 4.83, (b) 9.91
The problem that follows refers to triangle ABC.
?
If 
and 
cm, find a.
?
Apply the rules regarding the use of significant digits after all computations are complete.
?
__________ cm
Fill in the blank(s) with the appropriate word(s).