Use integration by parts to establish a reduction formula for the integral.
A. 
= - 
sinn-1 x cos x + 
B. 
= - 
sinn-1 x cos x - 
C. 
= sinn-1 x cos x - (n - 1) 
D. 
= sinn-1 x cos x + (n - 1) 
Answer: A
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Solve the problem.Two sound waves, producing the pressures 
and 
combine on a person's ear drum to produce the pressure 
Find the amplitude and phase shift for the total pressure.
A. A = 2.2, ? = 849.079 B. A = 2.2, ? = 0.9273 C. A = 5, ? = 849.079 D. A = 5, ? = 0.6435
Perform the indicated operation or operations.
+ 
A. 
B. 
C. 
D. 
Perform the operations indicated. Write your answer in simplest form.
÷ 
A. 
B. 
C. - 
D. - 
The proprietor of Carson Hardware Store has decided to set up a sinking fund for the purpose of purchasing a computer 3 yr from now. It is expected that the purchase will involve a sum of $30,000. The fund grows at the rate of
?
?
where A denotes the size of the fund at any time t, r is the annual interest rate earned by the fund compounded continuously, and P is the amount (in dollars) paid into the fund by the proprietor per year (assume this is done on a frequent basis in small deposits over the year so that it is essentially continuous). If the fund earns 8% interest per year compounded continuously, determine the size of the yearly investment the proprietor should pay into the fund.
?
Round the answer to the nearest dollar.
?
$__________
Fill in the blank(s) with the appropriate word(s).