Use reduction formulas to evaluate the integral.
A. - 
cot3 4x + 
cot 4x + x + C
B. - 
cot2 4x + 
cot 4x - x + C
C. - 
cot3 4x + 
cot 4x + C
D. - 
cot3 4x - 
cot 4x + x + C
Answer: A
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In an adiabatic process (one in which no heat transfer takes place), the pressure P and volume V of an ideal gas such as oxygen satisfy the equation 
where C is a constant. Suppose that at a certain instant of time, the volume of the gas is 2L, the pressure is 100 kPa, and the pressure is decreasing at the rate of 5 kPa/sec. Find the rate at which the volume is changing.
What will be an ideal response?
Solve the problem.A boat has a sail that is a right triangle. The sail is 42.9 feet tall and has a base measuring 9.5 feet. What is the approximate length of the hypotenuse of the sail. Round the the nearest hundredth of a foot.
A. 52.4 ft B. 1930.66 ft C. 43.94 ft D. 7.24 ft
Solve. If necessary, round percents to the nearest tenth, dollar amounts to the nearest cent, and all other numbers to the nearest whole.Write the ratio $24 to $20 as a fraction in simplest form.
A. 
B. $
C. $
D. 
Find dy/dx by implicit differentiation.x1/3 - y1/3 = 1
A. 
2/3
B. 
2/3
C. - 
2/3
D. - 
2/3