Solve the problem.A water wheel rotates through the angle ?, the water level L behind the wheel changes according to the equation L = 1 - sin ? - 2 cos2 ?where L is measured in inches. Determine the values of ? for which the water level is zero. Find the exact values. Do not use a calculator.
What will be an ideal response?
? = 
, 
, 
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Provide an appropriate response.If y = eln(x3 + 2x + 1), then find y'.
What will be an ideal response?
Perform the operations indicated. Simplify the answer whenever possible.13
- 
A. 12
B. 11
C. 12
D. 13
A study prepared for the National Association of Realtors estimates that the number of housing starts per year over the next 5 yr will be 
million units, where r (percent) is the mortgage rate. Use differentials to estimate the decrease in the number of housing starts when the mortgage rate is increased from 17% to 17.8%. Round to the nearest unit.
?
Give your answer as a number without the units.
Fill in the blank(s) with the appropriate word(s).
Solve.The radioactive decay of radium 226 can be described by the equation 
where C is the original amount of radium and A is the amount of radium remaining after t years. If 27 milligrams of radium are sealed in a container now, how much radium will be in the container after 100 years. Round to the nearest thousandth.
A. 25.869 mg B. 26.988 mg C. 1.202 mg D. 28.18 mg