Find the partial fraction decomposition for the rational expression.
A. 
+ 
B. 
+ 
C. 
+ 
D. 
+ 
Answer: D
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The following table shows the mass M, in kilograms, of a certain type of fish as a function of its length L in centimeters.
80100120140160
21.542.574.1119179?
A. Calculate the average rate of change in mass as the length goes from 100 centimeters to 120 centimeters.B. Calculate the average rate of change in mass as the length goes from 140 centimeters to 160 centimeters.C. Based on your calculations from parts A and B, does an extra centimeter of length make more difference in weight for a smaller fish or a larger fish?
What will be an ideal response?
A balloon is leaking air, and the rate of change in volume is proportional to the volume. Let V denote the volume, in liters, of air in the balloon after t seconds, and take -0.03 to be the constant of proportionality.
?
A: Write an equation of change satisfied by 
.
?
B: If there are initially 8 liters of air in the balloon, find a formula that gives V as a function of t. Write your answer using the alternative form for an exponential function.
?
C: How long will it take for 10% of the initial volume of air to leak from the balloon? Round your answer to two decimal places.
What will be an ideal response?
Evaluate the improper integral.
A. 
B. 
C. 
D. 
Find the exact value of the expression.tan 345°
A. 
B. 2 + 
C. -2 - 
D. 