Use the graph to find the average rate of change.
Number of Hours Spent Traveling
A. 4.2 mph
B. 0.2 mph
C. 0.5 mph
D. 2.2 mph
Answer: A
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Solve the problem.Derive a series for ln(1 + x2) for x > 1 by first finding the series for 
and then integrating. (Hint: 
)
A. 2 ln x + 
B. ln x + 
C. ln x + 
D. 2 ln x + 
Use the table to estimate the rate of change of y at the specified value of x.x = 1.
A. 1 B. 1.5 C. 0.5 D. 2
Find the Taylor polynomial of order 3 generated by f at a.f(x) = 
, a = 1
A. P3(x) = 
- 
+ 
- 
B. P3(x) = 
- 
+ 
- 
C. P3(x) = 
- 
+ 
- 
D. P3(x) = 
- 
+ 
- 
Increasing the down payment on a mortgage reduces both the size of the monthly payments and the total interest paid. Calculate the reduction in the monthly payment by increasing the down payment by the amount specified, and the amount saved on interest over the life of the loan. Assume the mortgage is for 20 years and use the table to find the monthly payments. 
A. $151.80, $36,432.00 B. $164.68, $39,523.20 C. $139.38, $33,451.20 D. $123.51, $29,642.40