Establish the identity.cos
= 
cos x - 
sin x
What will be an ideal response?
cos 
= cos x cos 
- sin x sin 
= 
cos x - 
sin x.
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Find a formula for the nth partial sum of the series and use it to find the series' sum if the series converges.
+ 
+ 
+ ... + 
+ ...
A. 
; 
B. 
; 
C. 
; 
D. 
; 
Solve the problem.The following figure shows the shape and dimensions of a small dam. Assuming the water level is at the top of the dam, find the total force on the face of the dam. 
A. 381,024,000 N B. 304,819,200 N C. 203,212,800 N D. 6,350,400 N
Solve the problem.Bill makes a $127.33 per month payment for 3 years to pay off a $4000 loan. What was the 
interest rate?
A. 8.5% B. 3.8% C. 4.9% D. None of the above is correct.
Solve the problem.Attendance has been increasing for a minor league hockey team as they have had more success. The percentage of the seats filled in different years is given in the table. Let p be the percentage of seats filled each year that is t years since 2000.
Predict the percentage of seats filled in 2010.
A. 73.28% of seats filled B. 22% of seats filled C. 100% of seats filled D. 83.91% of seats filled