Evaluate the integral.

A. 18 csc (9? + 10) cot (9? + 10) + C
B. 9 cot (9? + 10) + C
C. -  cot (9? + 10) + C
D. -cot (9? + 10) + C


Answer: C

Mathematics

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Solve.The equation that represents the proper traffic control and emergency vehicle response availability in a small city is  where P is the number of police cars on active duty and F is the number of fire trucks that have left the firehouse in response to a call. In order to comply with staffing limitations, the equation  is appropriate. The number of police cars on active duty and the number of fire trucks that have left the firehouse in response to a call cannot be negative, so 

style="vertical-align: -4.0px;" /> and  Graph the regions satisfying all the availability and staffing requirements, using the horizontal axis for P and the vertical axis for F. If 5 police cars are on active duty and 5 fire trucks have left the firehouse in response to a call, are all of the requirements satisfied?

A. Yes

B. No

C. No

D. Yes

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A. - 
B. - 
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Find the amplitude, period, or phase shift of the given function as requested.Find the phase shift of y = 2 cos

A.
B. -
C. 2?
D. 8?

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If you purchase a home for $195,000 with a down payment of 11%, what is the amount of the down payment and the amount of the loan?

A) down payment: $17,727 amount of the loan: $177,273 B) down payment: $21,450 amount of the loan: $195,000 C) down payment: $23,810 amount of the loan: $192,641 D) down payment: $21,450 amount of the loan: $173,550 E) down payment: $23,810 amount of the loan: $195,000

Mathematics