Determine whether the improper integral converges or diverges.

A. Diverges
B. Converges


Answer: B

Mathematics

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Solve the initial value problem. = -  cos ?, r(0) = -5

A. = -sin - 5
B. = -  sin - 5
C. = sin - 5
D. =  cos - 6

Mathematics

Solve the problem.Find the maximum value of    subject to    and  

A. 3 + 
B. 3 - 
C. 3 + 
D. 3 - 

Mathematics

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

Mathematics

Find the center and the radius of the circle.x2 + y2 - 16x + 8y + 80 = 64

A. (-4, 8); r = 8 B. (-8, 4); r = 64 C. (4, -8); r = 64 D. (8, -4); r = 8

Mathematics