Evaluate the integral by using multiple substitutions. dy

A. sin4  + C
B. cos4  + C
C. 2 sin4  + C
D. 6 sin2  + C


Answer: A

Mathematics

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Solve the problem.A 100 gal tank is half full of distilled water. At time = 0, a solution containing 2 lb/gal of concentrate enters the tank at the rate of 4 gal/min, and the well-stirred mixture is withdrawn at the rate of   When the tank is full, how many pounds of concentrate will it contain?

A. 200 pounds B. 150 pounds C. 187.5 pounds D. 175 pounds

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Find the indicated quantity.Find the moment of inertia with respect to its axis of the solid generated by revolving the region bounded by  and the  about the  where k is the density.

A. ?k
B. ?k
C. ?k
D. ?k

Mathematics

Solve the equation. = 

A.
B.  
C.  
D. 1

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Write the equation of a function that has the given characteristics.The graph of y = , shifted 2 units to the left

A. y = 
B. y = 
C. y =  - 2
D. y =  + 2

Mathematics