Factor completely. If a polynomial is prime, then state this as your answer.84x3 + 49x2y + 7xy2
A. (21x2 + 7y)(4x + y)
B. 7x(3x - y)(4x - y)
C. 7x(3x + y)(4x + y)
D. (3x2 + y)(28x + 3y)
Answer: C
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Decide whether the expression is or is not an identity.tan 
cos x + tan 
= sin x
A. Identity B. Not an identity
Solve the problem.Set up the triple integral for the volume of the sphere 
in spherical coordinates.
A. 
B. 
C. 
D. 
For the function, find the average rate of change of f from 1 to x: 
f(x) = 
A. 
B. - 
C. 
D. 
Solve the problem.The Acme Class Ring Company designs and sells two types of rings: the VIP and the SST. They can produce up to 24 rings each day using up to 60 total man-hours of labor. It takes 3 man-hours to make one VIP ring and 2 man-hours to make one SST ring. How many of each type of ring should be made daily to maximize the company's profit, if the profit on a VIP ring is $40 and on an SST ring is $30?
A. 14 VIP and 10 SST B. 12 VIP and 12 SST C. 10 VIP and 14 SST D. 14 VIP and 14 SST