Factor the trinomial completely. If the trinomial cannot be factored, say it is prime.a3b2 + 3a2b - 54a
A. a(a2b2 + 3ab - 54)
B. a(ab + 6)(ab - 9)
C. a4(b - 6)(b + 9)
D. a(ab - 6)(ab + 9)
Answer: D
Mathematics
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Evaluate the integral.
d?
A. 
+ C
B. ln (1 + e3?) + C
C. 3 ln (1 + e3?) + C
D. 
+ C
Mathematics
Find the volume of the indicated region.the region bounded by the paraboloid 
and the xy-plane
A. 54? B. 6? C. 27? D. 9?
Mathematics
Calculate the derivative of the function. Then find the value of the derivative as specified.
t = -1 if s = t2 - t
A. 
= 2t + 1; 
t = -1
= -1
B. 
= 2t - 1; 
t = -1
= -3
C. 
= t - 1; 
t = -1
= -2
D. 
= 2 - t; 
t = -1
= 3
Mathematics
Determine whether the following is always true or not always true. Given reasons for your answers.(u × v) ? v = 0
What will be an ideal response?
Mathematics