Provide an appropriate response.Solve for x: log3(x + 7) - 3log3 2 = log3 x
Fill in the blank(s) with the appropriate word(s).
Answer: 1
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Solve the problem.Find the center of mass of the region of constant density bounded by the paraboloid 
and the xy-plane.
A. 
= 0, 
= 0, 
= 27
B. 
= 0, 
= 0, 
= 3
C. 
= 0, 
= 0, 
= 
D. 
= 0, 
= 0, 
= 
Use the Binomial Theorem to expand the binomial and express the result in simplified form.(4x + 3)3
A. 16x6 + 12x3 + 729 B. 64x3 + 144x2 + 144x + 27 C. 64x3 + 144x2 + 108x + 27 D. 16x2 + 24x + 9
Solve the equation by completing the square.q2 + 8q - 3 = 0
A. -4 ± 2
B. -4 ± 
C. 4 + 
D. -1 ± 
Define T: R2 ? R2 by T(x) = Ax, where A is the matrix defined below. Find the requested basis B for R2 and the corresponding B-matrix for T.Find a basis B for R2 and the B-matrix D for T with the property that D is an upper triangular matrix.A = 
A.
B = 
, D = 
B.
B = 
, D = 
C.
B = 
, D = 
D.
B = 
, D = 