Provide an appropriate response.Suppose that A and B are two matrices such that A + B, A - B, and AB all exist. What can you conclude about the dimensions of A and B?
A. A and B have the same dimension, but are not necessarily square matrices.
B. A is a row matrix and B is a column matrix.
C. A and B are square matrices of the same dimension.
D. There are no dimensions of A and B that would make this possible.
Answer: C
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Factor.125c3 + 8
A. (5c + 2)(25c2 + 4) B. (5c - 2)(25c2 + 10c + 4) C. (5c + 2)(25c2 - 10c + 4) D. (125c + 2)(c2 - 10c + 4)
Find the first four nonzero terms in the Maclaurin series for the function.f(x) = ln (1 + x3)
A. x3 -
x6 +
x9 -
x12 + . . .
B. x3 - x6 +
x9 -
x12 + . . .
C. x3 - x6 +
x9 -
x12 + . . .
D. x3 + x6 -
x9 +
x12 + . . .
Calculate the area of the surface S.S is the lower portion of the sphere x2 + y2 + z2 = 81 cut by the cone z =
A. 18?
B. 162?
C. 81
D. 81?
Graph the equation. Identify the coordinates of the vertex.y = -x2 + 2x + 3
A. (1, 4) B. (- 1, - 4) C. (- 1, 4) D. (1, - 4)