Simplify the expression. Assume all variables represent nonzero real numbers.(x4y8)3
A. x4y24
B. x12y24
C. x7y11
D. x64y512
Answer: B
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Find an upper bound for the magnitude |E| of the error in the approximation f(x, y) ? L(x, y) at the given point over the given region R.
at 
; R: |x - 2| ? 0.2, |y - 1| ? 0.2
A. |E| ? 9.12384 B. |E| ? 16.72704 C. |E| ? 12.92544 D. |E| ? 13.10328
Match the vector equation with the correct graph.
r(t) = 2 cos ti + sin tk; 0 ? t ? ?
A. Figure 7 B. Figure 2 C. Figure 4 D. Figure 6
Determine whether the infinite geometric series converges or diverges. If it converges, find its sum.4 + 8 + 10 + 12 + ...
A. Converges; ? B. Converges; 34 C. Converges; 23 D. Diverges
Use an ordered pair to identify each point on the given coordinate plane. State the quadrant or axis where each point lies.
A. A(-2, 5) in Quadrant II; B(0, 1) on the x-axis B. A(2, -5) in Quadrant IV; B(1, -1) in Quadrant IV C. A(2, 5) in Quadrant I; B(0, 1) on the y-axis D. A(2, 5) in Quadrant I; B(0, -1) on the y-axis