Determine whether the lines through each pair of points are perpendicular.(2, 0) and (6, -20); (6, 3) and (8, -7)
A. perpendicular
B. not perpendicular
Answer: B
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Find the area of the surface generated by revolving the curve about the indicated axis. y = , 3/2 ? x ? 9/2; x-axis
A. ?
B. ?
C. ?
D. ?
Provide an appropriate response.The data in the following table can be approximately modeled by an exponential function. Determine an exponential equation that models this data.
A. y = 14.21(0.7)x B. y = 20.3(1.7)x C. y = 29(0.7)x D. y = 14.21(1.3)x
Find the center (h, k) and radius r of the circle with the given equation. x2 + 2x + 1 + y2 - 16y + 64 = 64
A. (h, k) = (1, -8); r = 64 B. (h, k) = (-1, 8); r = 8 C. (h, k) = (-8, 1); r = 64 D. (h, k) = (8, -1); r = 8
Using the derivative of f(x) given below, determine the intervals on which f(x) is increasing or decreasing.f'(x) = (x - 7) e-x
A. Increasing on (-?, 7); decreasing on (7, ?) B. Decreasing on (-?, 7); increasing on (7, ?) C. Decreasing on (-?, -7); increasing on (-7, ?) D. Increasing on (-?, -7); decreasing on (-7, ?)