Find the Taylor series generated by f at x = a.f(x) = x3 - 3x2 - 2x - 1, a = -2

A. (x + 2)3 - 9(x + 2)2 + 22(x + 2) - 17
B. (x + 2)3 + 9(x + 2)2 + 22(x + 2) + 17
C. (x + 2)3 + 9(x + 2)2 + 26(x + 2) + 17
D. (x + 2)3 - 9(x + 2)2 + 26(x + 2) - 17


Answer: A

Mathematics

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Determine the number of significant digits in the given approximate number.705.050

A. 3 B. 2 C. 4 D. 6

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Find the difference.0 - 12

A. -12 B. 0 C. 12 D. -11

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Graph the line. Also, give the x-intercept (if any), y-intercept (if any), and slope of the line (if defined).f(x) = -4

A. x-intercept: none; y-intercept: (0, -4);
slope: undefined

B. x-intercept: (-4, 0); y-intercept: none;
slope: 0

C. x-intercept: none; y-intercept: (0, -4);
slope: 0

D. x-intercept: (-4, 0); y-intercept: none;
slope: undefined

Mathematics

Find the center, foci, and vertices of the ellipse. +   = 1

A. center at (0, 0)
foci at (0, 8) and (2, 0)
vertices at (0, 64), (4, 0)
B. center at (0, 0)
foci at (- 2, 0) and (2, 0)
vertices at (-8, 0), (8, 0)
C. center at (0, 0)
foci at (0, -8) and (0, 8)
vertices at (0, -64), (0, 64)
D. center at (0, 0)
foci at (0, - 2) and (0, 2)
vertices at (0, -8), (0, 8)

Mathematics