Use synthetic division to divide f(x) by x - c, and then write f(x) in the form f(x) = (x - c)q(x) + r.f(x) = x5 + x2 + 2; x - 2
A. (x - 2)(x4 + 3x2) + 8
B. (x - 2)(x4 + 3) + 8
C. (x - 2)(x4 + 2x3 + 4x2 + 9x + 18) + 38
D. (x - 2)(x4 + 2x3 + 5x2 + 10x + 20) + 42
Answer: C
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Find the extreme values of the function and where they occur.f(x) =
A. Absolute maximum is 6 at x = -2. B. Absolute maximum is 6 at x = 2. C. Absolute minimum is 0 at x = 1. D. Absolute minimum is 6 at x = 0.
Give a geometric description of the set of points whose coordinates satisfy the given conditions.(x - 10)2 + (y - 8)2 + (z - 3)2 < 1
A. All points within the lower hemisphere centered at (10, 8, 3) B. No set of points satisfy the given relations. C. All points outside the lower hemisphere centered at (10, 8, 3) D. All points on the lower hemisphere centered at (10, 8, 3)
Evaluate the expression.61
A.
B. 6
C. 1
D. -6
Solve the problem.A company offers three mutual fund plans for its employees. Plan I consists of 2 blocks of common stocks, 3 municipal bonds, and 4 blocks of preferred stock. Plan II consists of 2 blocks of common stocks, 2 municipal bonds, and 1 block of preferred stock. Plan III consists of 4 blocks of common stocks, 5 municipal bonds, and 5 blocks of preferred stock. An employee combined these plans so that he has 22 blocks of common stock, 27 municipal bonds, and 26 blocks of preferred stock. How many units of plan III might he have?
A. 0, 1, 2, 3, 4, 5, or 6 B. 3, 4, or 5 C. 0, 1, 2, 3, 4, or 5 D. 3, 4, 5, or 6