Determine the upper and lower bounds on the zeros of the given function.F(x) = 3x4 - 8x3 - 8x - 9
A. upper bound: 2; lower bound: -2
B. upper bound: 1; lower bound: -2
C. upper bound: 4; lower bound: -1
D. upper bound: 1; lower bound: -1
Answer: C
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Identify the quadric surface by name. Find and describe the xy-, xz-, and yz-traces, when they exist.16x2 - 16y2 - z = 0
A. Elliptic paraboloid; xz-trace: 16x2 - z = 0 (parabola); yz-trace: 16y2 + z = 0 (parabola) B. Elliptic paraboloid; xz-trace: 16x2 - z = 0 (hyperbola); yz-trace: 16y2 + z = 0 (hyperbola) C. Elliptic cone; xz-trace: 16x2 - z = 0 (hyperbola); yz-trace: 16y2 + z = 0 (hyperbola) D. Hyperbolic paraboloid; xz-trace: 16x2 - z = 0 (parabola); yz-trace: 16y2 + z = 0 (parabola)
Find the intersection.6x + 2y + 9z = -10, -9x - 9y - 8z = 10
A. x = 65t - 70, y = -33t - 30, z = 36t
B. x = 65t - , y = -33t +
, z = -36t
C. x = -2340t - 70, y = 1188t + 30, z = 36t
D. x = -65t + 70, y = 33t + -30, z = 36t
Write the polynomial in descending order.-9 - 8x2 + 5x4 - 3x3 - 2x
A. 5x4 - 2x - 3x3- 8x2 - 9 B. -9 - 2x - 8x2 - 3x3 + 5x4 C. 5x4 - 3x3 - 8x2 - 2x - 9 D. -9 - 8x2 + 5x4 - 3x3 - 2x
Determine the slope and y-intercept of the line represented by the given equation.-x + 7y = 35
A. m = - ; y-intercept is (0, 5)
B. m = ; y-intercept is (0, 5)
C. m = -1; y-intercept is (35, 0)
D. m = 7; y-intercept is (-35, 0)