Find the slope of the tangent line to the graph of f at the given point.f(x) = -4x2 + 7x at (5, -65)
A. 3
B. -13
C. -33
D. 33
Answer: C
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Use a graphing calculator to find the vertex of the graph of the function.f(x) = 4x2 - x + 6
A. (-0.125, 5.9375) B. (0.125, 6.0625) C. (0.125, 5.9375) D. (0.125, 6)
Determine if the given function y = f(x) is a solution of the accompanying differential equation.y' = - y2y =
A. Yes B. No
For each quadratic function, find (a) the maximum or minimum value and(b) the x- and y-intercepts.Round answers to the nearest hundredth.f(x) = 2.27x2 + 4.062x - 3.63
A. Minimum value: -5.45; No x-intercepts, (0, -3.63) B. Minimum value: -5.45; Intercepts: (0.65, 0), (-2.44, 0), (0, -3.63) C. Minimum value: -5.45; Intercepts: (2.44, 0), (-0.65, 0), (0, -3.63) D. Maximum value: -5.45; Intercepts: (0.65, 0), (-2.44, 0), (0, -3.63)
Divide the given interval into n subintervals and list the value of ?x and the endpoints of the subintervals.-5 ? x ? 2; n = 5
A. ?x = 0.4; a0 = -5, a1 = -4.3, a2 = -2.9, a3 = -0.8, a4 = 0.6, a5 = 2 B. ?x = 1.4; a0 = -5, a1 = -4.3, a2 = -2.2, a3 = -0.8, a4 = 1.3, a5 = 2 C. ?x = 1.4; a0 = -5, a1 = -3.6, a2 = -2.2, a3 = -0.8, a4 = 0.6, a5 = 2 D. ?x = 1.75; a0 = -5, a1 = -3.25, a2 = -1.5, a3 = 0.25, a4 = 2