Use a graphing utility to graph the function over the indicated interval and approximate any local maxima and local minima. Determine where the function is increasing and where it is decreasing. If necessary, round answers to two decimal places.f(x) = x3 - 4x2 + 6; (-1, 4)

What will be an ideal response?


local maximum at (0, 6)
local minimum at (2.67, -3.48)
increasing on (-1, 0) and (2.67, 4)
decreasing on (0, 2.67)

Mathematics

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Find the derivative.y = 

A.  cos (x3)
B. 5 cos (x3) - 5 sin (x3)
C. 6 cos (x3)
D. 5 cos (x3)

Mathematics

Find the slope and y-intercept of the line.x + y = 8

A. slope = 1; y-intercept = 8 B. slope = -1; y-intercept = 8 C. slope = -1; y-intercept = -8 D. slope = 0; y-intercept = 8

Mathematics

Solve the problem.Add (2x - 8 - 4x3) to the sum of (6 + x2 + 6x) and 

A. -3x3 + 3x2 + 8x - 8 B. -2x3 + 10x - 8 C. -3x3 + x2 + 10x - 2 D. -3x3 + x2 + 10x - 8

Mathematics

Solve the problem.How many arrangements of answers are possible in a multiple-choice test with 9 questions, each of which has 5 possible answers?

A. 15,120 B. 1,953,125 C. 126 D. 3024

Mathematics