Solve the problem.Find the inflection points (if any) on the graph of the function and the coordinates of the points on the graph where the function has a local maximum or local minimum value. Then graph the function in a region large enough to show all these points simultaneously. Add to your picture the graphs of the function's first and second derivatives.y = x5 - 4x4 - 200

What will be an ideal response?


The zeros of y' = 0 and y" = 0 are extrema and points of inflection, respectively. Inflection at  local maximum at x = 0, local minimum at x = .

Mathematics

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Solve the rational inequality. Write the solution set using interval notation; then graph the solution set on a number line. > x

A. (0, 3) ? (6, ?)

B. (-?, 3) ? (6, ?)

C. (-?, 0) ? (3, 6)

D. (6, ?)

Mathematics

Solve the inequality. Express your answer using interval notation.|x - 5| - 1 ? 2

A. [2, 8] B. no solution C. (-?, 2) or (8, ?) D. [-2, 2]

Mathematics

Convert the angle to decimal degrees and round to the nearest hundredth of a degree.120°19'

A. 120.19° B. 120.32° C. 120.63° D. 120.38°

Mathematics

Write the slope-intercept form of the equation for the line passing through the given pair of points.(-8, 1) and (9, 5)

A. y = x + 
B. y = x + 
C. y = - x + 
D. y = - x + 

Mathematics