6. Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local movimu 2 logel nfloo point et (111)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.2: Applications Of Extrema
Problem 1YT: Find two nonnegative number x and y for which x+3y=30, such that x2y is maximized.
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6. Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a
local maximum at x = 3, local minimum at x = -1, and inflection point at (1,11).
Transcribed Image Text:6. Find the values of constants a, b, and c so that the graph of y = ax³ + bx² + cx has a local maximum at x = 3, local minimum at x = -1, and inflection point at (1,11).
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