Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and passes through the point (1, 4). y =

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and passes through the point (1, 4).
y =
Transcribed Image Text:Find a parabola with equation y = ax2 + bx + c that has slope 8 at x = 1, slope -12 at x = -1, and passes through the point (1, 4). y =
Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal.
(х, у) %3D ( —2,21
(smaller x-value)
(х, у) %3D
1, – 6
(larger x-value)
Transcribed Image Text:Find the points on the curve y = 2x3 + 3x2 – 12x + 1 where the tangent line is horizontal. (х, у) %3D ( —2,21 (smaller x-value) (х, у) %3D 1, – 6 (larger x-value)
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