For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at x = 2 and x = 3 horizontal? A) a= - -. b=-1 3 В b= - 5 3 a = 15 b= - 2 2 © --- b= 2 2 a= --

Trigonometry (MindTap Course List)
10th Edition
ISBN:9781337278461
Author:Ron Larson
Publisher:Ron Larson
Chapter6: Topics In Analytic Geometry
Section6.2: Introduction To Conics: parabolas
Problem 4ECP: Find an equation of the tangent line to the parabola y=3x2 at the point 1,3.
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For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at x = 2 and x = 3 horizontal?
(A)
a= - -, b=- 1
3
B
a=-, b=- 5
3
a =-. b=- -
2
15
(c)
2
3
3
(D
b=-
a= - -
Transcribed Image Text:For the curve y = ax³ + bx² + 12x - 7, what values of a and b will make the tangents to the curve at x = 2 and x = 3 horizontal? (A) a= - -, b=- 1 3 B a=-, b=- 5 3 a =-. b=- - 2 15 (c) 2 3 3 (D b=- a= - -
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