or 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= - 5 3 (B 15 a =-, b= - 2 O .--- ,b=- 1 3 (D) 3 b=- 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
2
a =-, b= - 5
3
b= - -
15
B
a =-,
b= - 1
3
a = - -
3
(D)
3
b=
2
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 2 a =-, b= - 5 3 b= - - 15 B a =-, b= - 1 3 a = - - 3 (D) 3 b= 2 a = - -
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