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 horizonta 3 b= - 15 A a =- 2 2 2 a = - -. b= -1 3 a =-, b=- 5 3 3 b = B)

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.5: Equations Of Lines
Problem 47E
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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?
3
b= -
15
A
a =-
2
2
2
a = - -. b= -1
3
a =-, b=- 5
3
3
b =
2
a=-
B)
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? 3 b= - 15 A a =- 2 2 2 a = - -. b= -1 3 a =-, b=- 5 3 3 b = 2 a=- B)
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