9. Find the constants a, b and c of cubic function f (x) = ax³ + bx + c such that : • The slope of tangent line at x = 3 is 0 f'(1) = 24 f(x) croses the x axis at the point (1,0)

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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9. Find the constants a, b and c of cubic function f (x) = ax³ + bx + c
[T: 3]
such that :
• The slope of tangent line at x = 3 is 0
• f'(1) = 24
f(x) croses the x axis at the point (1,0)
Transcribed Image Text:9. Find the constants a, b and c of cubic function f (x) = ax³ + bx + c [T: 3] such that : • The slope of tangent line at x = 3 is 0 • f'(1) = 24 f(x) croses the x axis at the point (1,0)
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