Suppose f(x) = 2ar³ + b°x – 4c where a, b and e are real constants. Suppose that ƒ has a horizontal tangent line at z = 2, and that the tangent line to f at r = 0 is given by y = 8r + 4. Use the given information to find all possible values for a, b, and c. Explain your reasoning.

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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5.
Suppose f(x) = 2ax³ + b³x – 4c where a, b and c are real constants. Suppose that f has a horizontal
tangent line at r = 2, and that the tangent line to f at r = 0 is given by y = 8x + 4.
Use the given information to find all possible values for a, b, and c. Explain your reasoning.
Transcribed Image Text:5. Suppose f(x) = 2ax³ + b³x – 4c where a, b and c are real constants. Suppose that f has a horizontal tangent line at r = 2, and that the tangent line to f at r = 0 is given by y = 8x + 4. Use the given information to find all possible values for a, b, and c. Explain your reasoning.
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