Answered: Find a, b, c, and d such that the curve…

Find a, b, c, and d such that the curve y=ax^3+bx^2+cx+d has its tangent line at (1, 1) and at (0, -2) are parallel to lines y=3x+4 and y=−x−2, respectively.

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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Find a, b, c, and d such that the curve y=ax^3+bx^2+cx+d has its tangent line at
(1, 1) and at (0, -2) are parallel to lines y=3x+4 and y=−x−2, respectively.

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Step 2: Find the slopes of the lines.

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Step 3: Find the derivative of the function.

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Step 4: Set up the equation.

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Step 5: Solve for unknown.

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