Math Problem Statement

Determine a and b if y = -13 is a tangent to the graph of the function y = -ax^3 - 4x^2 + 8x + b at x = -2.

Solution

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Math Problem Analysis

Mathematical Concepts

Calculus
Tangent Lines
Polynomial Functions

Formulas

Derivative of a polynomial function f'(x) = 3ax^2 + 2bx + c
Point-slope formula for a tangent line

Theorems

Definition of a Tangent Line
First Derivative Test

Suitable Grade Level

Grades 11-12

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