Find the equation of the function f whose graph passes through the given point. (Remember to use absolute values where appropriate.) x³ 3x² + 2 X-2 f(x) = f'(x) = (3, -8)

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Problem Statement:**

Find the equation of the function \( f \) whose graph passes through the given point. (Remember to use absolute values where appropriate.)

**Given:**

\[ f'(x) = \frac{x^3 - 3x^2 + 2}{x-2} \]

Point: \( (3, -8) \)

**To Find:**

\[ f(x) = \, ? \]

**Instructions:**

Use the derivative \( f'(x) \) and the given point to find the function \( f(x) \).
Transcribed Image Text:**Problem Statement:** Find the equation of the function \( f \) whose graph passes through the given point. (Remember to use absolute values where appropriate.) **Given:** \[ f'(x) = \frac{x^3 - 3x^2 + 2}{x-2} \] Point: \( (3, -8) \) **To Find:** \[ f(x) = \, ? \] **Instructions:** Use the derivative \( f'(x) \) and the given point to find the function \( f(x) \).
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