Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y)=9xe* near the origin. The quadratic approximation of f(x,y) is
Use Taylor's formula for f(x,y) at the origin to find quadratic and cubic approximations of f(x,y)=9xe* near the origin. The quadratic approximation of f(x,y) is
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![**Title: Quadratic and Cubic Approximations Using Taylor's Formula**
**Problem Statement:**
Use Taylor's formula for \( f(x,y) \) at the origin to find quadratic and cubic approximations of \( f(x,y) = 9xe^{4y} \) near the origin.
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**Solution:**
The quadratic approximation of \( f(x,y) \) is \[ \boxed{\quad \} \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb21cc1b3-0a4b-474e-87d5-2a9f16683342%2F1bdafba3-970a-4c98-a8ee-91461a1fac41%2F9cenbu7_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Quadratic and Cubic Approximations Using Taylor's Formula**
**Problem Statement:**
Use Taylor's formula for \( f(x,y) \) at the origin to find quadratic and cubic approximations of \( f(x,y) = 9xe^{4y} \) near the origin.
---
**Solution:**
The quadratic approximation of \( f(x,y) \) is \[ \boxed{\quad \} \]
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