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Homework 9 Math 1371 Calculus I Page 4 of 6 6. (6375 #4 p.239) Use Newton's Method to find the the x-value of the point of intersection where 0

Homework 9 Math 1371 Calculus I Page 4 of 6 6. (6375 #4 p.239) Use Newton's Method to find the the x-value of the point of intersection where 0

Advanced Engineering Mathematics
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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PLEASE SOLVE THIS TWO QUESTION COMPLETELY

**Homework 9 - Math 1371 Calculus 1** **Page 4 of 6** **6. (6375 #4 p.239)** Use Newton's Method to find the \( x \)-value of the point of intersection where \( 0 < x \) of the curves \( y = x^2 \) and \( y = 2 \sin x \), correct to at least 6 decimal places.
Transcribed Image Text:**Homework 9 - Math 1371 Calculus 1** **Page 4 of 6** **6. (6375 #4 p.239)** Use Newton's Method to find the \( x \)-value of the point of intersection where \( 0 < x \) of the curves \( y = x^2 \) and \( y = 2 \sin x \), correct to at least 6 decimal places.
**Problem 3. (6349 #3 p. 114)** Let \( y = f(x) = \frac{1}{4}x^2 + \frac{3}{x} \). Find the increment \(\Delta y\) and differential \(dy\). Find the values of \(\Delta y\) and \(dy\) when \(x = 3\), \(dx = \Delta x = 0.2\).
Transcribed Image Text:**Problem 3. (6349 #3 p. 114)** Let \( y = f(x) = \frac{1}{4}x^2 + \frac{3}{x} \). Find the increment \(\Delta y\) and differential \(dy\). Find the values of \(\Delta y\) and \(dy\) when \(x = 3\), \(dx = \Delta x = 0.2\).
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