Find the x-value where the maximum value of y Round your answer to 10 decimal places. 22 In+1 = In Newton's Calculator: (Note: These answers are not graded. It is simply a calculator to help you answer the question above.) f(x) f(x) = f'(x) = 20= x² =e6 n= occurs using Newton's Method.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Find the \( x \)-value where the maximum value of \( y = e^{\frac{x}{6}} - x^2 \) occurs using Newton's Method.

Round your answer to 10 decimal places.

\( x \approx \) [ ]

***

**Newton's Calculator:**

(Note: These answers are not graded. It is simply a calculator to help you answer the question above.)

\[ x_{n+1} = x_n - \frac{f(x)}{f'(x)} \]

\[ f(x) = \] [ ]

\[ f'(x) = \] [ ]

\[ x_0 = \] [ ]

\[ n = \] [ ]
Transcribed Image Text:Find the \( x \)-value where the maximum value of \( y = e^{\frac{x}{6}} - x^2 \) occurs using Newton's Method. Round your answer to 10 decimal places. \( x \approx \) [ ] *** **Newton's Calculator:** (Note: These answers are not graded. It is simply a calculator to help you answer the question above.) \[ x_{n+1} = x_n - \frac{f(x)}{f'(x)} \] \[ f(x) = \] [ ] \[ f'(x) = \] [ ] \[ x_0 = \] [ ] \[ n = \] [ ]
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