### Applying Newton's Method for Intersection Points**Objective:**Use Newton's Method to approximate the x-value(s) at the intersection point(s) of the given graphs. The process should continue until the difference between two successive approximations is less than 0.001.**Functions:**- \( f(x) = 2x + 2 \)- \( g(x) = \sqrt{x} + 8 \)**Hint:**Let \( h(x) = f(x) - g(x) \).**Initial Guess:**- \( x = -8 \)**Graph Description:**The graph contains two functions:- The line \( f \) (depicted as a straight, upward-sloping line).- The curve \( g \), which begins at a higher y-value and is relatively horizontal due to the nature of the square root function.Both graphs intersect at a point in the given coordinate grid:- The x-axis ranges from -1.0 to 2.0, incremented by 0.5.- The y-axis ranges from 0 to 4, incremented by 1.**Additional Resources:**- **Need Help?** - **Read It:** Provides textual explanations or additional readings. - **Watch It:** Offers video explanations or visual guides.Continue using Newton's Method with the starting estimate \( x = -8 \) until the desired precision is achieved.

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Apply Newton's Method to approximate the x-value(s) of the indicated point(s) of intersection of the two graphs. Continue the process until two successive approximations differ by less than 0.001. [Hint: Let h(x) = f(x) - g(x).] x = -8 f(x) = 2x + 2 g(x)=√x + 8 Need Help? -1.0 -0.5 Read It Watch It 0.5 1.0 1.5 X 2.0

Apply Newton's Method to approximate the x-value(s) of the indicated point(s) of intersection of the two graphs. Continue the process until two successive approximations differ by less than 0.001. [Hint: Let h(x) = f(x) - g(x).] x = -8 f(x) = 2x + 2 g(x)=√x + 8 Need Help? -1.0 -0.5 Read It Watch It 0.5 1.0 1.5 X 2.0

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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