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picture1_Mat186 Week 9


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File: Mat186 Week 9
November 13, 2019 MAT186 – Week 9 Justin Ko 1 Numerical Approximations 1.1 Approximating Values of a Function (Linear Approximations) Wecanapproximate the value of a function f(x) at points ...

icon picture PDF Filetype PDF | Posted on 30 Jan 2023 | 2 years ago

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...November mat week justin ko numerical approximations approximating values of a function linear wecanapproximate the value f x at points near using approximation is given by l for close to we have remark notice that simply tangent line example thelinearapproximationtothefunctionf xatx isgivenbyl blue and red lines are very roots newton s method let denote root number such can approximate gives sequence numbers get closer starting dened recursively n large xn warning may not if our initialization point chosen poorly fail local maximum or minimum page nd demonstrated in picture above from compute curve intercept which repeat dots on axis problems strategy b so easy problem find ln estimate solution plug into formula therefore particular an over this because concave down lies usually use intermediate theorem then start few iterations it g three solutions equation correct decimal places finding equivalent nding since continuous r termediate locations check intervals form after several attem...
								

							

						
	
												
				
					
					
					
			
					
				
				
		
	

	
		





	

	
				

						

						
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Posted on: 30 Jan 2023 | 2 years ago
										
										
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