What can I use to approximate a function at one point?
How does your calculator find roots?
Graph y = x2 – 4 in your calculator Find the zero(s)
What does the calculator ask?
Why? (Think Calculus)
What happens if you make the left bound and right bound the same?
Why?
Why does the Calculator ask for a guess?
March 23, 2017
Newton's Method Completed 2017.notebook
March 23, 2017
Write the linearization of f(x) @ x = a.
What is easier to find a root of than a curve?
How do we create that?
How would you find the root of what you created above?
When will this root be closer to the root of our desired curve?
Could we repeat this process with the new root as our center of approximation?
How would we know when to stop this process?
Newton's Method Completed 2017.notebook
March 23, 2017
Write the equation of the tangent line for f(x) at xn
Find the root of this line.
Would there be a situation when you could not find the equation of the tangent line?
How could I fix this?
Newton's Method Completed 2017.notebook
March 23, 2017
Newton's Method Completed 2017.notebook
March 23, 2017
Newton's Method Completed 2017.notebook
March 23, 2017
Newton's Method Completed 2017.notebook
March 23, 2017
Newton's Method Completed 2017.notebook
March 23, 2017
Newton's Method Completed 2017.notebook
March 23, 2017
Steps for Newton’s Method 1. Make a guess where the root exists x1 2. Find the equation of the tangent line at x1. Let x1 be the center of our approximation. This is Linearization we are approximating a function with its tangent line. 3. Find the root of the tangent line (plug in 0 for y and solve). 4. Use that new root as our guess (the center of our approximation)and calculate the equation of the tangent line at the new root. 5. Repeat this process until approximation is within a particular tolerance of the actual root. |xn xn+1| 6. xn+1 is the approximation of the root
Newton's Method
Newton's Method won't work if f '(xn) = 0 Fix this problem by making a different guess. Newton's Method may not converge. Fix this problem by making a different guess.
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Page 2 of 3. Page 3 of 3. Newtons 3rd Intro.pdf. Newtons 3rd Intro.pdf. Open. Extract. Open with. Sign In. Main menu. Displaying Newtons 3rd Intro.pdf. Page 1 of ...
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1000units video brochure for the Nigeria. Custom Service. Product Specification. Product Design & Customization. Unit Testing. Project Management. Triune Built-Tech. Solutions. August 2014 Design and Development of Blubird - a retail. management plat
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Page 1 of 7. Newton's ThirdLaw. 'When you push on the edge o{ etable or desk with your hand, your palm. indents in a way that can only happen if something is ...
Ex. A force of 49 N causes a 7 m/s2. acceleration. Find the mass of the. object it was pulling. Variables: 49 N = F. 7 m/s2. = a. m = ? Equation: F = ma. Solve: Newton's 2nd Law tells us that when. you accelerate (stomp on the gas) or. decelerate qui
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a = acceleration m/s2 (metres per second squared). Unit Analysis: Inertial mass â the m used in the second law is correctly described as the inertial mass.
Address: Email Address: Emergency Contact Name (Local):. Telephone: âXâ which ... List any serious physical conditions and any environmental, animal, or food ...
... former President George Bush, Richard. Dreyfuss, Andrew Kreisberg, Eddie Berganza, Democratic state. legislature Steve Lebsock, Matthew Weiner, Louis C.K., Gary Goddard,. Jann Wenner, Roy Moore, Andre` Balazs, Democratic State Senator Dan. Schoen
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1. Who? - Perseus Jackson, 12, Manhattan in New York ... Long Island, New York. 5. ... Underwood, 27, were fleeing the family cottage in Montauk in Long Island.
d) Calculate how hard the boy would have to push on the handle to give the mower an acceleration of 0.80 m/s2 . (1.1 x 102 N ). 6) There you are standing on a train which begins to accelerate away from Platform 7 5/8 at 4.50 m/s2 . If you have a mass
