Use Newton's method to approximate the indicated root of the equation correct to six decimal places?
in the interval [1,2] what is the root of #x^4 − 2x^3 + 3x^2 − 3 #
in the interval [1,2] what is the root of
Let First let us look at the graphs: We can see there is one solution in the interval We can find the solution numerically, using Newton-Rhapson method The Newton-Rhapson method uses the following iterative sequence Then using excel working to 8dp we can tabulate the iterations as follows:
We could equally use a modern scientific graphing calculator as most new calculators have an " Ans " button that allows the last calculated result to be used as the input of an iterated expression. And we conclude that the solution is
graph{x^4-2x^3+3x^2-3 [-5, 5, -15, 15]}
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Sure, please provide the equation and the initial guess for the root.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
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