Give the first 5 values found using Newton's Method with the given function and initial value. f(1) = 1' - 3z2 + I + 3, Io = 1 I3= I5= Why does Newton's Method fail in finding the root? O The function has no roots O The derivative becomes 0 O The approximations will not converge More iterations are needed before the root can be found

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Q: 8. Find the function Sthat satisfies the given conditions. )S"(=) = sin r – e-2" with S"(0) = } and…

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Q: 9. Compute the derivative of the following functions: (a) (b) y = sin ( 70 9

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Q: - 1. Find the first derivative of the function S(x)=x² sec ) completely and simplify your answer.

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Q: у 3 sin (x? + 3x + 1) 1. 2. у%3D сos?(2х — 1) y = tan vx2 – 1 3.

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Q: e. f. f(x) = cot(-) X f(x) = sin(x³ - x)

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Q: 11) Let r = sin 0. dy (a) Find the derivative dr

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Q: 3. y = In ((x+2), (х-1)2

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Q: For the function f(x) = 5x° - 3x + 2x + 7x + 3, find f"(x), the third derivative of f, and f4) (x),…

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Q: Which of the following refers to backward - difference formula? Why? You can give your own example…

A: We need to compare with general formula of backward difference.

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Q: 21/ Find the derivatives for the following. y = (Inx) 5 a

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Q: An input-output curve of a 10 MW station is expressed as follows: |= 10°(10+8L+0.4L?) where / is in…

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