Our goal is to approximate the positive real number x that satisfies sin(x) = x³. We will apply Newton's method to the polynomial 3 f(x) = x³ = sin(x) - Among the following options, which one is the best choice for x₁? Select one: 100 a. b. -1 c. 0 d. 1 e. 10

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A: Since you have asked multiple question, we will solve the first question for you. If you want any…

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A: Given That : function f(x)=3x4-3x2 To Find : Using Newton's method find the zeroes of f(x) =3x4-3x2…

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A: ∫abfxdx ≈Δ x3fx0+4fx1+2fx2+4fx3+…+4fxn-2+fxn-1where Δ x = b-an, n is evenApply Simpson's…

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Q: Kindly

A: We compute required matrix.

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A: *By Bartleby policy I have to solve only first one as these are all unrelated problems.These are all…

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A: As per guidelines only first question is solved. For remaining question kindly repost the question…

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Q: Let the sequence hn = 2n³ + 3n + 1. Find a formula for k=0 hk.

A: ∑k=0nk=n(n+1)2∑k=0nk2=n(n+1)(2n+1)6∑k=0nk3=n(n+1)22

Q: please

A: We solve by two different method.

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