Activity 1. Given the function f (x) = 2x³ – 11.7x² + 17.7x – 5, find one root using the following methods below. Answers to be rounded six (6) decimal places b. Bisection Method with an initial estimate of x? = 4 and xº = 3 and criteria termination of |f(x*+1)l < 0.001. %3D %3D

Q: Find the critical numbers of the function f(x)=12x^5+75x^4-80x^3+2 and classify them using a graph.

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Q: use brent method (root-finding method) for the function f(x)=x^2-3

A: We will use basic knowledge of numerical analysis to answer this question.

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A: Given,

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Q: – (In x)" = 0 –1

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Q: Find all critical numbers for f(x) = ×^3 - 3x - 5 and determine if each is a local max, local min,…

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Q: given function using Bisection Method F(x)= x^4 + 5x^3 - 16x^2 - 2

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Q: F(x)%= x*-10x² +9

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Q: Let f() - 4x2- 19x, Determine the largest n for whichfe C.

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Q: If g(x) = √100 - x^2 , where - 10 ≤ x ≤ 0, find A) g^-1 (x) B) the domain and range of g^-1

A: g(x)=100-x2y=100-x2x=100-y2x2=100-y2y2=100-x2y=-100-x2 [here 0≤x≤10]g-1(x)=-100-x2 , 0≤x≤10

Polynomials

Try substituting 1. You will get 6 and not 0. Try other real values also. What About -2? Let us check.