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: c) Use Secant Method to find the root of f(x)= x -x-1 with two initial points x, = 1 and=1.5 and =…

A: Secant method Steps  Step-1: Find points x0 and x1 such that x0&lt;x1 and f(x0)⋅f(x1)&lt;0.…

Q: Find constants a and b in the function f(x) = axe“ such that fE) = 1 and the function has a local…

A: The given function is fx=axebx. It is given that f15=1. So, f15=a·15·eb·151=aeb55aeb5=5

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A: We can find the answer as below.

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Q: 1. Find the absolute extrema. 1) f(x) = 5 – x² on [-5,4]

A: fx=5-x2,  -5, 4 Differentiating with respect to x, we get f/x=0-2x=-2x Now to find critical numbers,…

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Q: 4/5elue f(X)= X'-2X- 5 Using Secant methed, Cerreet apto 2decimal elases.

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Q: Bisection method was used to determine a root for a function f(x), using initial interval (x1, xµ)…

A: Consider the given information. Let the Initial interval be (xl, xu) Then h=xl-xu Which is the…

Q: For the function y =f(x), it was found out that f(c) = 0. What can be said that x=c? O critical…

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Q: 4. Find the values of a and b so the function will have a relative extreme at (3, 1). y3D=x' +ax? +b

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Q: 1. Given f'(x) = –x² – 2x + 8, state on which intervals f (x) is increasing and decreasing. Identify…

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Q: b. Use the gradient ascent method to find the maximum of f(x) = 10x – e*. Show you hand calculations…

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Q: For the function y =f(x), it was found out that f"(c) = 0. What can be said that x=c? critical point…

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A: topic - functions

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Polynomials

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