all the steps above are perfectly ok but I still have a question. For this step, why this is the sign of infinitely differentiable?

Q: B) Estimate the next root of the function f(x)=x^3-x-1 using Muller method, let x0=1, x1=2, x2=1.5

A: Muller method: The Muller approach is applicable to any root-finding programme, but it is especially…

Q: I understand part A where g is not continuous, but I dont understand the differentiable part. Why is…

A: Given graph

Q: %3D

A:

Q: let                    x^2+1   if x is less than 1 f(x)=                   x+1        if x is…

A: Consider the given function fx=x2+1  if x<1x+1   if x≥1. The point is x = 1. Obtain the left hand…

Q: Q5 /-x, x < 0 3-x, 0≤x <3. (x - 3)², x ≥3 Determine where f is not continuous. Show all your work.…

A:

Q: How are the continuous extensions often found?

A:

Q: 3) Determine A and B that makes the function continuous as x approaches 0 and 1? y A x>1 x-B x<0

A: Given:           y=x2                  0≤x≤1A                   x&gt;1x-B             x&lt;0 Given…

Q: Use the definition to show that the function f (x) = 1/x^2 is continuous on the interval [c,…

A:

Q: J Express the interval in (a-R, atR)d 1 x_- alcR and

A:

Q: 66-68 Assume that all of the functions are twice differentiable and the second derivatives are never…

A:

Q: For all but two choices of a, the function (x) = x if xS a and x' ifx > a will be discontinuous at…

A:

Q: > If |f(x)dx=0, then f(x) =0 over the interval 0<x<1. This statement is

A: Explanation of the answer is as follows

Q: (3) If the functions f(x) and g(x) are continuous 0sxS1, then f(x)/ g(x) is continuous on the…

A:

Q: f(x) = x-a, x 1

A:

Q: using Contiaiui the Continuity af the function: at the Conditions of 2 Yょ? 12

A: Introduction: To be continuous at a point, a function must be defined there. Its limit must exist…

Q: Show that Jx² + 2, x 1 is continuous but not differentiable at x = 1. Sketch the graph of f.

A: fx=x2+2,x≤1x+2,x&gt;1

Q: Which of the following choices correctly discusses the continuity of the following function? F(x)=…

A: Given :  F(x) = x+3x2-9   To determine : The continuity of  a function.

Q: What is the smallest number that can be represented as the sum of four positive squares (not…

A: Consider the given statement. Since we need to find a number, which is the smallest number of sum of…

Q: Suppose f and g are differentiable functions on R such that,

A:

Q: УА 1+ -1 0 O 1 Based on the graph shown, which of the following statements is true? O a. The…

A:

Q: Determine the largest domain of f(r) = 2- sin(77) Is f injective? Explain your answer. 2.

A:

Q: 1. The function(x)=x-1 has a discontinuity, say where and justify the response. Classify the…

A: Given f(x)=x4-1x-1. to check the discontinuity of f(x).

Q: 2. Let f be continuous and differentiable everywhere. Suppose that f(-1) = f(1). Show that there are…

A: