(a) Find the roots of the function, f(r) = r – - 1, analytically up to 3 decimal places. (b) and determine if they will converge to any roots or not. (Make sure that one of the g(x) that you construct converges to a root (s). Construct 2 fixed point functions g(r), such that f(r) = 0. Also find their converging rate, A, (c) above function again using fixed point iterations accurate up to 3 decimal places. Using zo = 60, and the fixed point function g(r) that converges to the root(s), find the root of the

Q: MTH 32 (16) Show that f is one-to-onc. Find (f-¹)'(a). Calculate f-¹. Find the domain and range for…

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

Q: 75 2. Let f(x) = 2+ 3x² on the interval 15z5 50. (a) Use the approximation formula to estimate the…

A: (a) The approximate derivative of the function is given by f'(1+h)≈f(1+h)-f(h)h, where 1≤h≤49 and is…

Q: 3. Consider the function +R where f(r)= log,(2-52). (a) Find the rule for f-. (b) State the range of…

A:

Q: The function f(x) = is decreasing for x > 0. Which of the following lines is tangent %3D to the…

A:

Q: 4. Using the first derivative test to find the location of the local maxima of the following…

A: Given function is  f(x)= x^3 -3x^2 -9x-1

Q: 2. In a study on the speed of muscle contractions in frogs under various loads it has been found…

A:

Q: Find an equation for the line tangent to the graph of 2x f(x) %3D x + 4 at the point (2,…

A: The standard form of the tangent helps to find the required equation. The standard form of the…

Q: Using the first deivative test to find the location of the local maxima of the following function…

A: Given: f(x) = x3-3x2-9x-1.

Q: 4) The population of frogs has been declining in North Dakota. At one lake, researchers found there…

A:

Q: f" (x) 0, nn +4 f' (n) = −n f' (n + 4) = n +1 f(n) = n f(n+4)=n+7

A: The given condtions are

Q: (a) f(xi), f(xi+1) and f(x+2) are three data points of f(x) and equally spaced at x with the step…

A:

Q: Match each function to the rule you would need to use to compute its derivative. Answers may be used…

A:

Q: Find the intervals on which the function is increasing or decreasing where f'(x) = 4x³ – 4x.

A:

Q: 1. Given the function f(x) = x³ - 3x² - 9x + 7, make a sign diagram for the first derivative and…

A:

Q: Q2) Derive the numerical differentiation formula 2fo - 5f-1+ 4f-2 - f-3 h2 f"(x) = Find the optimum…

A: According to the given information it is required to find the optimum step size that minimize the…

Q: A certain paper-cutting machine produces various sizes when increasing the length of a rectangular…

A:

Q: h(x) = In (a- 7) (r +3)

A:

Q: derivative for this question. I gave the easy function. a) Domain of f(x) is b) Find the…

A:

Q: We want to use the Richardson method to calculate the first order derivative antisymmetrically at…

A: We need atleast 2 points to calculate the Richardson second order derivative. The small parameter…

Q: Esc [3] Use a first derivative test with a well written conclusion to state the local min and max…

A:

Q: 1)-Define the following and give an example: Derivative function - Logarithm function

A: We need to define derivative and log function. As per Bartleby guidelines we can solve one question…