Find the root of the given function using Secant Method * f(x) = e-*(x² + x – 1) First name starts with A-J (use interval [-2, -1]
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![Find the root of the given function
using Secant Method *
f(x) = e-**(x² + x – 1)
%3D
First name starts with
A-J (use interval [-2, -1]
K-Z use interval [0, 1]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4036c640-53d5-4b6b-be32-f73b99b5c152%2Fe53816d0-8cb6-401b-95ed-f402dd6ee496%2Fdm0mlz5_processed.jpeg&w=3840&q=75)
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- Determine dimension x to 3 decimal places.Find a root of the function f(x) = 2x – sec(x-3) + 1 near x = 4.5 using any open method (3 decimal places, minimum of 6 iterations)Consider the function ƒ(x) = x3. Where is the critical pointof ƒ? Does ƒ have a local maximum or minimum at the critical point?
- A rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given that the available materials for the fence are good for 24m, what dimensions will produce a maximum area for the fence? What is the equation that will give us the function's critical point/sA rectangular fence is to be constructed with one of its face adjacent to an existing wall. Given that the available materials for the fence are good for 24m, what dimensions will produce a maximum area for the fence? What is/are the function's critical point/sObtain the general and particular solution satisfying initial condition indicated using homogenous function
- Explain how successive over relation is obtained from the Gauss-Seidel method.Find the all critical points (including endpoints) and then find the absolute maximum and absoluteminimum of x-cos (2x) on [0, pi] and state where these valus occurFind the fourth iteration value in finding an extremum (maximum/minimum) value of f(x) = 5sin2x - 2x2 using Newton's Method with an initial guess value of x = 0.2. Round off your final answer to nine decimal places but do not round off on preliminary calculations.
- Find the critical points of the following function on the given interval. Identify the absolute maximum and absolute minimum values (if they exist). ƒ(x) = x3 ln x on (0, ∞)construct a suitable Liapunov function of the form ax2 + cy2, where a and c are to be determined. Then show that the critical point at the origin is of the indicated type. 2.dxdt=−x3+2y3,dydt=−2xy2; stable (at least)dxdt=−x3+2y3,dydt=−2xy2; stable at leastFind the root of the function f(x) = ln(x2) – 0.7 using bisection and false position methods. Use initial guesses of 0.5 and 2.0 with five iterations and five decimal places. Which method is more efficient in finding the root ? Why ?
