4. If the secant method is used on f(x) = x^5 +x^3 +3 and if x_(n-2) = 0 and x_(n-1) = 1, what is x_n?

Q: Estimate the root of following nonlinear equation x – 2x – 1 = 0 using Newton-Raphson method…

A: (a) The given equation is f(x)=x4-2x-1=0 find the derivative f'=4x3-2 initial guess x0=-1…

Q: I don't understand how the Wronskian method is being applied.

A: Wronskian is a method by which in a differential equation we check the solution of the differential…

Q: arctan(1 – x) + arctan(1 + x) arctan .8,

A: Iteration:- To solve an equation using iteration, start with an initial value and substitute this…

Q: What type of critical point is located at x =-6, if ƒ '(x) = (x – 2)(x + 6)?

A: This question is based on application of derivative.

Q: 9-x² dydx. 2

A: x = 0 r cos θ = 0 θ = π2 x = 322 r cos θ = 322 r = 322 sec θ   y = x r sin θ = r cos θ θ =…

Q: Find the local minima/maxima of -x + ln x if it exist

A: fx=-x+lnx Differentiating with respect to x, we get f'x=-1+1x Now to find critical values, solve the…

Q: Apply a sequential one-dimensional search technique to reduce the interval of uncertainty for the…

A: Use the golden section search to find the value of that function: f=6.64+1.2x-x2 which maximizes in…

Q: Classify the critical point (0,0) for for all - 0 <µ<0. 2 -

A: given system of matrix x'y'=022-μxy     for all -∞&lt;μ&lt;∞ claim- to classify the critical point…

Q: The derivative of the function f(x) = 25 x3 -6 x2 +7x- 88 at X = 3 using a step size of 0.5 and…

A: on solving we get

Q: We use the BISECTION METHOD to find the root of this nonlinear functional e = sin(x) +x². x' In(x)…

A:

Q: evaluate using the appropriate method or combination of methods.

A:

Q: Find the approximate root in 5th iterations of the function f (x) = x - 4x2 + x +3 in the interval…

A: given fx=x3-4x2+x+3 find the approximation in 5th iterations of the function in the interval -2,-1…

Q: 1. The first approximation of the root of xlogx - 1.2 = 0 in [2,3], by Regula Falsi method (False…

A:

Q: solve e^-x=lnx using bisection method.

A:

Q: Find the roots of an equation f(x)= x^3-x-1 using four iterations of bisection method. Compute also…

A: I am attaching image so that you understand each and every step.

Q: Obtain the ROOT of the f(x)=x²-2e-x+e-2x function using (a) Secant root finding method and (b)…

A: Given equation is fx=x2-2e-x+e-2x            (i) To find the root of the equation (i) using the…

Q: Q2// Find the optimal point from th nathematical model (by Big-M methods) xZ-150 x+110x)+280 x; x3…

A:

Q: Use a fixed-point iteration method to determine a solution accu- rate to within 10-3 for the…

A: Let f(x)=x3-x-1Here x3-x-1=0∴x3-x=1∴x(x2-1)=1∴x=1(x2-1)∴ϕ(x)=1(x2-1)Here f(1)=-1&lt;0 and…

Q: Find the critical numbers for function f(x)=x-3 ln(x)

A: Given function:  fx=x-3lnx

Q: 14. Estimate the area under y = 36-x² using 3 rectangles and the left endpoint method. y=M-2²…

A: Here we use the left endpoint method.

Q: A farmer wants to fence an area of 13.5 million square feet in a rectangular field and then divide…

A:

Q: (9-x) ₁/x = (x

A:

Q: Use Fixed-Point Iteration Method to obtain a real root of x^3-5x+1=0 with x₀=0 until absolute error

A: Solutions

Q: order

A: Given function is: fx,y=cos2xy2-3x2y3 Then we get,…

Q: Find the interpolating polynomial for the function f(x) = e through the points x = 0, 1, 2.…

A:

Q: How is the Chain Rule applied when finding dydx implicitly?

A: According to the question, we have to explain the chain rule when used in the implict function.…

Q: How do I find the critical numbers for the function f(x) = x2 – 4x + 2?

A:

Q: Calculate the root of the equation given as f(x) - x3 + 3x - 5 with the Regula-Falsi method in the…

A: Let  f(x)=x3+3x-5  with range [1,2] f(1)=1+3-5=-4f(2)=8+6-5=9 1st Iteration: Let a=1, b=2…

Q: Consider the function ƒ(x) = x3. Where is the critical pointof ƒ? Does ƒ have a local maximum or…

A: Given  ƒ(x) = x3

Q: 3. One of the methods used to eliminate arbitrary constant is by isolation of arbitrary constant and…

A: Here, to write the other method to find the arbitrary constant of the differential equation.

Q: I need to integrate 1/(sqrt(a^2+x^2)). If I let t=x+sqrt(x^2+a^2) where t&gt;0, then how do I…

A: The given integral is,

Q: Determine the critical numbers of the ff. functions.

A:

Q: If the length of an interval equals 1 what is the minimum number of iteration necessary to achieve…

A: Given: Length of the interval =1 Error=0.001

Q: The approximations obtained by Runge-Kutta method are more precise and accurate than those obtained…

A: The given statement is, The approximation obtained by Runga-Kutta method are more precise and…

Q: 3 11 lim *+3 9. x→2 2х - 4

A:

Q: Find local maximum or local minimum of f(x) = - sin 2x -x defined on 2'2

A:

Q: The stock price for a certain corporation can be approximated for the years 2007 through 2015 by…

A: At the point of local minima or Maxima the derivative vanishes.

Q: What is the maximum point of the function f (x) = x² - x on the o terval [-2,2]?

A:

Q: 1. f(x) = x² – 4x + 1 at point (0,1) 2. f(x) = x³ + 2 at point (1,3) 3. f(x) = 2x* + 3x³ – 2x + 7 at…

A: Given : The functions and the points.

Q: the rate at which the total average number of COVID cases is increasing at x = 10 tents and 4 = 1…

A: Given, Illustration: x=10 tentsdxdt=1 tent per day Let, a be the number of additional tents and y…

Q: (textbook, section 0.4, exercise 5) Evaluate the quantity V16x+- x² - 4x wherex = 8.0, correct to at…

A:

Q: Find a root of the function f(x) = 2x – sec(x-3) + 1 near x = 4.5 using any open method (3 decimal…

A: To find the root of the below function near x=4.5. fx=2x−secx−3+1

Q: function y= f(x) and f''(x) is + , what can we conclude regardin

A:

Q: What is the second iterative value of the root f(x) = x2 - 3.  with the initial bracket [1, 2] using…

A: To find- What is the second iterative value of the root fx = x2 - 3 with the initial bracket 1, 2…

Q: Find the solution to the equation 2x² - 4x + 1 = 0 using simpsons rule with an lower a and upper…

A: Given , f(x)=2x3-4x+1 we have to use Simpsons rule to find solution with lower limit is 1 and upper…

Q: This method start from an approximation to the true solution and, if successful, obtain better…

A: Please check step 2 for the solution.!

Q: The Area of a triangle with vertex (4, 3), (4, -3) and (7, -3) can be obtained through double…

A:

Q: eturns ABC XYZ 0.2515 -0.22 55 0.4322 -0.28 45 -0.14 33 0.3144 -0.0645 -0.51 14 0.33 78 0.5534 0.68…

A: Covariance and correlation are two important concepts in financial analysis.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: