at the same rate for 20 days. After repeating computations similar to theones done in a. and b., would you consider the differential approximationof the oil spill surface area after 20 days still acceptable? Why or whynot?3. In this problem f(x) =1COS T1+xa. Graph f(x) in the window [0,6 x -1, 1.5.b. Write an equation showing how x,n, an approximation for a root off(z)0, is changed to an improved approximation, Tn+1, using Newton'smethod. Your equation should use the specific function in this problem.c. Suppose IOExplain what happens to the sequence of approximations {xn as n gets large.You should use both numerical and graphical evidence to support your assertion.2. Compute the next two approximations r1 and r2d. Suppose IO = 4. Compute the next two approximations x1 and I2.Explain what happens to the sequence of approximations {xn} as n gets large.You should use both numerical and graphical evidence to support your assertion1
Question 3 part D
Image Transcriptionclose
at the same rate for 20 days. After repeating computations similar to the ones done in a. and b., would you consider the differential approximation of the oil spill surface area after 20 days still acceptable? Why or why not? 3. In this problem f(x) = 1 COS T 1+x a. Graph f(x) in the window [0,6 x -1, 1.5. b. Write an equation showing how x,n, an approximation for a root of f(z) 0, is changed to an improved approximation, Tn+1, using Newton's method. Your equation should use the specific function in this problem. c. Suppose IO Explain what happens to the sequence of approximations {xn as n gets large. You should use both numerical and graphical evidence to support your assertion. 2. Compute the next two approximations r1 and r2 d. Suppose IO = 4. Compute the next two approximations x1 and I2. Explain what happens to the sequence of approximations {xn} as n gets large. You should use both numerical and graphical evidence to support your assertion 1
To apply Newton's method for finding approximate root for f(x)=0 with initial approximation x0=4
Newton's algorithm yields better and better approxim...
Image Transcriptionclose
d)l)start with the approximate root x = 4 2)generate the sequence xn0 n+1 1 COS 71 1+x = x. -1 - sinx (1+x 3)x 5.07134 x, = 4.87767 (actual root4.883 1....)
Math
Advanced Math
Related Advanced Math Q&A
Find answers to questions asked by student like you
Show more Q&A addQ: Explain why the columns of an n x n matrix A span R^n when A is invertible
A: From the given information:
Q: An augmented matrix for a system of linear equations in x, y, and z is given. Find the solution of t...
A: According to the given information the augmented matrix for a system of linear equation is:
Q: See picture
A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and s...
Q: Use this in Exercises 16-21 to find a particular solution . Then find the general solution and, wher...
A: The given differential equation is
Q: Use vertices and asymptotes to graph the hyperbola. Find the equations of the asymptotes. 25x2 - 4y2...
A: Given:
Q: Solve the given differential equation by undetermined coefficients. y'' + 4y = cos2 (x)
A: Find the homogeneous solution of the given differential equation as follows.
Q: Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dim...
A: Consider the given function,Compute the derivative of given function,
Q: The following problem refers to a closed Leontief model Suppose the technology matrix for a closed m...
A: The technological equation for a closed Leontief model is given as follows.
Q: Use inverse matrices to solve the system of linear equations. 2y Зх + Зу 5x = 6 12 (х, у) 3D
A: To find the values of x and y satisfying the system using matrix inverse
