3. Consider the following equation: d²y dx² =1.8x4+3x²-2 If y'(0) = 0 and y(0) = 1, show how to obtain y(-1) in MATLAB without using the symbolic toolbox.
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- Implement a Matlab function called newtons Method that uses Newton's method to solve f(x) = 0 given an initial guess To. The inputs to your function should include the initial guess To, a convergence tolerence €, and a maximum number of steps (since Newton's Method does not always converge), and can use the function f(x) and the Jacobian J(x). The output should include a flag indicating success or failure, the solution æ* that satisfies ||f(x*)|| ≤ e in the event of success, and the number of steps required for convergence. Test your function with € = 10-10 by finding the four solutions to the example from lecture 15, that is, to f(x) = 0 where € 50 4 3 in the set S = {(₁, ₂) € R² : -5 ≤ x ≤ 5, -5 ≤ x2 ≤ 5}. Use the following plot from Module 8 to obtain your initial guesses. 2 1 0 -1 -2 -3 -4 5 f(x) = -5 4 [f₁(x)] x² + x₁x²-9 [3x²x₂x² - 4 [f₂(x)] -3 • z}+z₂+x² -2 = -1 0 1 N +3₂ 3 4 5Write a MATLAB program that will generate a surface plot of the mass of a conic surface. Theconic surface is defined by ? = 2√?2 + ?2 for 0.5 ≤ z ≤ 4 and the mass is related to z by ? =6 − ? . The plot should have an appropriate title and axis labels.This problem is best solved using cylindrical polar coordinates (r, θ, z) rather than rectangularcoordinates (x, y, z) for the underlying grid. Use z and θ for creating the initial grid, a grid for rcan then be computed from the z and θ grids, grids for x and y can be computed from the r and θgrids, and m can be computed from z grid. Plot m versus and x and y for the surface plot.A repeating ground-track orbit has period of repetition is two orbits per day (ω⊕ = 7.2921151467 · 10−5 rad/s), has an eccentricity of 0.74, an inclination of 63.4349 deg, a right ascension of the ascending node of −86.915798 deg, and argument of perigee of 270 deg. What is the semi-major axis? In MATLAB, provide the following results using 100 points equally distributed in time over an orbital period with a starting position of true anomaly equal to 0 degrees: 3D representation of the orbit. Include the Earth (as a simple sphere) in the center of the plot for a size comparison. Make sure that the axis have the same scale.
- Chemical reaction rates are proportional to a rate constant, k, which changes with temperature according to the Arrhenius equation k=k0e-Q/RT For a certain reaction Q = 8,000 cal/mole R = 1.987 cal/mole K k 0 = 1200 min 1 k0=1200min-1 For this question you will need to draw a graph in Matlab for the values of k for temperatures from 100 K to 500 K, in 15-degree increments.Write a routine in MATLAB capable of computing the three components of the strain tensor, given the normal strains along three strain gauges. The gauges make angles ɑ1, d2, and 3 with the x-axis. Apply your routine to the case that the angles are 0°, 45°, and 90°, and the strains are .01, .006, and .005, respectively.using Matlab Write a program that solves a quadratic equation using the constitutional method Quadratic equation (Function M-file) (-b+ vb2 - 4ac b2 – 4ac > 0 2a -b b2 – 4ac = 0 2a If the value under the root is less than zero, print the expression (the root is complex)
- Write a MATLAB function computeCylinderVolume which should call computeCircleArea. computeCylinderVolume should take as parameters the height and the radius of a cylinder (in that order), and should return the cylinder’s volume. (If you do not recall the formula for a cylinder’s volume, find it on the Internet.)Write a MATLAB function sumOddInts(). sumOddInts should return the sum of all odd integers between the values provided to the two parameters, inclusive, e.g., sumOddInts(5,9) should return 21. start and finish do not have to be odd, e.g, sumOddInts(4,8) should return 12. start and finish do not have to be positive, e.g., sumOddInts(-5,7) should return 7, However, finish may be assumed to be greater or equal to start. whereas Python has a modulo operator "%", MATLAB has a built-in mod() function that returns the remainder. For instance, >> mod (13,5) ans = 3>> mod (13,2) ans = 1Write a highly efficient MATLAB code to execute the following steps. Your code should NOT include the following MATLAB functions or keywords: if, for, while. In other words, you will lose all points for this quiz if any of if, for, while appears in your code.
- Can you help me program this in MATLAB? These are the kepler orbital elements. Transformation from mean anomaly to true anomaly. Write a Matlab function in the form f = kepler(M,ecc) that is able to obtain the approximate value of the true anomaly (f) of an orbiting object around the Earth from the information of mean anomaly (M) and eccentricity (ecc) of the orbit.Question #1 Find an approximation to within 10 to a value in [0, 1] with Use Bisection method. f(x) = ex- x² + 3x - 2 = 0 For questions represented above, the below steps have to be considered 1. Find the root analytically. 3. Write a program in MATLAB to find the Root.I need help with this problem involving Boolean variables and I am absolutely lost on this problem since I never seen anything like it. If (f(w,x,y,z) = (x+yz) + (wx). What is f(1,0,0,0) There is a line over (x+yz), there is a line over letter z, and there is a line over letter w.