Using python use the one and two-point Gaussian method to calculate the following integralCalculate the first three time steps ( and using the Forward Euler method, Mid-Point method and Heun’s method on the following 1st order differential equation using .
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Using python use the one and two-point Gaussian method to calculate the following integral
Calculate the first three time steps ( and using the Forward Euler method, Mid-Point method and Heun’s method on the following 1st order differential equation using .
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- (Conversion) An object’s polar moment of inertia, J, represents its resistance to twisting. For a cylinder, this moment of inertia is given by this formula: J=mr2/2+m( l 2 +3r 2 )/12misthecylindersmass( kg).listhecylinderslength(m).risthecylindersradius(m). Using this formula, determine the units for the cylinder’s polar moment of inertia.PROGRAM THIS CODE UING MATLABThe sigmoid function is close to 1, when z is 0(2) = 1+ et None of above A large negative number Oo A large positive number
- Find the value of φ(29), φ(32), φ(80), φ(100), φ(101), where φ() is the Euler’s Phi-FunctionConsider the system of linear equations X2 + 2x3 X4 -1 X1 X2 X3 -X1 X2 + X3 + 3.x4 1 - Xị + 2x2 X4 9 Use Matlab to find the LU decomposition of the coefficient matrix A and then solve the resulting triangular system using forward and backward substitutions programs. (You need to provide the codes)Using MATLAB Code a function that solves for one (1) root of a function using the newton-Raphson Method please make sure it works
- Q3 A: Simplify the following Boolean functions, using Karnaugh maps: F (xy, z) Σ (0,1,4,5)Using MATLAB Coding, determine the roots of the following function using matrix algebra involving the Newton-Raphson Method: f(x) = sin x in the proximity of x = 5 Note: You may or may not start with x = 5 as an initial guess Additionally, please give comments/guide on the process.The displacement of an oscillating spring can be described by x = A cos(wt) where x = displacement at time t, A = maximum displacement, w = angular frequency, which depends on the spring constant and the mass attached to the spring, and t = time. Find the displacement, x, with maximum displacement A of 4 cm, for times from 0 to 120 seconds with increments of 30 seconds, and angular frequencies from 0.4 to 0.6 radians/sec, with increments of 0.1 radians/sec. The displacement for all combinations of times and angular frequencies needs to be calculated. Use meshgrid. Display your results in a matrix with angular frequencies along the top row and times along the left column like so (you may put zero, 0, or NaN, in the upper left corner: