Discuss the requirement for numerical approximation of various equation solutions.
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Discuss the requirement for numerical approximation of various equation solutions.
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- Numerical analysis problem Find (by hand and calculator) the least squares fit and RMSE error for the periodic modelsGiven the following system of equations, create a code in Matlab (or other software) using the Gauss-Seidel method to solve with 10 iterations. Make a graph of solutions vs number of iterations and estimate from what iteration begins to converge to the solution.Computer Graphic Problem : (answer should within 50 words)Why are homogeneous coordinates introduced in transformation?
- Suppose that a parachutist with linear drag (m=50 kg, c=12.5kg/s) jumps from an airplane flying at an altitude of a kilometer with a horizontal velocity of 220 m/s relative to the ground. a) Write a system of four differential equations for x,y,vx=dx/dt and vy=dy/dt. b) If theinitial horizontal position is defined as x=0, use Euler’s methods with t=0.4 s to compute the jumper’s position over the first 40 s. c) Develop plots of y versus t and y versus x. Use the plot to graphically estimate when and where the jumper would hit the ground if the chute failed to open.Give an application and give an example with solution of linear equation to the course of computer science.Gaussian Elimination method for a linear equation system to be entered by the user (Using with MATLAB)
- 2. The flight of a model rocket can be modeled as follows. During the first 0.15 s the rocket is propelled upward by the rocket engine with a force of 16 N. The rocket then flies up while slowing down under the force of gravity. After it reaches the apex, the rocket starts to fall back down. When its downward velocity reaches 20 m/s, a parachute opens (assumed to open instantly), and the rocket continues to drop at a constant speed of 20 m/s until it hits the ground. Write a program that calculates and plots the speed and altitude of the rocket as a function of time during the flight.Please answer a. and b.1. For each sequence given below, find a closed formula an for the nth term of the sequence (assume the first terms are ao) by relating it to another sequence for which you already know the formula. (a) 4, 5, 7, 11, 19, 35, ... (b) 0, 3, 8, 15, 24, 35, … . . (c) 6, 12, 20, 30, 42, ... (d) 0, 2, 7, 15, 26, 40, 57, ... (Hint: These might be called "house" numbers, as in "house of cards")