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Problem 1. Use Matlab to answer the following system of linear equations:
2x + y + 3z = 1 2x + 6y + 8z = 3 6x + 8y + 18z = 5
Problem 2. Create a vector representing x coordinates of a measurement with 20 points between 0 and 10. Create another vector y representing fake measurements which are related to the above x values as y = 2.3 x - 1.2. Next add random (normal, Gaussian) noise to the vector y. Plot on the same graph both versions of vector y in different colors. Next use attached linregr.m function to find a least square fit (linear regression) for your fake experimental data.
Problem 3. Create a three dimensional diagram of function z = (x-2)2 + (y-3)3.
Write a MATLAB function [speed] = planetary (N, emesh, first, last, arm) that computes the speed of a given link in a single-stage planetary gear train.
In a shell-and-tube heat exchanger, one fluid passes through a central tube while another fluid flows through an outer shell in the opposite direction. The purpose is to heat the fluid passing through the central tube.
Write a Matlab function to perform numerical integration of a set of evenly spaced data points using the trapezoidal rule
Develop a simulation program
Create the graph, which contains a piecewise function where a line exists in the first interval, a parabola in the second interval, and the sine function in the third interval.
Write a program to calculate and plot the error in the numerical estimate of the derivative.
Use the finite difference method to calculate the temperature at the point specified since it is easier.
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