## Solution Library

#### Solve Trigonometric Functions Using MATLAB

Question Consider the function,                             Approximate the first derivative of f(x = 4) using the first order accurate forward difference, second-orde ... Read More

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#### Evaluate First Derivative of a Function Using MATLAB

Question Evaluate the first derivative of the following function,                                       &nbs ... Read More

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#### Solve ID Burgers Equation for given Conditions Using MATLAB

Question Consider the ID Burgers equation for the unknown u = u (x, t),                                      &nbs ... Read More

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#### Create Subplots and Titles Using String Manipulation in MATLAB

Question Create and title four subplots. Create the titles using string manipulation. Make it so you can change the number of A values there are, ie, if A had three numbers in it, you’d get 3 subplots. Define the following function: (A, t) = A t2. Set A to be the following: A = [2 4 7 9]; ... Read More

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#### Create and Plot a Matrix that has Values Using MATLAB

Question Create a 5x50 matrix that has the t values and the four y values for the given plots. Write that matrix out to a file. Write out the A matrix as well. Make the size of m depend on the size of A and t – ie, if A had three numbers in it, and t 60 you’d write out a 4x60 matrix. D ... Read More

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#### Create Separate Files for a given Matrix Values Using MATLAB

Question Read in your matrix m, then write m out in four separate files, with each filename having the value of A that was used to create that data. Each file consists of a 2x50 matrix, with the first row being the t values, the second row the corresponding y values for func evaluated with that A v ... Read More

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#### MATLAB Function that Takes in One Parameter and Outputs Three Coordinates

Question Make a pretty 3D curve. Write a function (as a function file) that takes in one parameter, t, and outputs three coordinates, x,y,z. Feel free to start with the spiral3D curve from lecture  Summary This question belongs to MATLAB software and discusses about to create 3D curve and t ... Read More

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#### Create a Surface Height Field Over a Plane Using MATLAB

Question Make a pretty surface (height field over a plane) in the form z = f(s,t). Summary This question belongs to MATLAB software and discusses about to make pretty surface (height field over a plane) in the form z = f(s,t). Answer is in MATLAB format   ... Read More

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#### MATLAB Code that Computes Numerical Approximations of an Integral

Question Write a MATLAB code that computes the following approximations to the integral  dx Left Riemann sums approximation. Riemann sums for midpoint rule. The trapezoid rule Simpson approximation  Inputs: the function to integrate, the integration interval and the number of sub ... Read More

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#### MATLAB Code that Computes an Approximation to an Integral by Romberg Integration Rule

Question Write a MATLAB code that computes an approximation to the integral  dx  by the Romberg integration rule. Inputs: the function to integrate, the integration interval and the value if n. Outputs: the value of the estimation. Summary This question belongs to MATLAB software and ... Read More

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#### MATLAB Code to Compute Approximations to an Integral and to Construct Estimations Table

Question Use the code to compute approximations to the integral  Construct a table (or a matrix) where the columns correspond to the four estimations and the rows correspond to the number n of subintervals. Use n = 10, 20, 40, 100, 500 and 1000. Comment on the errors? Are they what you expe ... Read More