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Problem 1
The continuity equation in fluid dynamics for steady fluid flow through a stream tube equates the product of the density, velocity, and area at two points that have varying cross-sectional areas. For incompressible flow, the densities are constant so the equation is ??1??1 = ??2??2. If the areas and V1 are known, V2 can be found.
Write a script that will prompt the user for the two areas in square feet, and will print whether the velocity at the second point increases, decreases, or remains the same as the first point.
Problem 2
In fluid dynamics, the Reynolds number Re is a dimensionless number used to determine the nature of a fluid flow. For an internal flow (e.g., water flowing through a pipe), the flow can be categorized as follows:
Write a script that will prompt the user for the Reynolds number of a flow and will print the region the flow is in.
Fourier Transform and Biosignal Analysis - series data into its frequency components for the purpose of signal analysis and processing.
Design a normalized lowpass analog filter by using one of Matlab's routines: buttap, cheb1ap, cheb2ap, ellipap to get your analog poles
The function range basis takes a matrix A as input, and outputs a basis (again written as columns) for the range space of A.
Two arrays are considered to be equal when the result of one array subtracted from the other is an array of zeros. In the script file, create the MATLAB commands to prove the following relationships (use arrays that you makeup yourself)
Lagrange interpolating polynomial of degree
Write a programs in Matlab to demonstrate the effect of zero-padding and filtering the DC-component in the frequency domain.
1.) Write a program in matlab to illustrate the different format specifiers that can be used for obtaining formatted output.
Create a script file for conversion of temperatures. Use the input function or menu function to allow the user to enter temperature scale of Fahrenheit, Celsius, Kelvin, or Rankine. If you are using the input function, tell the user to enter F for Fa..
Write a program to calculate and plot the error in the numerical estimate of the derivative.
Create a three dimensional diagram of function.
Determine the volume of the pyramid. When the user enters every value, they will then be prompted also for either 'i' for inches, or 'c' for centimeters.
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