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In the manufacturing of ball bearings, the components, such as the ball, are hardened through a process of heating and then rapid cooling or "quenching" by submersion in an oil or water bath. The temperature of the ball as a function of time, T(t), in the bath may be estimated as:
T(t) = (T; - ToJe-tlt + T~
where t is the time in seconds in the bath; T; is the initial ball temperature; T~ is the oil temperature; and t is the time constant in seconds and depends upon the material of the ball, the geometry of the ball, and oil properties. Write a MATLAB function that utilizes T;; T~; t ; and three separate times, t, as input arguments and returns the ball temperature for the three times as a one-dimensional array.
Assuming an initial ball temperature of 1000°C, an oil temperature of 60°C, and the time contant t = 60 s, determine the ball temperature for times of 1, l O, and 100 seconds.
Write a Matlab function that computes y1= tan(x) and y2= sin(x)/cos(x), returns the difference |y1–y2| and prints a message whether the two are equal or not. Test your function for
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Output Statements: disp and fprintf: The Output statements display strings and the answers of expressions and can permit for formatting or customizing how they are exhibited.
Grid function: grid shows grid lines on the graph. Called by itself, it is a toggle which turns the grid lines on & off. Alternatively, the commands grid on & grid off can
A filter described by the equation: y(n) = x(n) + x(n-1) + 0.9 y(n-1) - 0.81 y(n-2) (a) Find the transfer function H(z) for the filter and find the poles and zeros of the fil
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For a statistically stationary environment it would be advantageous to use gear shifting, that is to reduce the adaptation gain with time. To illustrate this, try using a varying a
Reading from a File: A file has been once created; it can be read into a matrix variable. When the file is a data file, the load function will read from the file filename.ext
Illustration of Modifying Elements: Illustration, the fifth element in the vector newvec is 9 >> newvec(5) ans = 9 The subset of a vector, that would be a vector it
Answers should be submitted in an MS Word document. Simulations should accompany answers in a separate MATLAB file. 1) Queuing Simulator: Consider a communications router that
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