QUESTION 1: The mathematical equation that describes a cosine wave as a function of time (t) is given below, where A is the amplitude of the sine wave, fn is the frequency in Hz, is the phase shift of the sine wave in radians: a) y₁ = Acos(27ft-) If = 40, and A = 10, plot the above sinusoidal function for 1 ≤t≤ 2, with different frequencies: fi = 1Hz, f2 = 2Hz. Plot the two functions on the same graph with "red dotted line" represents the function with 1Hz, and "black solid line" represents the function with 2Hz. Use a time step of 0.001. Label all the axes, include gridlines and provide a legend in your plot. b) A linear combination of sinusoidal waveforms is given below: v,(t)= A, sin(27f₁t − q ) + A₂ cos(27f₂t − ₂) Plot v(t) for 0 ≤ t ≤, with A₁ = 5, A₂ = -5, fi = 1Hz, f2 = 3Hz, 1 = 45°, 2 = 75°. Use a time step of 0.001. Label all the axes and includes gridlines in your plot. (Hint: type "help plot" in the Command Window, scroll down and choose the correct function under "see also")

QUESTION 1: The mathematical equation that describes a cosine wave as a function of time (t) is given below, where A is the amplitude of the sine wave, fn is the frequency in Hz, is the phase shift of the sine wave in radians: a) y₁ = Acos(27ft-) If = 40, and A = 10, plot the above sinusoidal function for 1 ≤t≤ 2, with different frequencies: fi = 1Hz, f2 = 2Hz. Plot the two functions on the same graph with "red dotted line" represents the function with 1Hz, and "black solid line" represents the function with 2Hz. Use a time step of 0.001. Label all the axes, include gridlines and provide a legend in your plot. b) A linear combination of sinusoidal waveforms is given below: v,(t)= A, sin(27f₁t − q ) + A₂ cos(27f₂t − ₂) Plot v(t) for 0 ≤ t ≤, with A₁ = 5, A₂ = -5, fi = 1Hz, f2 = 3Hz, 1 = 45°, 2 = 75°. Use a time step of 0.001. Label all the axes and includes gridlines in your plot. (Hint: type "help plot" in the Command Window, scroll down and choose the correct function under "see also")

C++ for Engineers and Scientists

4th Edition

ISBN:9781133187844

Author:Bronson, Gary J.

Publisher:Bronson, Gary J.

Chapter7: Arrays

Section7.5: Case Studies

Problem 15E

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