For each of the waveforms in Problems 13.1 through 13.10:
(a) Determine if the waveform has dc, even, or odd symmetry.
(b) Obtain its cosine/sine Fourier series representation.
(c) Convert the representation to amplitude/phase format and plot the line spectra for the first five nonzero terms.
(d) Use MATLAB software to plot the waveform using a truncated Fourier series representation with nmax =100.

13.1 Waveform in Fig. P13.1 with A = 10.

For each of the periodic signals shown in Fig. P6.1-1, find the compact trigonometric Fourier series and sketch the amplitude and phase spectra. If either the sine or cosine terms are absent in the Fourier series, explain why.
6.1-1 For each of the periodic signals shown in Fig. P6.1-1, find the compact trigonometric Fourier series and sketch the amplitude and phase spectra. If either the sine or cosine terms are absent in the Fourier series, explain why. -π/4 π/4
Homework 4 For Problems 1- 4: (a) Obtain the Trigonometric, Exponential, and Cosine Fourier series representations (b) Plot the magnitude and phase spectra for k=-10 to 10 terms (c) Plot using MATLAB or Python the approximation using the DC and first 100 terms in the cosine approximation Problem 1-Use A=4 ΑΛΛΑ t(s) -8 -6 -4 -2 O 2 4 6 8
Please solve for part (b) and
(c) thank you!
1. Consider the function f(x) = e-x defined on the interval 0 < x < 1. (a) Give an odd and an even extension of this function onto the interval -1 < x < 1. Your answer can be in the form of an expression, or as a clearly labelled graph. [2 marks] (b) Obtain the Fourier sine and cosine representation for the functions found above. Hint: use integration by parts....
Part I: Black Box A Design your first black box adhering to the following specifications A. Input Signal to Black Box A 1. A 1 kHz cosine wave with amplitude of 1V. B. Output Signal from Black Box A 1. A 1 kHz sine wave with amplitude of Hint: Use an ideal op-amp C. Explain your design process. What type of circuit did you design? Discuss D. Why did vou use an op-amp? Could another component be used instead? Why...