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a) What is the period of the function and the y(t) over that period (change 3 cm to meters) b) Is the problem odd...
A function is defined over (0,6) by 0 <and I <3 f(1) = - { 3<;...
A function is defined over (0,6) by 0 <and I <3 f(1) = - { 3<; and <6 We then extend it to an odd periodic function of period 12 and its graph is displayed below. N y 1 0 -10 5 5 10 15 X The function may be approximated by the Fourier series f (t) = a0 + 1 (an cos (021 ) + bn sin ( 122 )), where L is the half-period of the function. Use...
A periodic function ft) of period T-2 is defined as ft)-2t over the period (a) Sketch...
A periodic function ft) of period T-2 is defined as ft)-2t over the period (a) Sketch the function over the interval -3m<<3x. [3] (b) Find the cireular frequency a and the symmetry of the function (odd, even or neither). 21 (e) Determine the trigonometric Fourier coefficients for the function f) [10] (d) Write down its Fourier series for n=0, 1, 2, 3 where n is the harmonic number. [5] (e) Determine the Fourier series for the function g(t)-2r-1 over the...
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of fu...
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function, T and frequency, (2TT)/T (b) Calculate the Fourier Coefficients Ao. An, and Bn of the Fourier series expansion of function, y-f(x). Here n 1, 2, 3,... (integers) (c) Write the Fourier series approximation of function, yf(x), in terms of numbers, n & x only
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function,...
You are given a finite step function xt=-1 0<t<4 1 4<t<8. Hand calculate the FS coefficients of...
You are given a finite step function xt=-1 0<t<4 1 4<t<8. Hand calculate the FS coefficients of x(t) by assuming half- range expansion, for each case below. Modify the code below to approximate x(t) by cosine series only (This is even-half range expansion). Modify the below code and plot the approximation showing its steps changing by included number of FS terms in the approximation. Modify the code below to approximate x(t) by sine series only (This is odd-half range expansion).. Modify...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fund...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
[16 marks] Provide concise answers and brief justification and reasoning (a) Determine the period of the function f(t)...
[16 marks] Provide concise answers and brief justification and reasoning (a) Determine the period of the function f(t) = n+|cos(t)(3+)sin(3tt) (b) Consider the 4-periodic function g(t) that is defined as g(t)=-(x-1)2+1 for te (0,2. Does an approximation of this function by a Fourier series converge faster for the odd or the even extension. (c) Consider the function h(t) cos2(t)+sin2 (t). Are the coefficients by of the Fourier series of this function equal to 0 for all n? (d) Consider the...
Y-0 cm y 60 cm 30 cm B 10 T 10 Ω 10 cm. . v 10 m/s z out of page y A rectangular wire loop is car...
y-0 cm y 60 cm 30 cm B 10 T 10 Ω 10 cm. . v 10 m/s z out of page y A rectangular wire loop is carried in the y-direction at a constant speed of 10 m/s. The loop has a total loop resistance of 10 Ω and is lying in the x-y plane. It is 30 cm long and 10 cm wide. A region of constant and uniform magnetic field of magnitude 10 T pointing in the...
3.) The wave function for a harmonic wave on a string is y(x,t) (0.001 m)sin[(62.8 m1)x...
3.) The wave function for a harmonic wave on a string is y(x,t) (0.001 m)sin[(62.8 m1)x (314 s1)t] (a.) What is the speed of the wave, and which direction does it travel? (b.) What is the wavelength? (c.) What is the frequency? (d.) What is the period? (e.) Suppose a piece of the string is clamped (held fixed) at two points 1.4 m apart. What are the longest three wavelengths of standing waves that can exist between the two points?...
2) Find the area of the region enclosed by each group of equations. a) y x, y sin x, b) y x2-2x, y= x+ 4 x 3) A part...
2) Find the area of the region enclosed by each group of equations. a) y x, y sin x, b) y x2-2x, y= x+ 4 x 3) A particle moves along a straight line with a velocity of 5 cm/s and then accelerates at a rate of a(t) t2+2. What is its displacement after 5 seconds of acceleration (acceleration is in cm/s2) 4) A cylindrical can (radius 10 millimeters) is used to measure rainfall in Stormville. The can is initially...
What an Executive Summary Is An executive summary is a specific type of document that does...
What an Executive Summary Is
An executive summary is a specific type of document that does
two things: it summarizes a research article, and it offers
recommendations as to how information from the article can be
used.
Some long reports can contain an executive summary section, as
indicated in the Pearson handbook.
Write a 2 pahe Executive Summary
In business contexts, an executive summary is always written
for a specific purpose: to explain the information in the article
to a...
A function is defined over (0,6) by 0 <and I <3 f(1) = - { 3<; and <6 We then extend it to an odd periodic function of period 12 and its graph is displayed below. N y 1 0 -10 5 5 10 15 X The function may be approximated by the Fourier series f (t) = a0 + 1 (an cos (021 ) + bn sin ( 122 )), where L is the half-period of the function. Use...
A periodic function ft) of period T-2 is defined as ft)-2t over the period (a) Sketch the function over the interval -3m<<3x. [3] (b) Find the cireular frequency a and the symmetry of the function (odd, even or neither). 21 (e) Determine the trigonometric Fourier coefficients for the function f) [10] (d) Write down its Fourier series for n=0, 1, 2, 3 where n is the harmonic number. [5] (e) Determine the Fourier series for the function g(t)-2r-1 over the...
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function, T and frequency, (2TT)/T (b) Calculate the Fourier Coefficients Ao. An, and Bn of the Fourier series expansion of function, y-f(x). Here n 1, 2, 3,... (integers) (c) Write the Fourier series approximation of function, yf(x), in terms of numbers, n & x only
Q#4: (24 points) Given the function y-f(x) shown below: na f(r) -3 (a) Calculate the period of function,...
Problem (3) a) A periodic square wave signal x(t) is shown below, it is required to answer the below questions: x(t) 1. What is the period and the duration of such a signal? 2. Determine the fundamental frequency. 3. Calculate the Trigonometric Fourier Series and sketch the amplitude spectrum and phase spectrum of the signal x(t) for the first 5 harmonics. b) Find the Continuous Time Fourier Series (CTFS) and Continuous Time Fourier Transform (CTFT) of the following periodic signals...
[16 marks] Provide concise answers and brief justification and reasoning (a) Determine the period of the function f(t) = n+|cos(t)(3+)sin(3tt) (b) Consider the 4-periodic function g(t) that is defined as g(t)=-(x-1)2+1 for te (0,2. Does an approximation of this function by a Fourier series converge faster for the odd or the even extension. (c) Consider the function h(t) cos2(t)+sin2 (t). Are the coefficients by of the Fourier series of this function equal to 0 for all n? (d) Consider the...
y-0 cm y 60 cm 30 cm B 10 T 10 Ω 10 cm. . v 10 m/s z out of page y A rectangular wire loop is carried in the y-direction at a constant speed of 10 m/s. The loop has a total loop resistance of 10 Ω and is lying in the x-y plane. It is 30 cm long and 10 cm wide. A region of constant and uniform magnetic field of magnitude 10 T pointing in the...
3.) The wave function for a harmonic wave on a string is y(x,t) (0.001 m)sin[(62.8 m1)x (314 s1)t] (a.) What is the speed of the wave, and which direction does it travel? (b.) What is the wavelength? (c.) What is the frequency? (d.) What is the period? (e.) Suppose a piece of the string is clamped (held fixed) at two points 1.4 m apart. What are the longest three wavelengths of standing waves that can exist between the two points?...
2) Find the area of the region enclosed by each group of equations. a) y x, y sin x, b) y x2-2x, y= x+ 4 x 3) A particle moves along a straight line with a velocity of 5 cm/s and then accelerates at a rate of a(t) t2+2. What is its displacement after 5 seconds of acceleration (acceleration is in cm/s2) 4) A cylindrical can (radius 10 millimeters) is used to measure rainfall in Stormville. The can is initially...
What an Executive Summary Is
An executive summary is a specific type of document that does
two things: it summarizes a research article, and it offers
recommendations as to how information from the article can be
used.
Some long reports can contain an executive summary section, as
indicated in the Pearson handbook.
Write a 2 pahe Executive Summary
In business contexts, an executive summary is always written
for a specific purpose: to explain the information in the article
to a...
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