![P395 The symbol [x] [33, [2.1 2, [-4.5] = of period 1. Hint: Sketch the function. means the greatest integer less than or equ](http://img.homeworklib.com/images/cc765db2-0a7e-40d1-bf50-648809c21507.png?x-oss-process=image/resize,w_560)
Homework Answers
![The given funclim is fen) -x-u - fractional payt s)_1-5 - [1os] - S gCl.)1G-6) = 6 -1 fco)-0-101- g.9=1.9-3] = 1.3-1 f (0.) o](http://img.homeworklib.com/images/f26cdd03-2eac-4df1-9015-39a40e7509a4.png?x-oss-process=image/resize,w_560)
Add Answer to:
P395 The symbol [x] [33, [2.1 2, [-4.5] = of period 1. Hint: Sketch the function. means the greatest integer less th...
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...
[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selan...
[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selang Diberikan f(x) sebagai fungsi dengan tempoh 2t yang mana 0<x<2m Sketch a graph of f (x) in the interval of 0 <x< 4 (1 marks/markah) Demonstrate that the Fourier Series for f(x) in the interval 0<x< 2n is (ii) 1 2x+-sin 3x + 1 sin x + (6 marks/markah) Determine the half range cosine Fourier series expansion...
1. Consider the function defined by 1- x2, 0< |x| < 1, f(x) 0, and f(r) f(x+4) (a) Sketch the graph of f(x) on th...
1. Consider the function defined by 1- x2, 0< |x| < 1, f(x) 0, and f(r) f(x+4) (a) Sketch the graph of f(x) on the interval -6, 6] (b) Find the Fourier series representation of f(x). You must show how to evaluate any integrals that are needed 2. Consider the function 0 T/2, T/2, T/2 < T. f(x)= (a) Sketch the odd and even periodic extension of f(x) for -3r < x < 3m. (b) Find the Fourier cosine series...
1. Find the Fourier series for the following 1-periodic function f(t) = t, t < -- 2. Find the sum 24 3444 (Hint: Consider the Fourier series for the function f(t)-t2 on [- integer k.) 1) and f(t-k...
1. Find the Fourier series for the following 1-periodic function f(t) = t, t < -- 2. Find the sum 24 3444 (Hint: Consider the Fourier series for the function f(t)-t2 on [- integer k.) 1) and f(t-k)-f(t) for all
1. Find the Fourier series for the following 1-periodic function f(t) = t, t
5. (a) (6) Carefully sketch the odd periodic extension, of period 2m, of the function f(x)1, 0 < x < π. (Only sketch over the interval z E [-2π, 2π). (b) (10) Find the Fourier sine series o...
5. (a) (6) Carefully sketch the odd periodic extension, of period 2m, of the function f(x)1, 0 < x < π. (Only sketch over the interval z E [-2π, 2π). (b) (10) Find the Fourier sine series of the function in part (a)
5. (a) (6) Carefully sketch the odd periodic extension, of period 2m, of the function f(x)1, 0
Consider the function f(x) with period 4 which has f(x) = 1, -2<< -1, 0, -1<x<...
Consider the function f(x) with period 4 which has f(x) = 1, -2<< -1, 0, -1<x< 1, -1, 1<x< 2. a) Sketch the function f(x) in the interval (-2,2] b) Calculate the Fourier Series for f(x). Circle your answer. c) What values does the series converge at the points x=-1 and x=1. Circle your answer.
Question 2: (26 marks) 2.1 Find the The Laplace transform of the following function t, if...
Question 2: (26 marks) 2.1 Find the The Laplace transform of the following function t, if 03t<1 2t, if t1 [3] 2.2 Find the inverse Laplace transform of 10e 2 52 - 53 +632 - 25 + 5 (10] 2.3 Find y(4) if y(t) = u(t){t - 2)2 - us(t)/(t - 3) - 2) - us(t)e' (51 2.4 Solve the following initial value problem given by y" + 4y = 28.(t) (0)=1/(0) = 0 181 Question 3: (17 marks) Let...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1,...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1, 0s t s 2 is given as follows f(t) 2 -1 We proceed as follows to find the Fourier series representation of f (t) (Note:Jt2 cos at dt = 2t as at + (a--)sina:Jt2 sin at dt = 2t sin at + sin at. Г t2 sin at dt-tsi. )cos at.) Please scroll to the bottom of page for END of question a) The...
4. Consider the following partial information about a function f(x): S.x2, 0<x<I, (2-x), 1<x<2. Given that...
4. Consider the following partial information about a function f(x): S.x2, 0<x<I, (2-x), 1<x<2. Given that the function can be extended and modelled as a Fourier cosine-series: (a) Sketch this extended function in the interval that satisfies: x <4 (b) State the minimum period of this extended function. (C) The general Fourier series is defined as follows: [1 marks] [1 marks] F(x) = 4 + ] Ancos ("E") + ] B, sin("E") [1 marks] State the value of L. (d)...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2....
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
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...
[EUM 114 1. Let f(x) be a function of period 2 (a) over the interval 0<x<2 such that f(x) = - f(x)pada selang Diberikan f(x) sebagai fungsi dengan tempoh 2t yang mana 0<x<2m Sketch a graph of f (x) in the interval of 0 <x< 4 (1 marks/markah) Demonstrate that the Fourier Series for f(x) in the interval 0<x< 2n is (ii) 1 2x+-sin 3x + 1 sin x + (6 marks/markah) Determine the half range cosine Fourier series expansion...
1. Consider the function defined by 1- x2, 0< |x| < 1, f(x) 0, and f(r) f(x+4) (a) Sketch the graph of f(x) on the interval -6, 6] (b) Find the Fourier series representation of f(x). You must show how to evaluate any integrals that are needed 2. Consider the function 0 T/2, T/2, T/2 < T. f(x)= (a) Sketch the odd and even periodic extension of f(x) for -3r < x < 3m. (b) Find the Fourier cosine series...
1. Find the Fourier series for the following 1-periodic function f(t) = t, t < -- 2. Find the sum 24 3444 (Hint: Consider the Fourier series for the function f(t)-t2 on [- integer k.) 1) and f(t-k)-f(t) for all
1. Find the Fourier series for the following 1-periodic function f(t) = t, t
5. (a) (6) Carefully sketch the odd periodic extension, of period 2m, of the function f(x)1, 0 < x < π. (Only sketch over the interval z E [-2π, 2π). (b) (10) Find the Fourier sine series of the function in part (a)
5. (a) (6) Carefully sketch the odd periodic extension, of period 2m, of the function f(x)1, 0
Consider the function f(x) with period 4 which has f(x) = 1, -2<< -1, 0, -1<x< 1, -1, 1<x< 2. a) Sketch the function f(x) in the interval (-2,2] b) Calculate the Fourier Series for f(x). Circle your answer. c) What values does the series converge at the points x=-1 and x=1. Circle your answer.
Question 2: (26 marks) 2.1 Find the The Laplace transform of the following function t, if 03t<1 2t, if t1 [3] 2.2 Find the inverse Laplace transform of 10e 2 52 - 53 +632 - 25 + 5 (10] 2.3 Find y(4) if y(t) = u(t){t - 2)2 - us(t)/(t - 3) - 2) - us(t)e' (51 2.4 Solve the following initial value problem given by y" + 4y = 28.(t) (0)=1/(0) = 0 181 Question 3: (17 marks) Let...
The sketch of the following periodic function f (t) given in one period f(t) t2 -1, 0s t s 2 is given as follows f(t) 2 -1 We proceed as follows to find the Fourier series representation of f (t) (Note:Jt2 cos at dt = 2t as at + (a--)sina:Jt2 sin at dt = 2t sin at + sin at. Г t2 sin at dt-tsi. )cos at.) Please scroll to the bottom of page for END of question a) The...
4. Consider the following partial information about a function f(x): S.x2, 0<x<I, (2-x), 1<x<2. Given that the function can be extended and modelled as a Fourier cosine-series: (a) Sketch this extended function in the interval that satisfies: x <4 (b) State the minimum period of this extended function. (C) The general Fourier series is defined as follows: [1 marks] [1 marks] F(x) = 4 + ] Ancos ("E") + ] B, sin("E") [1 marks] State the value of L. (d)...
1. Using the Fourier series analysis Equation 3 for the periodic function r(t) shown in Figure 2.1, determine both the DC coefficient ao and a general expression for the other Fourier series coefficients ak. Do this by hand, not in Matlab. Show all your work in your lab report. You can add these pages as hand-written pages, rather than typing them in to your lab report, if you prefer Hint 1: It will be easiest to integrate this function from...
Most questions answered within 3 hours.
-
It is said that Galileo discovered a basic principle of the
pendulum—that the period is independent...
asked 1 minute from now -
The Cost of Equity and
Flotation Costs
Messman Manufacturing
will issue common stock to the public...
asked 5 minutes ago -
a) summarize the challenges facing New Britain today
b) identify some of its strengths
c) suggest...
asked 7 minutes ago -
**86 at 40 not 88. please show how got Tr in calculations thank
you
2) The...
asked 8 minutes ago -
McGlaun Company pays its employees every two weeks. The firm
last paid its employees on September...
asked 21 minutes ago -
You have been gifted a Mogwai as a pet and decide to do a little
online...
asked 26 minutes ago -
given the standard of 200 mg/dl and the absorbance of that
standard is 0.640. What is...
asked 29 minutes ago -
Exercise 8-51 Algo
An accounting professor is notorious for being stingy in giving
out good letter...
asked 37 minutes ago -
month
total distribution cost
level of activity (unit produced)
july
230.000
3500
august
250.000
3750
september...
asked 38 minutes ago -
A smoke detector system uses two devices, A and B. If smoke is
present, the probability...
asked 1 hour ago -
Your division head has assigned another important project to you
and your team. This project is...
asked 51 minutes ago -
Under normal use conditions, the Mean Time To Failure of a
heating coil can be modeled...
asked 1 hour ago