![4. [15 marks] Consider the function h(x) = cos(x) on x = [0,1]. (a) Sketch the even and odd periodic extensions of the functi](http://img.homeworklib.com/questions/525a0f10-8693-11eb-8e4b-0fedaaca54c5.png?x-oss-process=image/resize,w_560)
Homework Answers
Add Answer to:
4. [15 marks] Consider the function h(x) = cos(x) on x = [0,1]. (a) Sketch the...
x2 when x E [0,1]. 1. (Total marks 12) Suppose f(x) (a) Sketch the periodic odd...
x2 when x E [0,1]. 1. (Total marks 12) Suppose f(x) (a) Sketch the periodic odd extension of this function on the interval [-3,31. You do NOT need to indicate what happens at any discontinuities. (4 marks) (b) Sketch the periodic even extension of this function on the interval -3,31. You do NOT need to indicate what happens at any discontinuities (4 marks) (c) The following graph shows f (x) along with a partial sum of the sine series for...
Sketch the function with its (a) odd periodic extension and (b) even then find the Fourier...
Sketch the function with its (a) odd periodic extension and (b) even then find the Fourier Sine and Fourier Cosine series, respectively. periodic extension, 0< x < X f(x) = -< x< 2 2
Sketch the function with its (a) odd periodic extension and (b) even then find the Fourier Sine and Fourier Cosine series, respectively. periodic extension, 0
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...
2. [10]For the function, f(x), given on the interval 0 <x<L (a)[4] Sketch the graphs of...
2. [10]For the function, f(x), given on the interval 0 <x<L (a)[4] Sketch the graphs of the even extension g(x) and odd extension h(x) of the function of period 2L over three periods (b)[6] Find the Fourier cosine and sine series of f(x) f(x) = 3 - x, 0<x<3
3. Consider the function defined by f(x) = 1, 0 < r< a, | 0, a<...
3. Consider the function defined by f(x) = 1, 0 < r< a, | 0, a< x < T, where 0a < T (a) Sketch the odd and even periodic extension of f (x) on the interval -3n < x < 3« for aT/2 (b) Find the half-range Fourier sine series expansion of f(x) for arbitrary a. (e) To what value does the half-range Fourier sine series expansion converge at r a? [8 marks
3. Consider the function defined by...
Consider the function f (x) = cos x, 0 < x < π.
Consider the function f (x) = cos x, 0 < x < π. (a) Find the Fourier series of the periodic odd extension of f. (b) State the interval in which the series in (a) converges to f.
2.[10]For the function, f(x), given on the interval 0 < x <L (a)[4] Sketch the graphs...
2.[10]For the function, f(x), given on the interval 0 < x <L (a)[4] Sketch the graphs of the even extension g(x) and odd extension h(x) of the function of period 2L over three periods (b) [6] Find the Fourier cosine and sine series of f(x) f(x) = 3 - x 0<x<3
There are 3 questions on this assignment. The marks awarded for each part are indi- cated in boxes. 1. Consider the fun...
There are 3 questions on this assignment. The marks awarded for each part are indi- cated in boxes. 1. Consider the function defined by f(x) = 0 and f(x)-f(x +4) 1 (a) Sketch the graph of f(x) on the interval -6,6 (b) Find the Fourier series representation of f(z). You must show how to evaluate any integrals that are needed 2. Consider the function f(x) (a) Sketch the odd and even periodic extension of f(x) for-3< x < 3m (b)...
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 0<x<π/2. z, f(x) = (a) Sketch the odd and even periodic extension of f(x) for-3π 〈 x 〈 3π...
Consider the function 0<x<π/2. z, f(x) = (a) Sketch the odd and even periodic extension of f(x) for-3π 〈 x 〈 3π. (b) Find the Fourier cosine series of the even periodic extension of f(x)
Consider the function 0
x2 when x E [0,1]. 1. (Total marks 12) Suppose f(x) (a) Sketch the periodic odd extension of this function on the interval [-3,31. You do NOT need to indicate what happens at any discontinuities. (4 marks) (b) Sketch the periodic even extension of this function on the interval -3,31. You do NOT need to indicate what happens at any discontinuities (4 marks) (c) The following graph shows f (x) along with a partial sum of the sine series for...
Sketch the function with its (a) odd periodic extension and (b) even then find the Fourier Sine and Fourier Cosine series, respectively. periodic extension, 0< x < X f(x) = -< x< 2 2
Sketch the function with its (a) odd periodic extension and (b) even then find the Fourier Sine and Fourier Cosine series, respectively. periodic extension, 0
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...
2. [10]For the function, f(x), given on the interval 0 <x<L (a)[4] Sketch the graphs of the even extension g(x) and odd extension h(x) of the function of period 2L over three periods (b)[6] Find the Fourier cosine and sine series of f(x) f(x) = 3 - x, 0<x<3
3. Consider the function defined by f(x) = 1, 0 < r< a, | 0, a< x < T, where 0a < T (a) Sketch the odd and even periodic extension of f (x) on the interval -3n < x < 3« for aT/2 (b) Find the half-range Fourier sine series expansion of f(x) for arbitrary a. (e) To what value does the half-range Fourier sine series expansion converge at r a? [8 marks
3. Consider the function defined by...
2.[10]For the function, f(x), given on the interval 0 < x <L (a)[4] Sketch the graphs of the even extension g(x) and odd extension h(x) of the function of period 2L over three periods (b) [6] Find the Fourier cosine and sine series of f(x) f(x) = 3 - x 0<x<3
There are 3 questions on this assignment. The marks awarded for each part are indi- cated in boxes. 1. Consider the function defined by f(x) = 0 and f(x)-f(x +4) 1 (a) Sketch the graph of f(x) on the interval -6,6 (b) Find the Fourier series representation of f(z). You must show how to evaluate any integrals that are needed 2. Consider the function f(x) (a) Sketch the odd and even periodic extension of f(x) for-3< x < 3m (b)...
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 0<x<π/2. z, f(x) = (a) Sketch the odd and even periodic extension of f(x) for-3π 〈 x 〈 3π. (b) Find the Fourier cosine series of the even periodic extension of f(x)
Consider the function 0
Most questions answered within 3 hours.
-
Calculate the final discrete available-to-promise quantity for
Week 1 using the following table.
Weeks
1
2...
asked 9 minutes ago -
Bob is gambling in the casino. The probability that he will win
nothing is 0.2. The...
asked 1 hour ago -
A free electron and a free proton are exactly 0.70 cm apart.
A)
Find the magnitude...
asked 1 hour ago -
Identify and Describe the major sources of U.S law. Provide a
sport-related example of each.
asked 2 hours ago -
NASA's Ames Research Center in Mountain View, California, houses
a 20g centrifuge used to conduct research...
asked 2 hours ago -
I want a python code using recursion ONLY.
I cannot use any loops, dictionaries or modules....
asked 2 hours ago -
Tobin Supplies Company expects sales next year to be $450,000.
Inventory and accounts receivable will increase...
asked 3 hours ago -
Give the relative rates for the following with a neighbor at your
desk
PH3(g) to P4(g)...
asked 4 hours ago -
Suppose Acap Corporation will pay a dividend of $2.87 per share
at the end of this...
asked 4 hours ago -
Scientists make earthquake forecasts using data from:
A.
geodesy
B.
seismology
C.
geology
D.
paleoseismology
E....
asked 4 hours ago -
Employee training can
be defined as planned organizational efforts to help employees
learn job-related knowledge, skills,...
asked 5 hours ago -
Which for loop is implemented correctly in Java?
Group of answer choices
for (i = 0...
asked 6 hours ago