Homework Answers
a)
![Poue aSlme geries 19 hen ty +e Mt Noco Fouer Sme serees to t alere lethtte( eengtDatt tsm/4-0m1]4t e t + 4(-re -ne H(D (+D(1-](http://img.homeworklib.com/images/6203a232-8980-4337-adf0-657f39cfdbda.png?x-oss-process=image/resize,w_560)
Therefore the fourier sine
series of g is:
b)
fourier cosine series is better than fourier sine series because fourier cosine series is uniformly convergent which can be proved by weitrass but we dont know fourier series is uniformly convergent or not
Add Answer to:
Problem 4. Let 0<4 g(r) ecos (a) write the Fourier cosine series and the Fourier sine series respectively. (b) Draw...
Question 4. Calculate the Fourier sine series and the Fourier cosine series of the function f(x)...
Question 4. Calculate the Fourier sine series and the Fourier cosine series of the function f(x) = sin(x) on the interval [0, 1]. Hint: For the cosine series, it is easiest to use the complex exponential version of Fourier series. Question 5. Solve the following boundary value problem: Ut – 3Uzx = 0, u(0,t) = u(2,t) = 0, u(x,0) = –2? + 22 Question 6. Solve the following boundary value problem: Ut – Uxx = 0, Uz(-7,t) = uz (77,t)...
Let f(x) = x.a) Expand f(x) in a Fourier cosine series for 0 ≤ x ≤...
Let f(x) = x.a) Expand f(x) in a Fourier cosine series for 0 ≤ x ≤ π.b) Expand f{x) in a Fourier sine series for 0 ≤ x < π.c) Expand fix) in a Fourier cosine series for 0 ≤ x ≤ 1.d) Expand fix) in a Fourier sine series for 0 ≤ x < 1.
Let f(x) = 1, 0 〈 x 〈 π. Find the Fourier cosine series with period...
Let f(x) = 1, 0 〈 x 〈 π. Find the Fourier cosine series with period 2T. Let f(x) = 1, 0 〈 x 〈 π. Find the Fourier sine series with period 2T.
= Problem #2: The function f(x) sin(4x) on [0:1] is expanded in a Fourier series of...
= Problem #2: The function f(x) sin(4x) on [0:1] is expanded in a Fourier series of period Which of the following statement is true about the Fourier series of f? (A) The Fourier series of f has only cosine terms. (B) The Fourier series of f has neither sine nor cosine terms. (C) The Fourier series of f has both sine and cosine terms. (D) The Fourier series of f has only sine terms.
3. Let f(x) = 1 – X, [0, 1] (a) Find the Fourier sine series of...
3. Let f(x) = 1 – X, [0, 1] (a) Find the Fourier sine series of f. (b) Find the Fourier cosine series of f. (Trench: Sec 11.3, 12) (Trench: Sec 11.3, 2)
Find the Fourier series representation (give 4 nonzero terms-include at least one cosine term and one...
Find the Fourier series representation (give 4 nonzero terms-include at least one cosine term and one sine term if both exist) of the following periodic function which in one period is given by: -2<x<0. f= 0 0<x<2 f = 1 2 A Avot w To 2 Find the Fourier series representation (give 4 nonzero terms-include at least one cosine term and one sine term if both exist) of the following periodic function which in one period is given by: -1<x<T...
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier coefficients for the function f(x)-9, 0, TL b. Use the computer to draw the Fourier sine series of f(x), for x E-15, 15...
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier coefficients for the function f(x)-9, 0, TL b. Use the computer to draw the Fourier sine series of f(x), for x E-15, 151, showing clearly all points of convergence. Also, show the graphs with the partial sums of the Fourier series using n = 5 and n = 20 terms.
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier...
Problem 1. Find the Fourier series expansion of a half-wave rectified sine wave depicted below. AS(0)...
Problem 1. Find the Fourier series expansion of a half-wave rectified sine wave depicted below. AS(0) Answer: f(t) = 1+sin at cos2nt 1 nr 15 2 Cos 4t -cost + ... 35 Problem 2. Find the Fourier series approximation of the following periodic function f(x), where the first two leading cosine and sine functions must be included. Angle sum formulas for sine / cosine functions f(x) sin(A + B) = sin A cos B + cos A sin B sin(A...
find the Fourier cosine and sine series for the function f defined on an interval 0<t<L and sketch the graphs of the two extensions of f to which these two series converge: f(t)=1-t, 0<t<1...
find the Fourier cosine and sine series for the function f defined on an interval 0<t<L and sketch the graphs of the two extensions of f to which these two series converge: f(t)=1-t, 0<t<1
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
Question 4. Calculate the Fourier sine series and the Fourier cosine series of the function f(x) = sin(x) on the interval [0, 1]. Hint: For the cosine series, it is easiest to use the complex exponential version of Fourier series. Question 5. Solve the following boundary value problem: Ut – 3Uzx = 0, u(0,t) = u(2,t) = 0, u(x,0) = –2? + 22 Question 6. Solve the following boundary value problem: Ut – Uxx = 0, Uz(-7,t) = uz (77,t)...
Let f(x) = 1, 0 〈 x 〈 π. Find the Fourier cosine series with period 2T. Let f(x) = 1, 0 〈 x 〈 π. Find the Fourier sine series with period 2T.
= Problem #2: The function f(x) sin(4x) on [0:1] is expanded in a Fourier series of period Which of the following statement is true about the Fourier series of f? (A) The Fourier series of f has only cosine terms. (B) The Fourier series of f has neither sine nor cosine terms. (C) The Fourier series of f has both sine and cosine terms. (D) The Fourier series of f has only sine terms.
3. Let f(x) = 1 – X, [0, 1] (a) Find the Fourier sine series of f. (b) Find the Fourier cosine series of f. (Trench: Sec 11.3, 12) (Trench: Sec 11.3, 2)
Find the Fourier series representation (give 4 nonzero terms-include at least one cosine term and one sine term if both exist) of the following periodic function which in one period is given by: -2<x<0. f= 0 0<x<2 f = 1 2 A Avot w To 2 Find the Fourier series representation (give 4 nonzero terms-include at least one cosine term and one sine term if both exist) of the following periodic function which in one period is given by: -1<x<T...
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier coefficients for the function f(x)-9, 0, TL b. Use the computer to draw the Fourier sine series of f(x), for x E-15, 151, showing clearly all points of convergence. Also, show the graphs with the partial sums of the Fourier series using n = 5 and n = 20 terms.
(1 point) Consider the Fourier sine series: ) 14, sin( f(z) a. Find the Fourier...
Problem 1. Find the Fourier series expansion of a half-wave rectified sine wave depicted below. AS(0) Answer: f(t) = 1+sin at cos2nt 1 nr 15 2 Cos 4t -cost + ... 35 Problem 2. Find the Fourier series approximation of the following periodic function f(x), where the first two leading cosine and sine functions must be included. Angle sum formulas for sine / cosine functions f(x) sin(A + B) = sin A cos B + cos A sin B sin(A...
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
Most questions answered within 3 hours.
-
1. The correlation coefficient determined for two variables has
a value of 0.89. Describe, in words,...
asked 9 seconds from now -
Kyle, a 95.0 kg football player, leaps straight up into the air
(with no horizontal velocity)...
asked 22 minutes ago -
Which of the following is a measure of profitability?
A.
Quick (acid-test) ratio
B.
Net sales...
asked 24 minutes ago -
Find the total pressure exerted by 2 grams of ethane and 3 grams
of CO2 contained...
asked 26 minutes ago -
A fireman standing on a 5.2 m high ladder operates a water hose
with a round...
asked 22 minutes ago -
A cream formulation is studied for accelerated stability study.
Creaming was observed when formulation was tested...
asked 25 minutes ago -
A 1,150 lumen light bulb is placed 37 cm in front of a mirrored
wall, whose...
asked 35 minutes ago -
Given that z is a standard normal random variable, compute the
following probabilities (to 4 decimals)....
asked 41 minutes ago -
You begin preparation of the calibration curve to measure
absorbance vs concentration of FeSCN2+. To do...
asked 59 minutes ago -
When you speak after breathing helium, in which the speed of
sound is much greater than...
asked 51 minutes ago -
3. Stock Valuation: You are the CEO of Under Armour, Inc. and
are thinking about how...
asked 56 minutes ago -
Choose a brand. Critique the brand in terms of its brand
positioning, brand identity and brand...
asked 58 minutes ago