Question: 3. (10 marks) Consider the function: f(x) = 0 elsewhere (i) Verify that f is absolutely integrable on (-00, co). (ii) Find the Fourier integral

3. (10 marks) Consider the function: f(x) = 0 elsewhere (i) Verify that f is absolutely integrable on (-00, co). (ii) Find the Fourier integral of f. (iii) Use the obtained Fourier integral to evaluate the following integral: 1 - cost dt

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!

Knowledge and Understanding continued... 6. Consider the function f (x) = x3 (1 mark for each part, 5 marks total) a) Estimate the slope of the tangent at x =() using the following values of h . i) h...

I would like to see that the answers I handed in are right. Question 1 (16 marks) a. Consider the function f (x) = x-16 x - 4 i. State the value of x that is not in the domain of this function and...

MATH 1P97, WINTER 2016-17 ASSIGNMENT 3 Due Date: Monday March 6, 2017 at 11:59 p.m. Home assignments are individual submissions. While students are encouraged to work together, they cannot submit...

seventh pages Chapter 3 Curve Sketching How much metal would be required to make a 400-mL soup can? What is the least amount of cardboard needed to build a box that holds 3000 cm3 of cereal? The...

5. Evaluate the following definite integral S, (2x + Vx + 1)dx. e. 68 NI- 3 b. c. 2 d. a. 6. Find the area bounded by the curve f(x) = -x2 - 3x + 2 and the straight line g (x) =-2x. e. 11 6 b. NIOT a...

1. 3 2 Consider the function f(x) = x - 3x - 9x + 10, x (a) . Find the equation of the straight line passing through the maximum and minimum points of the graph y = f(x). (4) (b) Show that the point...

Hi, below are the photos of the question plz answer all questions and there is no need to give the explanation for the answer just fill the right blanks thanks Also, make sure the answers are right...

Hi, below are the photos of the question, plz answer all questions and there is no need to give the explanation for the answer just fill the right blanks thanks. Also, make sure the answers are...

(i) What is the value of exists, and if it does, find its value. lim /(x) 1. limit - 1. limit = -1 2. limit = 2. limit does not exist 3. limit = 1 3. limit = 3 4. limit = 1 4. limit does not exist 5....

can you please help me solve these questions! 48% X . . . 9:05 PM Tue Nov 2 Untitled (Draft) ~ Q n Untitled (Draft) X 1.1+Introduction+to+Limits X Lecture+Notes+-+Chem+4311-+Fall+2021 12. Find f'(0)...

Figure below shows RLC circuit, the source voltage is 120 V, 60 Hz supply. Calculate E j 150 b 200 1.1 the apparent power, S, 1.2 the real power, P. 1.3 the reactive power, Q. -j 50 1.4 the power...

Sketch a unit cell for the body-centered orthorhombic crystal structure.

Fixed manufacturing overhead is a period cost both under variable costing and under absorption costing. True False

Multiple linear regression solves the minimisation problem min (y-XB)(y = X) = - ,...., where the vectors = (o ... Bp)", n min (Bo Xij;), Bo.B1Bp i=1 - T j=1 , y = (y ... Yn)" and X is an n (p+1)...