The inner product of two functions and g on [a, b] is given by Two distinct
Question:
The inner product of two functions ƒ and g on [a, b] is given by
Two distinct functions ƒ and g are said to be orthogonal if〈ƒ, g〉= 0. Show that the following set of functions is orthogonal on [-π, π].
Transcribed Image Text:
(f. g) || [ f(x)g(x) dx. a
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (9 reviews)
cosmx cosnx dx sinmx sinnx dx I sinmx cosnx dx 2 2 sinmx cosmx d...View the full answer
Answered By
Prithwish Bandyopadhyay
Hey guys, I did my Btech in ECE from India. I work in a reputed MNC as a software engineer. Let me know if you guys need any help regarding any particular topic. I would answer your questions if the topic is known to me.
0.00
0 Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
The following cash flow transactions are said to be equivalent in terms of economic desirability at an interest rate of 12% compounded annually. Determine the unknown value A. 750 600 450 300 150 2...
-
The graphs of two functions and g are shown in the figures. Find ( g)(2). y (3, 4) (4, 8) y = f(x) y = g(x) (2, 2) (2, 1) 4 (1, 1) 2.
-
The graphs of two functions and g are shown in the figures. Find (g f)(3). y (3, 4) (4, 8) y = f(x) y = g(x) (2, 2) (2, 1) 4 (1, 1) 2.
-
Write a program RecoverSignal that will read the binary file written by StoreSignal, as described in the previous exercise. Display the integer values that the data represents on the screen.
-
Consumer Reports provides information on new automobile models-including price, mileage ratings, engine size, body size, and indicators of features. A simple random sample of 35 new models yielded...
-
What is meant by bystander apathy, and under what circumstances is it most likely to occur?
-
Calculate the interquartile range for each of the following sets of data: a. \(3,6,7,12,15,17,23,28\) b. \(8,4,1,6,13,10,12,5\) c. \(3,8,14,11,16,7,14,15,11,9,12,6\) d....
-
In a recent year, Coach, Inc, a designer and marketer of handbags and other accessories, issued 12,100 shares of its $0.01 par value stock for $344,000 (these numbers are rounded). These additional...
-
Hamilton Company applies manufacturing overhead costs to products based on direct labor hours. The company estimates manufacturing overhead cost for the year to be $274,000 and direct labor hours to...
-
To test the pricing and mathematical accuracy of sales invoices, the auditors selected a sample of 200 sales invoices from a total of 41,600 invoices that were issued during the year under audit. The...
-
Use the result of Exercise 80 to prove the following versions of Walliss Formulas. If n is odd (n 3), then If n is even (n 2), then Data from in Exercise 80 The table shows the normal maximum...
-
In Exercises use the results find the integral. sin sin4 x cos x dx
-
A fluid expands from point A to point B along the path shown in Figure 18-27. (a) How much work is done by the fluid during this expansion? (b) Does your answer to part (a) depend on whether the...
-
Find the moment of inertia of the \(\mathrm{CO}_{2}\) molecule (data given in the question 3) with respect to an axis perpendicular to the molecule and passing through the C.M. Question 3 Determine...
-
A coin of mass \(m=20 \mathrm{~g}\) is placed on top of a rotating disk at a radial distance \(R=20 \mathrm{~cm}\) from the axis. The coefficient of static friction between the two disks is...
-
Find the moment of inertia of the \(\mathrm{H}_{2} \mathrm{O}\) molecule (data given in the question 3) with respect to the axis perpendicular to the molecule and passing through the C.M. Question 3...
-
Find the moment of inertia of the \(\mathrm{NH}_{3}\) molecule (data given in the question 3) with respect to the axis perpendicular to the plane containing the three \(\mathrm{H}\) atoms and passing...
-
The real numbers form a group under the binary operation of arithmetic addition. Show that for real numbers \(v\) the matrices form a 2D representation of this additive group of real numbers. Show...
-
Solid KSCN was added to a 2.00 M Co2+ solution so that it was also initially 2.00 M SCN. These ions then reacted to give the complex ion Co(SCN)+, whose formation constant was 1.0 102. What is the...
-
If your school has a subscription to the FASB Codification, go to aaahq.org/ ascLogin.cfm to log in and prepare responses to the following. (a) What is the stock dividend? (b) What is a stock split?...
-
In problem, determine whether the graph is that of a function by using the vertical-line test. If it is, use the graph to find: (a) The domain and range (b) The intercepts, if any (c) Any symmetry...
-
Two cars leave an intersection at the same time. One is headed south at a constant speed of 30 miles per hour, and the other is headed west at a constant speed of 40 miles per hour (see the figure)....
-
In problem, find the domain of each function. f(x) = 2 - x
-
Programming Project - GrilleCoder (Polymorphic Cryptography) | Encryption and Decryption For the GridCoder we will represent grilles as a 2-dimensional boolean array, where true values represent hole...
-
please use JUnit test for switching player class and explain SwitchPlayer.class public class SwitchingPlayer extends Player { public SwitchingPlayer(List doors, GameshowHost monty) { super(doors,...
-
Can anyone fixing my code please? I try to math +,-,*,/ in Java GUI without pressing the "=" button. For example: when I press number "1" button (the text box had the number 1 ) then I press "+"...
Study smarter with the SolutionInn App