Answered step by step

Verified Expert Solution

Link Copied!

Question

1 Approved Answer

Posted on Jun 19, 2024

Find all continuous functions(if any) defined on [0,1], so that integral from 0 to 1 f(x)dx =1, integral from 0 to 1 f(x)sin(x)dx= a, integral

Find all continuous functions(if any) defined on [0,1], so that integral from 0 to 1 f(x)dx =1, integral from 0 to 1 f(x)sin(x)dx= a, integral from 0 to 1 f (x) sin²(x)dx=a²

Step by Step Solution

There are 3 Steps involved in it

Step: 1

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

Step: 3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Elementary Number Theory With Applications

Authors: Thomas Koshy

2nd Edition

0080547095, 9780080547091

More Books

Students also viewed these Mathematics questions

Question

★★★★★

If Lillian weighs 500 N, what is her weight in pounds?

Answered: 1 week ago

Question

★★★★★

=+25. Insurance (life expectancy). Insurance companies base their premiums on many factors, but basically all the factors are variables that predict life expectancy. Life expectancy varies from place...

Answered: 1 week ago

Question

★★★★★

Let X1, X2,..., Xn denote independent and identically distributed random variables and define the order statistics X(1),..., X(n) by X(i) ith smallest of X1,..., Xn Show that if the distribution of...

Answered: 1 week ago

Question

★★★★★

The information in the table is from the statement of cash flows for a company at four different points in time (A, B, C, and D). Negative values are presented in parentheses. InstructionsFor each...

Answered: 1 week ago

Question

★★★★★

23) a ) Orion Corporation is preparing a cash budget for the six months beginning January 1. Shown below are the company's expected collection pattern and the budgeted sales for the period.(10)...

Answered: 1 week ago

Question

★★★★★

Wally is planning for his retirement 20 years away. When he retires he want amount of Ksh.300, 000. His financial advisor suggested that 5% p.a. was a suitable interest rate to consider. How much...

Answered: 1 week ago

Question

★★★★★

Compute the value of the test statistic for the following sample, for testing H0: m = 50 versus H1: m Answered: 1 week ago

Answered: 1 week ago

Question

★★★★★

One $\mathrm{J} / \mathrm{kg}$ is equal to (a) $1 \mathrm{kPa} \cdot \mathrm{m}^{3}$ (b) $1 \mathrm{kN} \cdot \mathrm{m} / \mathrm{kg}$ (c) $0.001 \mathrm{~kJ}$ (d) \(1 \mathrm{~N} \cdot...

Answered: 1 week ago

Question

★★★★★

On 5 January, the day of her successful grand opening of Hair Affair Pty Ltd, Kate Brown collected $$2280$ in cash for hair styling services, and paid $$400$ in wages and $$92$ for rent. Kate...

Answered: 1 week ago

Question

★★★★★

For the four unrelated situations, A-D, calculate the unknown amounts indicated by the letters appearing in each column: A B Beginning Assets... Liabilities. $28,000 $12,000 $28,000 $ (d) 18,600...

Answered: 1 week ago

Question

★★★★★

The following items could appear on a bank reconciliation: a. Outstanding checks b. Deposits in transit c. NSF check d. Bank collection of our note receivable e. Interest earned on bank balance f....

Answered: 1 week ago

Question

★★★★★

1.The aorta is a major artery, rising upward from the left ventricle of the heart and curving down to carry blood to the abdomen and lower half of the body. The curved artery can be approximated as a...

Answered: 1 week ago

Question

★★★★★

Engage everyone in the dialogue

Answered: 1 week ago

Question

★★★★★

1. Given your basic mental state, i.e. the state you often return to. Give this state a name that you recognize and that is easy to remember, such as irritability, frustration, joy, etc. Also give...

Answered: 1 week ago

Question

★★★★★

5. The next time a negative event occurs, or a negative memory occurs, think about how you need to perform to make this a success story.

Answered: 1 week ago

Previous Question Next Question