Question: Verify x 0 |t| dt = 1/2 x|x|.Consider x 0 and x 0 separately.

Verify ∫x0|t| dt = 1/2 x|x|.Consider x ≥ 0 and x ≤ 0 separately.

Step by Step Solution

★★★★★

3.32 Rating (155 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Let ft t t for t 0 for t 0 Fx fft dt Then t ... View full answer

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 Calculus 4th Questions!

Q:

Consider the following gamblers ruin problem. A gambler bets $1 on each play of a game. Each time, he has a probability p of winning and probability q = 1 p of losing the dollar bet. He will continue...

Q:

Suppose that you have panel data from an experiment with T = 2 periods (so t = 1, 2). Consider the panel data regression model with fixed individual and time effects and individual characteristics Wi...

Q:

Consider a person who is thinking about whether to engage in a life of crime. He knows that, if he gets caught, he will be in jail and will sustain a consumption level of x0 but if he does not get...

Q:

(a) The function p(x, t) satisfies the partial differential equation a4 dt in 0 x 1 for t 0, with 0

Q:

18 x dx 182 x dx i 18 x dx We will use these notations in this article Example 1 Obtain approximate solutions upto of the following initial value problem dx 2x 3y x 0 1 dt dy dt Solution t y y 0 2 We...

Q:

This questions will be about the -function (x) = (0,) t^(x1)*e(t) dt. (a) Show that for every positive integer n, (n) = (n 1)!. Thus (x) is a generalized factorial function. (b) We can use the...

Q:

Exercise Set 5.3: Graphs of the Tangent, Cotangent, Secant, and Cosecant Functions (f) Give an interval, if one exists, on which f ( x ) = tan ( x ) is increasing. Then give an Answer the following....

Q:

can you please offer correction for the X's. thank you Colonial State College is considering building a new multipurpose athletic complex on campus. The complex would provide a new gymnasium for...

Q:

Ladora Construction Company began operations on January 1, 2019, when it acquired $30,000 cash from the issuance of common stock. During the year, Ladora purchased $6,000 of direct raw materials and...

Q:

Please write neatly! And answer ALL questions! DONT LEAVE ANY OUT. 10. [-/3.12 Points] DETAILS SALGTRIG4 9.1.017. Express the vector v with initial point P and terminal point Q in component form....

Q:

There has been much debate surrounding the need for non-public companies to follow a different set of GAAP than public companies. This is often referred to as big GAAP vs. little GAAP. What is your...

Q:

Bohemian Manufacturing Company reported sales of $820,000 at the end of last year; but this year, sales are expected to grow by 8%. Bohemian expects to maintain its current profit margin of 21% and...

Q:

Professor Peach spends her entire budget on tea and biscuits to maximize her utility. The price of tea is $2 per cup and the price of each biscuit is $3. At her current consumption levels, the...

Q:

12. Near a fixed positive point charge, if you move from one equipotential surface to another with a smaller radius, (a) what happens to the value of the potential? (b) What was your general...

Q:

The height s in feet of a ball above the ground at t seconds is given by s = - 16t2 + 40t + 100. (a) What is its instantaneous velocity at t = 2? (b) When is its instantaneous velocity 0?

Q:

There are two tangent lines to the curve y = 4x - x2 that g through (2, 5). Find the equation of both of them. Let (x0, y0) bee a point of tangency. Find two conditions that (x0, y0) must satisfy....

Q:

A space traveler is moving from left to right along the curve y = x2. When she shuts off the engine, she will continue traveling along the tangent line at the point where she is at that time. At what...

Q:

The summarised general ledger trial balance of ABC Ltd , a manufacturing company, for the year ended 3 0 June 2 0 2 2 is detailed below. Dr Cr Sales of goods $ 4 7 6 9 0 0 0 Interest income 6 0 0 0...

Q:

Calculate the impact of a shift in payer mix for Webster to the national average presented in the article. The current payer mix is represented in Table 5.8. Contractual Allowances are as follows:...

Q:

Smoky Mountain Corporation makes two types of hiking bootsthe Xtreme and the Pathfinder. Data concerning these two product lines appear below: Selling price per unit Direct materials per unit Direct...