Consider the function: f (x) = x 3 (a) Take the integral and calculate ? 1 0
Question:
Consider the function:
f (x) = x3
(a) Take the integral and calculate
?10f(x)dx
(b) Now consider splitting the interval [0, 1] into 4 pieces,
x0 = 0 x1x2x3x4 = 1
Where you choose the xi. They may or may not be equally spaced. Calculate the following sums numerically:
(c) What are the differences between these two sums and how well do they approximate the true value of theintegral?
Transcribed Image Text:
Σια S(x;)(x; - xi-1) f(xi :)(x- x; 1).. i=1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 63% (11 reviews)
The function f x x 3 is a monotonically increasing function for x 0 1 Therefore the left endpoint ...View the full answer
Answered By
Rishabh Ojha
During my undergraduate i used to participate as TA (Teaching Assistant) in several electronics and computers subject. I'm passionate about learning Computer Science as my bachelors are in Electronics but i learnt most of the Computer Science subjects on my own which Machine Learning also. At Present, i'm a working professional pursuing my career as a Machine Learning Engineer and i want to help others learn during my free hours, that's all the motivation behind giving tuition. To be frank i have no prior experience of tutoring but i have solved problems on opensource platforms like StackOverflow and github. ~Thanks
4.90+
3+ Reviews
10+ Question Solved
Related Book For
An Introduction to the Mathematics of financial Derivatives
ISBN: 978-0123846822
2nd Edition
Authors: Salih N. Neftci
Question Posted:
Students also viewed these Finance questions
-
Consider the function: f(x) = x3 (a) Take the integral and calculate (b) Now consider splitting the interval [0, 1] into 4 pieces, where you choose the xi. They may or may not be equally spaced....
-
What are the differences between these perspectives?
-
Consider the function f (x) = 4 + (x - 2)3/5 given in Exercise 6. a. Graph y = f (x) and use your calculator to draw its inverse. b. Graph the inverse function you found in Exercise 6b. How does it...
-
Fun Cosmetics Ltd. is a skincare product manufacturer based in New Zealand that produces the LoveSkin instant moisturizer for women. Because of the reliability and quality of its products, it has...
-
The next dividend payment by ECY, Inc., will be $2.90 per share. The dividends are anticipated to maintain a growth rate of 5.5 percent, forever. If the stock currently sells for $53.10 per share,...
-
Fox Enterprises is owned by Edmund Fox and has a January 31 fiscal year end. The company prepares adjusting entries on an annual basis. The following trial balance was prepared before adjustments:...
-
How does an auditor test whether recorded accounts receivable exist?
-
Premier Building & Development, Inc., entered a listing agreement giving Sunset Gold Realty, LLC, the exclusive right to find a tenant for some commercial property. The terms of the listing agreement...
-
Sam has the following incomes and tax related items Net Employment Income $45,600.00 Net Business Profit $27,310.00 Capital Gains $31,620.00 Allowable Capital Losses $20,825.00 Contribution to RRSP...
-
The before-tax income for Hawks Corp. for 2019 was $ 115,500 ; for 2020, it was $ 79,000 . However, the accountant noted that the following errors had been made: 1. Sales for 2019 included $ 39,300...
-
Suppose Xn = aXn 1 + 1 With X0 given. Write Xn as a partial sum. When does this partial sum converge?
-
Now consider the function f (x) discussed in this chapter: (a) Take the integral and calculate (b) again, split the interval [0, 1] into 4 pieces,X0 = 0 By choosing the xi numerically.Calculate the...
-
Two antennas driven by the same electrical signal emit coherent radio waves. Is it possible for two antennas driven by independent signals to emit radio waves that are coherent with each other? If...
-
You are sketching equipotentials for a positively charged particle, having defined \(V=0\) at infinity. If you draw the \(5.0-\mathrm{V}\) equipotential as a circle with a radius of \(50...
-
Create a query that summarizes the value of products currently in inventory. Note that the value of each product is a result of multiplying the units currently in inventory by the unit price. Sort...
-
Consider a spherically symmetrical distribution of charged particles. The magnitude of charge for the distribution is \(q\), and the radius of the distribution is \(R\). The electrostatic potential...
-
Determine the magnitude of Earth's gravitational field for \((a)\) a 70. 0-kg person standing at Earth's surface, \((b)\) a \(700.0-\mathrm{kg}\) satellite in orbit \(150 \mathrm{~km}\) above Earth's...
-
Four objects are moved in various ways in the electrostatic field of Figure P25.19. Rank the following motions in order of the amount of electrostatic work done on the object, smallest amount first:...
-
An AMAZON pack of mass \(7.0 \mathrm{~kg}\) is stationary on a horizontal rough surface. The coefficient of static friction for the pack is \(\mu_{s}=0.85\). The pack sorting device acts with a force...
-
When a company has a contract involving multiple performance obligations, how must the company recognize revenue?
-
Why is it important to remove transitive dependencies?
-
Let Y be a random variable defined by where W is a standard Wiener process. Compute E(Y) and E(Y2). (9.137)
-
Write a program that numerically calculates the value of the following stochastic integral via simulation: (9.138)
-
Consider the stochastic process, Xt which satisfies where γs is stochastic and Bs is a standard Brownian motion. Find an expression for Cov(Xs, Xt) for s (9.139)
-
The following data refers to Huron Corporation for the year 20x2. Sales revenue $ 2,106,000 Raw-material inventory, 12/31/x1 89,000 Purchases of raw material in 20x2 731,000 Raw-material inventory,...
-
As Venue Manager, you have decided you will meet with a new employee who joined the organization just yesterday and share with them the compliance information that applies to two of the areas in...
-
Tourism is seen by many as the absolute advantage for several countries in the Caribbean. Simpson (2022) states that the Caribbean is the most tourism-dependent region in the world. How can your...
Study smarter with the SolutionInn App