Prove that is differentiable on R2 for all a f(x, y) = Itx2+y2) (x, y)(0.0) 0

Question:

Prove that

is differentiable on R2 for all a

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

An Introduction to Analysis

ISBN: 978-0132296380

4th edition

Authors: William R. Wade

See More Books

Question Posted: Mar 29, 2016 04:19 AM

See More Questions

Assuming that ex is differentiable on R, prove that is differentiable on [0, ). Is f differentiable at 0? f(x) ={1+el/x * #0 tel/x
Prove that is not differentiable at (0, 0). (x, y) = (0, 0)
Let f, g: R2 R be differentiable and satisfy the Cauchy-Riemann equations; that is, that hold on R2. u(r, 0) = f(r cos Î¸, r sin Î¸) and v(r, Î¸) = g(r cos...
The CEO of Amazon, has publicly questioned the advisability of granting patents for business processes such as his companys 1-Click ordering process. Do such patents put a chilling effect on the...
The Gifford Investment Company bought 90 Cable Corporation warrants one year ago and would like to exercise them today. The warrants were purchased at $25 each, and they expire when trading ends...
Why does a student need to understand how to use a manual, paper-based accounting information system since everyone uses computerized systems?
For all readers, the main thing to do at this point is to reflect on the complexity of this organizations culture and how its micro and subcultures are nested in both the U.S. culture and the culture...
Prime Company holds 80 percent of Lane Company's stock, acquired on January 1, 20X2, for $160,000. On the date of acquisition, Lane reported retained earnings of $50,000 and $100,000 of common stock...
Scenario Modelers prospective stock has a 15% chance of producing a 65% return, a 25% chance of producing a 22% return, a 40% chance of producing a 9% return, and a 20% chance of producing a 24%...
Encoding and decoding schemes are used in a wide variety of applications, such as in the streaming of music and videos, data communications, storage systems (e.g., on CDs, DVDs, RAID arrays), among...
Prove that f(x, y) = |x, y| is not differentiable at (0, 0).
Prove that if a > 1/2, then is differentiable at (0, 0). ylog(2 y x y) (x, y) (0, 0) (0.0) f(a. y)
Use the data in Exercise 11-8 to determine the amount of dividends paid each year to each of the two classes of stockholders assuming that the preferred stock is cumulative. Also determine the total...
1. List at least three (3) ways a business can anticipate potential problems to prevent complaints. 2. Explain how to identify customer needs and expectations. 3. List at least five (5) ways to build...
you have taken over a company with 4 employees and you have 1 millon dollars with you.as business management student,you are expected to take 5 business decisions ensuring that the company is able to...
Draw the Diamond - E ( SERVO ) model of strategic management and provide ONE WORD ( or short phrase ) that best describes the relationships between the elements of the model. ( up to 1 0 points )
If a patient's X-ray is rejected (at the end of the 22-minute evaluation by the doctor), she has a second X-ray taken (assume that the second X-ray will always be accepted) and this new X-ray must be...
What are the cognitive appraisal processes involved in stress perception, and how can cognitive-behavioral techniques such as cognitive restructuring and mindfulness-based interventions help...
When its lease expired, Kingston Frameworks made plans to move to another building. Prep rations were made to remove shelving, mat and glass cutters, display boards, benches, and other fixtures that...
What types of inventory issues Starbucks might reflect upon at the end of each year? The mission of Starbucks is to inspire and nurture the human spiritone person, one cup, and one neighborhood at a...
Consider the regression model fit to the soil shear strength data in Exercise 12-1. (a) Test for significance of regression using a = 0.05. What is the P-value for this test? (b) Construct the t-test...
Consider the absorption index data in Exercise 12-2. The total sum of squares for y is SST = 742.00. (a) Test for significance of regression using a = 0.01. What is the P-value for this test? (b)...
Consider the NFL data in Exercise 12-4. (a) Test for significance of regression using a = 0.05. What is the P-value for this test? (b) Conduct the t-test for each regression coefficient B2, B7, and...
Each week you must submit an annotated bibliography. Entries of current events relating to the economic concepts and the impact on the company or the industry of your company. You must use acceptable...
Fluffy Toys Ltd produces stuffed toys and provided you with the following information for the month ended August 2020 Opening WIP Units 5,393 units Units Started and Completed 24,731 units Closing...
Part A Equipment 1,035,328 is incorrect Installation 44,672 is incorrect Anything boxed in red is incorrect sents 043/1 Question 9 View Policies Show Attempt History Current Attempt in Progress...

Prove that is differentiable on R2 for all a f(x, y) = Itx2+y2) (x, y)(0.0) 0

Question:

f(x, y) = Itx2+y2)" (x, y)关(0.0) 0

Step by Step Answer:

At any x y 0 0 f has continuous first partials hence is differentiable ...View the full answer

An Introduction to Analysis

Students also viewed these Numerical Analysis questions