Question: If does exist? f(x, y) xy x + y 2

If   f(x, y) xy x + y 2

does 

lim f(x, y) (x, y) (0,0)

exist?    

f(x, y) xy x + y 2

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

Figure 5 If y 0 then fx 0 0x 0 Therefore fxy 0 If x 0 then f0 y 0y 0 so fxy 0 as as xy 00 al... 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 6th edition Questions!

Q:

Mr. Singh decided to have a barbecue to raise money for teachers at Humberside so they could have a fun staff trip. The barbecue was a success. Mr. Singh went to the bank and deposited $2,810. He...

Q:

You are required to write a Python program that will manage character (heroes and villain) information. Character (hero and villain) information will be stored in a text file that will be read in...

Q:

What happened? Who was involved? What were the legal issues? What was the decision of the court? Why did the court reach its decision? What other significant elements should be included in the...

Q:

1. Consider the function of two variables defined by p f (x, y) = 1 x2 + y 2 , x R, y R . (a) Compute the level sets f (x, y) = c for levels c = 0, 12 , 1, and use these to construct a sketch of z =...

Q:

Could you help me with this question please? Thank you In Exercises 43-52, sketch the level curves c = -3, -2, -1, 0, 1, 2, 3 if they exist for the specified function. 3x 43. f( x, y) = x+y 44. f (x,...

Q:

Hi y'all! If you could answer any of the questions here that would be AWESOME /tmp/282676-14774105227098708-32654-96170.dvi Express the function f(x) = x+8 x5 as a piecewise-defined function by...

Q:

Partial derivatives. For each of the following multi-variable functions, compute the partial derivatives with respect to both x and y . a. f (,) x y xy = b. f (,) xy x y = + 2 3 c. f (,) xy xy = 2 4...

Q:

1. [-/3 Points] DETAILS SESSCALC2 11.7.007.MI. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER Find the local maximum and minimum values and saddle point(s) of the function. If you have three-dimensional...

Q:

Find the critical point of the function. Then use the Second Derivative Test to classify the nature of this point, if possible. (If an answer does not exist, enter DNE.) f( x, y ) = xy +_ -+ 9 X...

Q:

Which of the following integrals is the same as f(x,y) dx dy? 0 0 O f (x,y) dydx 0 O 4 f (x,y) dydx 0 O f (x,y ) dydx 0 O 2 4 f (x,y) dydx 0 x2QUESTION 4 Select the correct answer from the bounds O 2...

Q:

Why is type o considered the universal donor? (It can give to all blood types is NOT acceptable, explain what its blood antigen/ antibody make up has to do with this ability). - Why is type AB the...

Q:

The statement: Italy has no currency of its own : a. fits both the Austrian theory of money and the State theory of money b. fits the Austrian theory, but not the State theory of money c. fits...

Q:

You have just been appointed senior analyst at Credit Functions Inc. One of your primary duties is to monitor international markets and apply that analysis to the company's yearly projections. This...

Q:

18. List three guidelines when developing employee schedules.

Q:

By writing 1/x = 1/[1 - (1 - x)] and using the known expansion of 1 / (1 - x), find the Taylor series for 1 / x in powers of x - 1?

Q:

Let f(x) = (1 + x)1/2 + (1 - x)1/2, find the Maclaurin series for f and use it to find f(4) (0) and f(51) (0)?

Q:

One can sometimes find a maclaurin series by the method of equating coefficients. For Example, let tan x = sin x / cos x = a0 + a1x + a2x2 + ... x - x3 / 6 + ... = (a0 + a1x +a2x2 + ...) (1 - x2/2 +...

Q:

: consider the binary code 0 1 1 0 1 0 0 1 . Draw the pulse code waveforms for the following signaling formats. RZ , RB , Split phase ( Manchester ) , Split phase ( Mark ) , NZR ( L ) , NRZ ( M ) and...

Q:

HW4 Fall 2017 Fixed Income Markets and Derivatives 1.You are provided with the following quote on Settlement date is October 1, 2013. All quoted prices are in decimals. Maturity Coupon Bid Asked Chg...

Q:

1. What are the objectives of budgeting? 2. Identify one budget within the Master Budget and explain its purpose. 3. Under what circumstances would a static budget be appropriate?