Teddy
posted by calculus .
f(x,y) = 3x + 3y
Show that for any epsilon in:
2x + 3y  5 < epsilon
There is a delta value:
sqrt((x  1)^2 + (y  1)^2) < delta
Solve for delta in terms of epsilon

I understand that this is a proof that the limit of f(x,y) as (x,y) > (1,1) is 5.
But I'm stuck solving for delta in terms of epsilon.
thanks!

Teddy 
calculus
Sorry, f(x,y) = 2x+3y, not 3x+3y
Respond to this Question
Similar Questions

A number thoery question
Please help me! Thank you very much. Prove Fermat's Last theorem for n=3 : X^3 + Y^3 = Z^3 where X, Y, Z are rational integers, then X, Y, or Z is 0. Hint: * Show that if X^3 + Y^3 = Epsilon* Z^3, where X, Y, Z are quadratic integers … 
Maths, continuity
Plz help me out with a solution... f(x) = sin(1/x) when x is not = to 0 and f(0) = 0 Thanx in advance... A function is continuous if Limit of y>x of f(y) equals f(x) for every x. In this case you have t see if this is the case … 
calculus
finding limit using epsilon and delta of lim x>2 x^33x+7=9..plz anyone solve it for me.... 
Math
Use a graph to find a number delta such that if abs(xpi/4) < delta then abs(tanx1) < 0.2. I understand that the epsilon is 0.2. But what step do I take next? 
calculus
Find a delta for any epsilon given: x^2+x6/x+3 and x0=3 
Physics
Consider a capacitor made of two square plates of side 'l' . The distance between the two plates is 'd'. a) We insert a dielectric of dielectric constant K>1 and width l, a distance x (as in the diagram). What is the total capacitance … 
Physics
(a) In the diagram above the small semicircle in the wire above R_1 indicates that it is not in contact with the horizontal wire which it appears to intersect due to the 2dimensional projection. Additionally, the horizontal wire … 
calc 1
lim x> 2 4x+1/3x4 illustrate definition 2 by finding values of delta that correspond to epsilon=0.5 and epsilon= 0.1 I having trouble setting this up. do i set up two different functions then divide? 
calculus 1
lim x> 2 4x+1/3x4 illustrate definition 2 by finding values of delta that correspond to epsilon=0.5 and epsilon= 0.1 I having trouble setting this up. do i set up two different functions then divide? 
MathPlease Help!
Hi, I am having trouble understanding the concept of delta and epsilon. Please explain the following problem. Thank you!! Given the function f(x)=2(1/x), find delta such that if 0< Ix2I < delta, then the absolute value of f(x)1 …