- #1
kazthehack
- 5
- 0
1.)
Sketch the domain of f(x,y,z) = ln(25-x^2-y^2-z^2) and determine it's range.
N/a
Im sure the domain is x^2+y^2+z^2 < 25 or (-infinity, 25)
Then the range is (0,+infinity.)
my problem is how would i sketch it.. i was thinking of a sphere with dotted outline at 5,5,5
2.
Specify the type of discontinuity at the origin of the following functions.
2x^y/x^4+y^2
N/a
i am not sure how would i find the limit of f(x,y) as (x,y)->(0,0) so i can prove that it is either essential or removable discontinuity..
any help would be great thanks! :D
Homework Statement
Sketch the domain of f(x,y,z) = ln(25-x^2-y^2-z^2) and determine it's range.
Homework Equations
N/a
The Attempt at a Solution
Im sure the domain is x^2+y^2+z^2 < 25 or (-infinity, 25)
Then the range is (0,+infinity.)
my problem is how would i sketch it.. i was thinking of a sphere with dotted outline at 5,5,5
2.
Homework Statement
Specify the type of discontinuity at the origin of the following functions.
2x^y/x^4+y^2
Homework Equations
N/a
The Attempt at a Solution
i am not sure how would i find the limit of f(x,y) as (x,y)->(0,0) so i can prove that it is either essential or removable discontinuity..
any help would be great thanks! :D