Mathematics
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OpenStudy (anonymous):
find domain and ?range of two variables function
f(x,y)=square root of y-x ?
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OpenStudy (anonymous):
plzzzzzzzzz ans me
OpenStudy (anonymous):
think about the restrictions on x and y for their difference to be a positive number
OpenStudy (anonymous):
^he's right
OpenStudy (anonymous):
sory i din't under stand
OpenStudy (anonymous):
domain is the set of values of x for which function is defined...
which is \[\left\{ \left( x,y \right)\epsilon R ^{2} : y \ge x \right\}\]
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OpenStudy (anonymous):
how would you make y-x=positive number
OpenStudy (anonymous):
y=x
OpenStudy (anonymous):
lets see how....if y<x in your function, you'll get a negative number in the square root...which is undesirable
OpenStudy (anonymous):
if we take squre on both side m r rite ?
OpenStudy (anonymous):
nope
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OpenStudy (anonymous):
so?
OpenStudy (anonymous):
do you know what is DOMAIN?
OpenStudy (anonymous):
these are two variable function
OpenStudy (anonymous):
`
OpenStudy (anonymous):
yea...A domain is the set of numbers which are valid values for the independent variables
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OpenStudy (anonymous):
mens imaginar are not in domain ?
OpenStudy (anonymous):
yup
OpenStudy (anonymous):
ok
OpenStudy (anonymous):
when is y-x negative?
OpenStudy (anonymous):
indepent nd dependent what is difference b/w both
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OpenStudy (anonymous):
<0 then negative ? m r rite
OpenStudy (anonymous):
???????????
OpenStudy (anonymous):
yea so domain is 'those values of y and x' for which y-x> or equal to 0 (non-negative)...
solve y-x>or equal to 0
y>or equal to x
OpenStudy (anonymous):
are we clear on domain?
OpenStudy (anonymous):
now clear buddy
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OpenStudy (anonymous):
Good
OpenStudy (anonymous):
about range ?
OpenStudy (anonymous):
now the range is the set of value of function you get when you put values you got in domain...
OpenStudy (anonymous):
If you put y> or equal to x in you function do we get positive f(x,y) or negative?
OpenStudy (anonymous):
positive
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OpenStudy (anonymous):
coz < 0r = sign
OpenStudy (anonymous):
right...positive..so you range will be
\[\left\{ f \in R : f \ge 0 \right\}\]
OpenStudy (anonymous):
ok thanxxxxxxxxxxxxxxxxxxxxx alotttttttttttt
OpenStudy (anonymous):
aha welcomio
OpenStudy (anonymous):
:)