For the given function fxy find the set of xy points where t

For the given function f(x,y), find the set of (x,y) points where the function is NOT continuous.

A) f(x,y) = (Ln(x-y))/sqrt(xy)

B) f(x,y) = sin(x)/(3x-2y)

Solution

function f(x,y) is not continous when value of function is not determined.

f(x,y) = ln(x-y) / sqrt(xY0

i.here, daomain of logarithmic function is not contain any nagative and zero values.

so x>y....so at all x<=y , function is not continous.

ii. domain of sqrt function in not containing any nagative values,

so if xy<0 then it is not continous mean function is not continous only either x or y is nagative or zero value.

2.

f(x,y) = sin(x) / (3x-2y)

here denominator is zero then and then this function will not be continous,

3x = 2y

hence at every y = 3x/2, function is not continous.