# calculus

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find the domain of the function
a) f(x,y) = e^(-xy)

b) h,(u,v)= √(4-u^2 - v^2)

• calculus -

find the second-order partial derivatives of f(x,y)=x^3 + x^2y^2 + y^3 + x+y
and show that the mixed partial derivatives fxy and fyx are equal

• calculus -

f'(x)=3x^2+2xy^2+1
f'(Y)=2x^2+3y^2+1

f'(xy)=4xy
f'(yx)=4xy

• calculus -

For part B, your figure there is an ellipsoid, x^2+y^2+z^2=4, so the domain should be (x,y,z):X<4,y<4,z<4

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