State whether the following statements are true or false. Give reasons for your answers. (6)
a) The function R → R
3
f : , given by f (x, y,z) = x + y + z is differentiable at
,3,2( − )1 .
b) The function
= x
x
y
f ( is a homogeneous function on x, y) max ,
2 R .
c) The domain of the function f / where g f (x, y) = 2xy and 2 2
g(x, y) = x + y is 2
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Answer:(a) and (c) true
(b) false
Step-by-step explanation:
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