True or false A) One of the steps in finding the absolute maximum and minimum va

Question

True or false

A) One of the steps in finding the absolute maximum and minimum values of f(x.y) on the closed, bounded set D is to find the extreme values of f on the boundary of D.

b)The function f(x,y)=x^2+y^2+3 has a local minimum at (0,3)

c)A saddle point is neither a local minimum nor a local maximum

d)The function f(x,y)=x^2+y^2+3 has a local minimum at (0,0)

e)The function f(x,y)=x^2-y^2   has a local minimum at (0,0)

f) .The function f(x,y)=x^2-y^2   has a local maximum at (0,0)

g)The function f(x,y)=x^2+y^2+3 has a local minimum value of 0.

h)If fx(a,b)=0 and fy(a,b)=0 , then f has a local maximum or minimum at (a,b) .

i)A saddle point is a local maximum

j)The function f(x,y)=x^2+y^2+3 has a local minimum value of 3.

Explanation / Answer

(a) True

(b)False

(c)True

(d)True

(f)False

(g)False

(h)True

(i)False

(j)True

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