Question

(a) Find f(x,y), fy(x,y), fx(1,3), and fy(-2,4) for the given function. If
z=f(x,y) = 3x3y2 - x2y3 + 4x +9
(b) A firm estimates that it can sell Q units of its product with an advertising
expenditure of x thousand dollars where
Q = Q(x) = -x2 + 600x + 25
i) Over what level of advertising expenditure is the number of units of
product sold increasing?
ii) Over what level of advertising expenditure is the number of units of
product sold decreasing?
Determine the location and values of the absolute maximum and absolute
nimum for the given function:
f(x) = (-x + 2)4, where 0 x <3​

Answer 1

Step-by-step explanation:

part 1&2