Problem 16 Lets’ find the absolute max and min of the function \[ f (x,y) = 5x-7y \] in the region bounded by \[ g(x) = x^2, h(x) = 1 \implies \\ \text{the region where } x \text{ is between } \pm 1 \]
$$ f (x,y) = 5x-7y \ = 5-7y, = 5x-7 \ y = , x =
$$
so we evaluate g(x) at each of these points. \[ g(-1) = 1\\ g(1) = 1 \\ Min: g\Big(\frac{5}{7}\Big) = 25/49 \\ Max: g\Big(\frac{7}{5}\Big) = 49/25 \\ \]