1. Give a specific example with a clear explanation of a double integral where it is much easier to integrate using dx dy (that is dx first and then dy) instead of integrating using dy dx.
2. Given f(x, y) = e xy subject to the constraint x 3 + y 3 = 16. a)

a) Explain why the function must not have a maximum value subject to the constraint above.

b) Explain why the function must have a minimum value subject to the constraint up above.