Find the absolute extrema for f(x,y) = 2x? – 4x + y? -4y +2 defined on the region ounded by x = 0, y = 2, y = 2x. (Draw picture of region.)

Solve correctly please

Question 1 A young man borrows $50,000 to buy a car. The lender charges an annual interest of 2% compounded yearly. The young man pays $k annually towards the loan. (a) Show that the ODE describing this loan is as follows: ds S - k, where S=remaining loan ($), t-time (years) = dt 50 (b) By solving the ODE in (a), and applying the relevant conditions, determine the annual payment ($k), corrected to the nearest cent, required to pay off the loan completely in 5 years. (c) Write down the equation of S in terms of t, and sketch the graph of S vs t.

find the maximum and minimum values of f on the set R.