Answer all the question given below:
1. Given the demand curve D(x) = (x-7)^2 and the supply curve S(x) = x^2 Only consider values in the first quadrant, from x= 0 to 7 Find the following: a) the equilibrium point (as ordered pair) b) the consumers surplus at the equilibrium point c) the producers surplus at the equilibrium point
2.Find fx and fy for f(x) = e^(5x+7y)
3.Find the 2nd derivatives: fxx; fyy; fyx and fxy for f(x,y) = x(^5)y(^3)-2(x^2) y