Assignment:
Q1. You are in the market for oranges. The supply equation (in millions) for oranges is : S(P)= .3p^2 +11P - 40 The demand equation is D(P) = .7p^2 +P - 1
a. How many oranges are demanded at a price of $11.50?
b. Find the equilibrium price and quantity.
Q2. F(X)= x^2 +2, G(X)= 3(x-3)^2, H(X)= 5/2x-3
Calculate:
a. g(h(r))
b. f(g(5x))
3. Using the definition of a derivative, calculate f'(x) for the following:
a. f(x)=2/x^2
Provide complete and step by step solution for the question and show calculations and use formulas.