The demand function for a good is dq 35 - q2 and the

Question

Question 1- Find the area between f(x) = x2 - 4 and the x-axis over the interval [2, 3].

Question 2- Find the total area between f(x) = x² - 4 and the x-axis over the interval [0, 3].

Question 3- Find the area enclosed by the curves f(x) = x and g(x) = 6 - x².   

Question 4- Given the demand curve p = 400 - q², find the consumer surplus when 15 units are sold.

Question 5- The demand function for a good is D(q) = 35 - q² and the supply function is S(q) = 3 + q². Find the producer surplus when the market is at equilibrium.