Answer to Question #51482 in Calculus for ALEXANDER

Question

(a) Given the Cobb Douglas production function
Y= AK^(2/3) L^(2/3)
Where, Y= Output, A=level of technology, K = capital, L= Labour
Find
The marginal product of labour (MPL)
The marginal product of capital (MPK)
Given y = (〖3x〗^2+5x)/(x^3+10x^2 ), find dy/dx
Compute ∫_3^7▒(2x+5)dx