Chapter 4.5, Problem 45E

5. The revenue function for a school group selling n cookies is given by R(n) = 2n, and the total cost function is given by C(n) = 45+0.20n a) Determine a simplified equation for the profit function, P(n). b) Determine the number of cookies that need to be sold for the school group to break even.

Pls help ASAP

Pls help ASAP

1. If f(x)=x²-5 and g(x)=5-x³, determine a simplified equation for h(x) = f(x)g(x).

Pls help ASAP

Pls help ASAP

Question 1. Prove that the function f(x) = 2; f: (2,3] → R, is not uniformly continuous on (2,3].

Consider the cones K = = {(x1, x2, x3) | € R³ : X3 ≥√√√2x² + 3x² M = = {(21,22,23) (x1, x2, x3) Є R³: x3 > + 2 3 Prove that M = K*. Hint: Adapt the proof from the lecture notes for finding the dual of the Lorentz cone. Alternatively, prove the formula (AL)* = (AT)-¹L*, for any cone LC R³ and any 3 × 3 nonsingular matrix A with real entries, where AL = {Ax = R³ : x € L}, and apply it to the 3-dimensional Lorentz cone with an appropriately chosen matrix A.

I am unable to solve part b.