rate of change yet again

The effectiveness of E (on a scale from 0-1) of a pain killing drug t hours after entering the bloodstream is given by E= 1/27(9t+3t^2-t^3) o< or = t < or = to 4.5 Find the average rate of change E on the indicated itervals and compare this rate with the ibstantaneous rates of change at the end points of the intervals a.) [1.2] b.) [1,2]

Motion Under Gravity

The height s (in feet) at the time t (in seconds) of a silver dollar dropped from the top of the Washington monument is s=-16t+555 a.) Find the average velocity on the interval [2,3] b.) FInd the instantaneous velocity when t=2 and when t=3 c.) how long will it take the dollar to hit the ground? d.) Find the velocity of the dollar when it hits the ground.

linear programming problem

I do not understand how to do this problem:1. Use the constraints below to solve the linear programming problem: x + 2y < 40, 2x + y <40, x + y <10, x > 0, y >0 (The <> symgols above should have underscores below them) The problem is: minimize z = x + y The corner points are: (0, 10), (0, 20), (40/3, 40/3) (20, 0), (10, 0).

Logic problem

Let p represent a statement having a truth value T, q represent a statement having a truth value F, and r represent a statement having a truth value T. Find the truth value for the following: p^(~q) p^q^r p^(qVr) ~(p^q) (~p)V(~q)

set problem

If U = {a,b,c,d,e,f} A = {a,b} B = {-1, 0, 11} Find A' Find B' Find (A U B)' Find (A ∩ B)