Homework Statement
A baseball is thrown upward from a height of 2m with an initial velocity of 10m/s. Determine its maximum height.
Homework Equations
S(0) = 2m
S'(0) = 10m/s
The Attempt at a Solution
S'(t) = -32t + 10
S(t) = -16t^2 + 10t + 2
I know that if you...
Homework Statement
A show company wants to determine how many shoes to manufacture in order to maximize its profit. The cost for making x shoes is given by C(x) = 66x + 3690. The price of a single pair of shoes is given by p(x)=(3690/x)+94-(7/17)x, where x is the total number of shoes made...
Homework Statement
A wire that is 7 feet long is to be used to form a square and a circle. How much of the wire should be used for the square and how much for the circle to enclose the maximum area?
Possible Solutions:
a. o feet for the square and 7 feet for the circle
b. pi/7 feet for...
Homework Statement
An open box with a square base is to be constructed from 3 square feet of material. What dimensions will produce a box with maximun volume?
Homework Equations
v = l * w * h
The Attempt at a Solution
any other formulas involved.. ?
help... and thanx!
1. A drug that stimulates reproduction is introduced into a colony of bacteria. After t minutes, the number of bacteria is given approximately by N() = 1500 + 12t^2 - t^3, 0≤t≤50 At what value of t is the number of bacteria maximal?
2. Possible answers
a. 10min b. 9min c.8min d.0min...