Why Choose Us?
0% AI Guarantee
Human-written only.
24/7 Support
Anytime, anywhere.
Plagiarism Free
100% Original.
Expert Tutors
Masters & PhDs.
100% Confidential
Your privacy matters.
On-Time Delivery
Never miss a deadline.
Select either the minimum or maximum function
Select either the minimum or maximum function. Identify a task - personal or professional - that could be modeled mathematically through your chosen function. Explain how the chosen function be used in making good decisions.
Examples of tasks might be:
Make the largest garden possible using a given amount of fencing.
Configure an airplane to create the least amount of drag for an airplane in flight.
Expert Solution
Let the problem be stated as follows:
Suppose you buy 100 feet of wire fencing. What’s the largest rectangular area garden you can enclose with it?
Solution:
Let x be the width of the garden.
Let y be the height of the garden.
Then the perimeter of the rectangle must be equal to 100ft.
2x + 2y = 100
x + y = 50
y = 50 - x --------------------- > 1
Let the area be A and is given by
A = xy
using eqn(1)
A = x(50 - x)
A(x) = 50x - x2
is the model of our problem.
Now diff wrt x
For maxima/minima,
Let us check if the above x value leads to a maximum/minimum.
For that, let us find the second derivative,
diff wrt x
plugin the x value
PFA
Archived Solution
You have full access to this solution. To save a copy with all formatting and attachments, use the button below.
For ready-to-submit work, please order a fresh solution below.
