homework3.pdf i need this within 12 hours.$15-$25 is mu budget.EGEN 102

Introduction to Engineering Computations and Applications

Spring 2016

Homework #3

Tuesday, February 9

You have been hired by the secretive -society to analyze a new strategy for calculating the value of

through the development of a Python program. Here is the basic format of the strategy provided to you

by the -society. Begin by recognizing that the area of a unit square (height = 1.0, width = 1.0) is 1.0 and

the area of a quarter circle, which lies entirely within the unit square is /4. Now imagine that we

choose a random point ( , ) within the unit square. The probability of that random point being within

4

the quarter unit circle is ≈ 79% because 79% of the area of the unit square is covered by the quarter

unit circle! Now, if we choose ‘many’ random points, we can estimate the value of because 4 ×

( ℎ ) = . Hence, we just need to select ‘many’ or random points (i.e., a

point is two random floating point numbers between 0-1.0, see numpy.random.random()), then loop

through the points and check to see if each point is inside the quarter unit circle (i.e., is � 2 + 2 <
1.0), and then count the fraction of the points inside the quarter unit circle. The figure below shows
3000 random points on the unit square – the red points are inside the quarter unit circle and the blue
points are outside.
You should write a memo to the -society that summarizes your analysis of the feasibility of this
algorithm. The report should include a figure, which may be generated using Excel or matplotlib, that
shows the accuracy of the proposed strategy on the y-axis (accuracy = | − |) versus the
number of random points used on the x-axis. The Python program should gain accuracy with more
points. The head of the -society casually mentioned that you should try, “maybe 100, or 1000, or
10,000 random points” to see how the number of points impacts the accuracy. You consider possibly
trying one or two different numbers of random points beyond those three values. You have also been
reminded to include your Python code in the appendix of the memo/report.
Purchase answer to see full
attachment

#### Why Choose Us

- 100% non-plagiarized Papers
- 24/7 /365 Service Available
- Affordable Prices
- Any Paper, Urgency, and Subject
- Will complete your papers in 6 hours
- On-time Delivery
- Money-back and Privacy guarantees
- Unlimited Amendments upon request
- Satisfaction guarantee

#### How it Works

- Click on the “Place Order” tab at the top menu or “Order Now” icon at the bottom and a new page will appear with an order form to be filled.
- Fill in your paper’s requirements in the "
**PAPER DETAILS**" section. - Fill in your paper’s academic level, deadline, and the required number of pages from the drop-down menus.
- Click “
**CREATE ACCOUNT & SIGN IN**” to enter your registration details and get an account with us for record-keeping and then, click on “PROCEED TO CHECKOUT” at the bottom of the page. - From there, the payment sections will show, follow the guided payment process and your order will be available for our writing team to work on it.