
WATER RESOURCES ENGINEERING
3rd Edition
ISBN: 9781119490579
Author: Mays
Publisher: WILEY
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4th Order Rurka-Kutta Method
This assignment will expand your skills on using Excel to perform some numerical
analyses and plot your results. It is a means to familiarize you more with basic features in
the spreadsheet.
Preliminaries:
a. Start a new file called R-K.xlsx (for this exercise, you may use the work you did
in class but please be careful not to delete what you already have)
b. Plan ahead
Exercise 1:
Using the 4" Order Ruga-Kutta Method that we recently learned, evaluate the following
ordinary differential equation (ODE):
dx
f(t, x) =
= x+t²
dt
At the initial position, X= 0, the time is = 0.1 minutes. Using a step size of, h = 0.05,
what is the time spent to reach a position that is equal to 17 (Hint: use a O and b 1)
Exercise 2
Using the 4th Order Ruga-Kutta Method, solve the following problem:
The concentration of a certain non-reactive (conservative) chemical is given as a function
of time by:
de
f(t,c) =
= 30-3c
Where c is the concentration and t is time. At the initial…
What percentage of all communication is screened out or changed by the receiver?”
In testing a certain kind or truck tire over rugged terrain, it is found that 20% of the trucks fail to complete the test run without a blowout. Of the next 13 trucks tested, find the probability that (a) from 2 to
6 have blowouts, (b) fewer than 4 have blowouts, and (c) more than 5 have blowouts.
Click here to view page 1 of the table of binomial probability sums.
Click here to view page 2 of the table of binomial probability sums.
(a) The probability that from 2 to 6 trucks have blowouts is
(Round to four decimal places as needed.)
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