The concentration of pollutant bacteria c in a lake decreases according to c = 75 e 1.5t

Question:

The concentration of pollutant bacteria c in a lake decreases according to c = 75e^–1.5t + 20 e^{– 0.075t}

Determine the time required for the bacteria concentration to be reduced to 15 using

(a) The graphical method and

(b) Using the Newton-Raphson method with an initial guess of t = 6 and a stopping criterion of 0.5%. Check your result.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Numerical Methods For Engineers

ISBN: 9780071244299

5th Edition

Authors: Steven C. Chapra, Raymond P. Canale

See More Books

Question Posted: Nov 17, 2011 10:44 AM

See More Questions

The concentration of pollutant bacteria c in a lake decreases according to: c = 75e^{-1.5t}+20e^{-0.075t} Determine the time required for the bacteria concentration to be reduced to 15 using the...
(a) Start with an initial guess of x = 1 and y = 1 and apply two applications of the steepest ascent method to (x, y) from Prob. 14.4. (b) Construct a plot from the results of (a) showing the path of...
A bacteria population is 4000 at time t = 0 and its rate of growth is 1000 . 2' bacteria per hour after t hours. What is the population after one hour?
Horizon BP in Antelope Park, Alaska, has noticed that utility bills are substantially higher when the average monthly temperature is colder. The only thing in the shop that uses natural gas is the...
Eric Parker has been studying his department's profitability reports for the past six months. He has just completed a managerial accounting course and is beginning to question the company's approach...
Arthur has a capital balance of $80,000 and E . Joseph has a capital balance of $100,000 in their partnership as of June 30 . On July 1 , the two partners agree to accept M. Alice as a partner in...
The data in Table 2.9 is due to Anscombe (1973). The purpose of this exercise is to demonstrate how plotting data can reveal important information that is not evident in numerical summary statistics....
You are a financial analyst at a firm that has been returning cash to shareholders through stock repurchases. You want to determine how the level of repurchases will vary as a function of the sales...
Two rubber balls undergo an elastic collision. Ball 1 has a mass of 10 kg and an initial velocity of 5 m/s in the positive x direction. Ball 2 has a mass of 10 kg and is stationary. What is the final...
Affordable Lawn Care, Inc., provides lawn-mowing services to both commercial and residential customers. The company performs adjusting entries on a monthly basis, whereas closing entries are prepared...
In environmental engineering (a specialty area in civil engineering), the following equation can be used to compute the oxygen level c (mg/L) in a river downstream from a sewage discharge : c = 10 ...
In ocean engineering, the equation for a reflected standing wave in a harbor is given by ? = 16, t = 12, ? = 48 : Solve for that lowest positive value of x if h = 0.5h 0 . 2 2ntu ho sin h = COS
Compare the sum of squared residuals for the lines in Examples 1 and 3. Approach Use a table to compute residuals 2 using the predicted values of y, y, for the equations in Examples 1 and 3. Data...
As a healthcare leader you are sensing that there is an issue with trust among your teams. Why is trust important in leadership for healthcare? Describe the impact of trust on workplace...
If a shipper loads and counts a shipment and the carrier's driver is not allowed to view the loading and the shipper does not allow the carrier to sign "shipper's load and count," what is the...
BMW's Supply Chain Management As the automotive industry has been affected during the last two years, explain in detail how BMW, in particular, has reformulated its strategic supply chain management...
Which are the benefits of the MAS Program? A. Easy-to-use online platforms help you quickly identify qualified MAS contractors that can meet your agency's requirements. B. Is designated as Spend...
I work for a software development company, and we recently started a new project for a client. The project involved multiple teams across different departments, including design, development, and...
Heesham Broussard obtained counterfeit money instruments. To distribute them, he used account information and numbers on compromised FedEx accounts procured from hackers. Text messages from Broussard...
For the data in Exercise 17-19, use the FIFO method to summarize total costs to account for, and assign these costs to units completed and transferred out, and to units in ending work in process....
Each of the following cost items pertains to one of these companies: Star Market (a merchandising sector company), Maytag (a manufacturing-sector company), and Yahoo! (a service-sector company): a....
Suppose X has a hypergeometric distribution with N = 20, n = 4, and K = 4. Determine the following: (a) P(X = 1) (b) P(X =4) (c) P(X =2 (d) Determine the mean and variance of X.
Suppose X has a hypergeometric distribution with N = 10, n = 3, and K = 4. Sketch the probability mass function of X.
Determine the cumulative distribution function for X in Exercise 3-88.
Create a C++ program that concatenates 'n' number of strings input by the user, while adhering to the following specifications. Note that the strcat() function cannot be used. 1. The program asks the...
What role do ethnomethodological approaches play in uncovering the underlying norms and assumptions that govern everyday social interactions, and how do these insights inform our understanding of...
Consider f(x) = (x1 + x). Given the iterate xk = [H] and the search direction dk = show that " dk is a descent direction and find the minimizer of min f(xk+adk). a0

The concentration of pollutant bacteria c in a lake decreases according to c = 75 e 1.5t

Question:

Step by Step Answer:

a This problem can be solved by determining the root of ...View the full answer

Numerical Methods For Engineers

Students also viewed these Numerical Analysis questions