The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The
Question:
The number of yeast cells in a laboratory culture increases rapidly initially but levels off eventually. The population is modeled by the function
where t is measured in hours. At time t = 0 the population is 20 cells and is increasing at a rate of 12 cells/hour. Find the values of a and b. According to this model, what happens to the yeast population in the long run?
Transcribed Image Text:
п %3D f(0) . a f(t) 1 + be-0.7t п
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (4 reviews)
When t 0 n 20 and n 12 For the long ...View the full answer
Answered By
Nazrin Ziad
I am a post graduate in Zoology with specialization in Entomology.I also have a Bachelor degree in Education.I posess more than 10 years of teaching as well as tutoring experience.I have done a project on histopathological analysis on alcohol treated liver of Albino Mice.
I can deal with every field under Biology from basic to advanced level.I can also guide you for your project works related to biological subjects other than tutoring.You can also seek my help for cracking competitive exams with biology as one of the subjects.
3.30+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Shown is the graph of the population function P(t) for yeast cells in a laboratory culture. Use the method of Example 1 to graph the derivative P'(t). What does the graph of P' tell us about the...
-
The table gives the number of yeast cells in a new laboratory culture. (a) Plot the data and use the plot to estimate the carrying capacity for the yeast population. (b) Use the data to estimate the...
-
A graph of a population of yeast cells in a new laboratory culture as a function of time is shown. (a) Describe how the rate of population increase varies. (b) When is this rate highest? (c) On what...
-
The graph of f(x) = ax 2 + bx + c is shown in the figure. Solve each inequality. (a) f(x) < 0 (b) f(x) = 0 I 3 -y=f(x)
-
Kim and Kanye have been dating for years and are now thinking about getting married. As a financially sophisticated couple, they want to think through the tax implications of their potential union....
-
Paden, who is single and has been employed as an accountant for 27 years with Harper, Inc., lost his job due to company downsizing. His last day of employment is July 31, 2015, and Harper provides a...
-
Discuss the main recognition and measurement issues that must be considered when preparing the income statement.
-
Private companies frequently approach your consulting firm to undertake special projects and provide advice to management. As a senior consultant, one of your jobs is to quote a price for these...
-
Consider a limousine that gets m(v) = (120 - 2v) 6 mpg at speed v (in mph), the chauffeur costs $15/h, and gas is $3.50/gal. (a) Find the cost (in dollars) per mile at speed v. C(v) = (b) Find the...
-
A 120 kg crate is dragged along the horizontal ground by a 200 N force acting at an angle of 30 to the horizontal, as shown. The crate moves along the surface with a constant velocity of 0.5 m s 1 ....
-
If, in Example 4, one molecule of the product C is formed from one molecule of the reactant A and one molecule of the reactant B, and the initial concentrations of A and B have a common value [A] =...
-
The table gives the population of the world P(t), in millions, where t is measured in years and t = 0 corresponds to the year 1900. (a) Estimate the rate of population growth in 1920 and in 1980 by...
-
A competitive firm's production function is \(q=\) \(2 L K\). What is its marginal revenue product of labor?
-
Using information from the Application "Flight Insurance," calculate the price of fair insurance if the probability were as high as 0.00000077 , the frequency in 2001 when many people died in the...
-
(a) What is the potential at a point \(50 \mathrm{~cm}\) away from a point charge with a magnitude of \(3.0 \mathrm{nC}\) ? (b) How would the potential change if you measure the potential at a point...
-
An electron and a proton are held \(2 \mathrm{~m}\) apart. The midpoint between the electron and the proton sets the origin of a coordinate system, with the \(x\) axis pointing toward the proton. (a)...
-
Think about the community where you live for a moment. Identify a quality-of-life problem in your community related to criminal behavior that may be a fitting target for a community prosecution...
-
Two point charges \(q_{1}=+\mathrm{Q}\) and \(q_{2}=-3 \mathrm{Q}\) are placed along the \(x\)-axis, \(10 \mathrm{~cm}\) apart \(\left(q_{1} ight.\) at the origin, \(q_{2}\) at \(x=+10...
-
In recent years, about twenty states have passed so-called medical marijuana laws. Typically, these laws permit individuals to lawfully purchase marijuana from licensed stores, provided they have a...
-
Borrowing costs should be recognised as an expense and charged to the profit and loss account of the period in which they are incurred : A. If the borrowing costs relate to qualifying asset B. If the...
-
Use the Midpoint Rule with the given value of n to approximate the integral. Round the answer to four decimal places. x sin?x dx, 3 4
-
With a programmable calculator or computer (see the instructions for Exercise 5.1.9), compute the left and right Riemann sums for the function with n = 100. Explain why these estimates show that f(x)...
-
Express the limit as a definite integral on the given interval. eti -, [0, 1] lim 2 3 00 i=1
-
Following are the issuances of stock transactions. 1. A corporation issued 8,000 shares of $20 par value common stock for $192,000 cash. 2. A corporation issued 4,000 shares of no-par common stock to...
-
A client calls in to sell their entire long position (300 shares) of AAPL and wanted you to walk them through the process. While going through BPROS you notice they are also short 3 calls contracts...
-
You expect an after-tax rate of return of 28% on your investments. A target company earns $263,000 (after taxes, per year). What is the maximum amount you would be willing to pay for this company?
Study smarter with the SolutionInn App