Suppose that dP/dt = 0.15P(t) represents a mathematical model for the growth of a certain cell culture,
Question:
Suppose that dP/dt = 0.15P(t) represents a mathematical model for the growth of a certain cell culture, where P(t) is the size of the culture (measured in millions of cells) at time t > 0 (measured in hours). How fast is the culture growing at the time when the size of the culture reaches 2 million cells?
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 60% (10 reviews)
It is given that dPdt 015Pt where Pt is the size of the cultu...View the full answer
Answered By
Pranav Sikerwar
Axis Techsoft Solutions
Content Developer, 2011-12
Developed ppt and flash files of educational content of Maths and Physics for IIT Alumni Startup.
Academic Manager,
Learnix Edutech, 2012-17
Developed collaborations with Various schools in providing e-solutions related to Maths, Physics, Aptitude and analytical skills.
Advanced Maths Faculty,
Study Vault, DPS Indirapuram
Taught Maths for competition level for students of 9th to 12th.
-IIT-JEE advanced level for Class 11th-12th
-Olympiad/NTSE/KVPY preparation for Class 9th-10th
0.00
0 Reviews
10+ Question Solved
Related Book For
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1305965720
11th edition
Authors: Dennis G. Zill
Question Posted:
Students also viewed these Mathematics questions
-
Consider the differential equation dP/dt = kP 1+c , where k > 0 and c 0. In Section 3.1 we saw that in thecase c = 0 the linear differential equation dP/dt = kP is a mathematical model of a...
-
In the following figure (a) suppose that the y-axis and the dashed vertical line x = 1 represent, respectively, the straight west and east beaches of a river that is 1 mile wide. The river flows...
-
(a) Solve the DE in Problem 28 subject to y(1) = 0. For convenience let k = v r /v s . (b) Determine the values of v s for which the swimmer will reach the point (0, 0) by examining lim x 0 + y(x) in...
-
A sample of adults and teenagers were asked about the type of movies they like best. The collected data is grouped in the below table: Comedy Action Science Fiction Total Teenagers 40 60 50 150...
-
THQ Inc. is among the biggest video game makers in the world. Assume that THQ made the following announcement: Required 1. Does the reason given for the change in year-end indicate that this change...
-
The following events occurred after the end of the fiscal year but before the auditor issued a report. Which event would not require disclosure in the financial statements? a. Sale of a bond or...
-
Create an N2 Diagram for each of the following Mission Systems using Figure 8.11 as a template create identifiers for each interface. Annotate each box with bulleted contents. a. Fast food restaurant...
-
The SEC is trying to get companies to notify the investment community more quickly when a material change will affect their forthcoming financial results. In what sense might a financial manager be...
-
There is an obvious direct correlation between the rise in the number of Americans without healthcare insurance and the volume of uncompensated care provided by the medical industry. The Health and...
-
1. When comparing performance during the first five months of 2017 with performance in 2016, which warehouse shows the most improvement? 2. When comparing performance during the first five months of...
-
Fill in the blank and then write this result as a linear first-order differential equation that is free of the symbol c 1 and has the form dy/dx = f (x, y). The symbol c 1 represents a constant. 1....
-
The snowplow problem is a classic and appears in many differential equations texts, but it was probably made famous by Ralph Palmer Agnew: One day it started snowing at a heavy and steady rate. A...
-
What are the flaws of using S-curves to determine the true status of an ongoing project?
-
Suppose that an investor expects to receive fresh money in the amounts of 8 M, M.... Mr at the beginning of each of the next T months. The objective is to make an investment plan that maximizes the...
-
(b) (c) A???? (a) Explain what you understand by the term 'time value of money' and how this assists investors in making choices for capital investment decisions. (d) Brownie Limited is considering...
-
12) Your firm is considering an investment that will cost $920,000 today. The investment will produce cash flows of $450,000 in year 1, $270,000 in years 2 through 4, and $200,000 in year 5. The...
-
1.) Two inductors each have an inductance of 2H, the mutual inductance between them is M=0. Calculate the inductance if a) they are connected together correctly in parallel b) they are connected...
-
Question 4: Security Selection using SML The chart below is the security market line for a particular stock market. M represents the market portfolio i.e. all shares in that market, A and B are...
-
We see the constellations as distinct groups of stars. Discuss why they would look entirely different if viewed from some other location in the universe, far distant from Earth.
-
Determine whether the lines are parallel, perpendicular, or neither. 2x + 3y = -12, 2y - 3x = 8
-
Discuss how you would fix up each of the following functions so that Theorem 7.3.2 could be used directly to find the given Laplace transform. Check your answers using (16) of this section. (a) {(2t...
-
(a) Assume that Theorem 7.3.1 holds when the symbol a is replaced by ki, where k is a real number and i 2 = -1. Show that {te kti } can be used to deduce (b) Now use the Laplace transform to solve...
-
Fill in the blanks. The vector is a solution of for k = __________. X = k (5) 4.
-
Assume that management wants wage concession from its counterpart labor union. Explain why this often leads to disputes. Suppose management gives up some of its future negotiating power by subjecting...
-
Why have you chosen this nursing Field of Specialization or Major? What influenced you in selecting your intended major of study and what goal(s) have you set for the future?
-
What are logical fallacies and how can they affect our decision-making?
Study smarter with the SolutionInn App