Question

Exercise 1.3.52: Let P(t) be the population of a certain species of insect at time t, where t is measured in days. Suppose a population of 30,000 insects grows to 150,000 in 3 days. a) Find the growth constant for this population. b) Write the corresponding initial value problem (DE and IC) and its solution. c) How long will it take for the population to triple?

Answer #1

The size P of a certain insect population at time t (in days)
obeys the function
P(t)=600e0.06t.
(a) Determine the number of insects at
t=0 days.
(b) What is the growth rate of the insect
population?
(c) What is the population after 10 days?
(d) When will the insect population reach
720?
(e) When will the insect population
double?

The size P of a certain insect population at time t (in days)
obeys the function P(t)=100e^0.07t
(a) Determine the number of insects at t=0 days.
(b) What is the growth rate of the insect population?
(c) What is the population after 10 days?
(d) When will the insect population reach 120?
(e) When will the insect population double?

3. Consider the region R in the first quadrant enclosed by y =
x, y = x/2, and y = 5.
(a) Sketch this region, making sure to identify and label all
points of intersection.
(b) Find the area of R, using the method of your choice.
(c) Using the method of your choice, set up an integral for the
volume of the solid resulting from rotating R around the y-axis. Do
NOT evaluate the integral.
(d) Using the method...

Assessment
Identify the Variables!
In rotational kinematics - the variables are:
t = time, which is measured in s (for seconds)
θ = angle = what angle did the object turn thru, usually
measured radians
ωO = initial angular velocity = the rotational speed
of the object at the beginning of the problem, which is measured in
rad/s
ω = final angular velocity = the rotational speed of the object
at the end of the problem, which is measured in...

In this exercise, you will analyze the supply-demand equilibrium
of a city under some special simplifying assumptions about land
use. The assumptions are: (i) all dwellings must contain exactly
1,500 square feet of floor space, regardless of location, and (ii)
apartment complexes must contain exactly 15,000 square feet of
floor space per square block of land area. These land-use
restrictions, which are imposed by a zoning authority, mean that
dwelling sizes and building heights do not vary with distance to...

1) Describe an example of each of the following that may be
found of your kitchen: Explain how your choice falls into this
category, and if there is a chemical name or symbol for it, provide
that as well. Provide a photo of your example with your ID card in
it. a) a compound b) a heterogeneous mixture c) an element (symbol)
Moving to the Caves… Lechuguilla Caves specifically. Check out this
picture of crystals of gypsum left behind in...

Actually a HISTORY question: what tactics does Einhard use to
portray Charlemagne in "Life of Charlemagne" and what tactics does
Procipius use to describe Justinian in a positive light in the
"Nika Riots"? Ive posted both excerpts.
"Life of Charlemagne"
Charles the Great, (Charlemagne in French) reigned 768-814 as
king of the Franks and the most important ruler of the Carolingian
Dynasty, conquering lands in what is now Germany, France, Spain,
and Italy. On Christmas Day 800 C.E., Pope Leo...

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INNOVATION
Deep Change: How Operational Innovation Can Transform Your
Company
by
Michael Hammer
From the April 2004 Issue
Save
Share
8.95
In 1991, Progressive Insurance, an automobile insurer based in
Mayfield Village, Ohio, had approximately $1.3 billion in sales. By
2002, that figure had grown to $9.5 billion. What fashionable
strategies did Progressive employ to achieve sevenfold growth in
just over a decade? Was it positioned in a high-growth industry?
Hardly. Auto insurance is a mature, 100-year-old industry...

Please read the article and answear about
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Determining the Value of the Business
After you have completed a thorough and exacting investigation,
you need to analyze all the infor- mation you have gathered. This
is the time to consult with your business, financial, and legal
advis- ers to arrive at an estimate of the value of the business.
Outside advisers are impartial and are more likely to see the bad
things about the business than are you. You should...

The Business Case for Agility
“The battle is not always to the strongest, nor the
race to the swiftest, but that’s the way to bet
’em!” —C. Morgan Cofer
In This Chapter
This chapter discusses the business case for Agility,
presenting six benefits for teams and the enterprise. It also
describes a financial model that shows why incremental development
works.
Takeaways
Agility is not just about the team. There are
product-management, project-management, and technical issues beyond
the team’s control. Lean-Agile provides...

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