Census data for the United States between 1790 and 1950 are given in Table. Construct a logistic population model using the data from 1790, 1850, and 1910. (b) Construct a table comparing actual census population with the population predicted by the model in part (a). Compute the error and the percentage error for each entry pair.

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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Census data for the United States between
1790 and 1950 are given in Table. Construct a logistic
population model using the data from 1790, 1850, and 1910.
(b) Construct a table comparing actual census population
with the population predicted by the model in part (a).
Compute the error and the percentage error for each entry
pair.

O (173) Life Is Beautiful Telugu O x
O Meet - mxh-xxia-eex
O X
A Tutorial 2
b My Tutoring | bartleby
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i classroom.google.com/c/MjcONTU4MDk1ODI0/a/MjgONjA5Mjl4MjA1/details
* ES
E Apps M Gmail
YouTube
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GE News
* Translate
is applied to an LR-series circuit in which the inductance is 20 henry and the resistance is 2 ohm. Find
the current i(t) if i(0) = 0.
POF vamsi Vignesh - Tutesheet2.pdf
Open with ▼
Problem 8: A 100-volt electromotive force is applied to an RC-series circuit in which the resistance
is 200 ohms, and the capacitance is 10-4 farad. Find the charge q(t) on the capacitor if q(0) = 0. Find
the current i(t).
O Tutorial
Assigned
Problem 9: The number N(t) of people in a community who are exposed to a particular
advertisement is governed by the logistic equation. Initially, N(0) = 5500, and it is observed that
N(1) = 1000. Solve for N(t) if it is predicted that the limiting number of people in the community
Dr. Rishi Asthana
100 points
Vignesh - T.
who will see the advertisement is 50000.
Problem 10: (a) Census data for the United States between
1790 and 1950 are given in Table. Construct a logistic
population model using the data from 1790, 1850, and 1910.
(b) Construct a table comparing actual census population
with the population predicted by the model in part (a).
Compute the error and the percentage error for each entry
pair.
Year
Population (in millions)
2 Class comme
dd or create
1790
3.929
1800
5.308
Add a class comm
1810
7.240
1820
9.638
Turn in
1830
12.866
1840
17.069
1850
23.192
1860
31.433
1870
38.558
Problem 11: Find the orthogonal trajectories of the
following curves:
1880
50.156
1890
1900
62.948
75.996
mments
(a) family of parabolas y² = 4ax.
(b) The power function y = cx*
(c) Family of sinosuids y = c sinx
(d) Family of hyperbolic curves y =
1910
91.972
to Dr. Rishi Asthana
1920
105.711
1930
122.775
1940
131.669
1950
150.697
dy
Problem 12: Find the differential equation of the given family y = c1e* by computing 2 and
dx
eliminating c, from this equation. Then find the orthogonal trajectories of the family. Use a graphing
utility to graph both families on the same set of coordinate axes.
~*~*~*~
Page
2 I 2
+
11:28
O Type here to search
TA
a 4») ENG
26-02-2021
...
Transcribed Image Text:O (173) Life Is Beautiful Telugu O x O Meet - mxh-xxia-eex O X A Tutorial 2 b My Tutoring | bartleby + i classroom.google.com/c/MjcONTU4MDk1ODI0/a/MjgONjA5Mjl4MjA1/details * ES E Apps M Gmail YouTube Маps GE News * Translate is applied to an LR-series circuit in which the inductance is 20 henry and the resistance is 2 ohm. Find the current i(t) if i(0) = 0. POF vamsi Vignesh - Tutesheet2.pdf Open with ▼ Problem 8: A 100-volt electromotive force is applied to an RC-series circuit in which the resistance is 200 ohms, and the capacitance is 10-4 farad. Find the charge q(t) on the capacitor if q(0) = 0. Find the current i(t). O Tutorial Assigned Problem 9: The number N(t) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. Initially, N(0) = 5500, and it is observed that N(1) = 1000. Solve for N(t) if it is predicted that the limiting number of people in the community Dr. Rishi Asthana 100 points Vignesh - T. who will see the advertisement is 50000. Problem 10: (a) Census data for the United States between 1790 and 1950 are given in Table. Construct a logistic population model using the data from 1790, 1850, and 1910. (b) Construct a table comparing actual census population with the population predicted by the model in part (a). Compute the error and the percentage error for each entry pair. Year Population (in millions) 2 Class comme dd or create 1790 3.929 1800 5.308 Add a class comm 1810 7.240 1820 9.638 Turn in 1830 12.866 1840 17.069 1850 23.192 1860 31.433 1870 38.558 Problem 11: Find the orthogonal trajectories of the following curves: 1880 50.156 1890 1900 62.948 75.996 mments (a) family of parabolas y² = 4ax. (b) The power function y = cx* (c) Family of sinosuids y = c sinx (d) Family of hyperbolic curves y = 1910 91.972 to Dr. Rishi Asthana 1920 105.711 1930 122.775 1940 131.669 1950 150.697 dy Problem 12: Find the differential equation of the given family y = c1e* by computing 2 and dx eliminating c, from this equation. Then find the orthogonal trajectories of the family. Use a graphing utility to graph both families on the same set of coordinate axes. ~*~*~*~ Page 2 I 2 + 11:28 O Type here to search TA a 4») ENG 26-02-2021 ...
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