
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Transcribed Image Text:III
The function y = Ce-10 Solves the differential equation 3"-7=-6y - 60.
true
false
6 of 8
1 of 8
Using Newton's Method to solve -3x-cos(x) = 0, with an initial approximation of z₁ =
(to 4 decimal places is:
the value of
2 of 8
Consider the differential equation In = 1 with initial condition (e, 1). First solve this to find y(2), and
then use it to answer this question: What is y(e)?
2e
○ 1
○ e
2
-0.3332
O-0.3168
-0.6948
1.1394
7 of 8
If the local Linear approximation of f(x)=4sin x+e at = -1 is used to find the approximation for
f(-1.1), then the % error of this approximation is
Between 0% and 8%
Between 16% and 24%
O Greater than 24%
Between 8% and 16%
3 of 8
After 45 days, a radioactive substance has decayed in 55.1% of its original amount. After an additional 45
days, what percent of its original amount will it have decayed to?
30.4%
27.6%
24.7%
55.1%
For the differential equation: +1, what is the slope at (0,2)?
01
○ 4
○ 2
8 of 8
Using the Simpson's Rule with a step size of 1, an approximation for the integral de 30852,
true
Ofalse
4 of 8
=
A certain wolf population, p(t), is governed by the differential equation:
5 of 8
0.1p(1 - p), where p is the
population (in thousands), and t is the time in years. If the current size of the population is 0.4 (i.e. p(0) = 0.4
), use Euler's Method with At=0.5 to predict the wolf population 2 years from now.
436
449
412
424
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