The function y = Ce5t + e² Solves the differential equation 3" + 6y' = −5y+5e². false true 2 Consider the differential equation with initial condition (0,0). First solve this to find y(x), and then use it to answer this question: What is y(T)? (6) Using Newton's Method to solve -- cos(x) = 0, with an initial approximation of 20 = 2, the value of 3 (to 4 decimal places is: ±3 ±2 0 -15.4621 -0.7419 -0.6329 O-2.2471 13 After 75 days, a radioactive substance has decayed to 26.7% of its original amount. After an additional 75 days, what percent of its original amount will have decayed to? 2 If the local Linear approximation of f(x) = -3 sin x + e-3 at x = 2 is used to find the approximation for f(2.1), then the % error of this approximation is 26.7% 19.6% 13.4% 7.1% For the differential equation: 3 cos(2) √√2+1' what is the slope at (0,2)? ○ 3 ○1 ⑤ A certain wolf population, p(t), is governed by the differential equation: 0.5p(1 - p), where p is the population (in thousands), and t is the time in years. If the current size of the population is 0.7 (i.e. p(0)=0.7), use Euler's Method with At 0.5 to predict the wolf population 2 years from now. 923 839 901 873 Between 12% and 18% Between 6% and 12% Greater than 18% Between 0% and 6% Using the Simpson's Rule with a step size of 0.5, an approximation for the integral fxdx=7655.06. false true
The function y = Ce5t + e² Solves the differential equation 3" + 6y' = −5y+5e². false true 2 Consider the differential equation with initial condition (0,0). First solve this to find y(x), and then use it to answer this question: What is y(T)? (6) Using Newton's Method to solve -- cos(x) = 0, with an initial approximation of 20 = 2, the value of 3 (to 4 decimal places is: ±3 ±2 0 -15.4621 -0.7419 -0.6329 O-2.2471 13 After 75 days, a radioactive substance has decayed to 26.7% of its original amount. After an additional 75 days, what percent of its original amount will have decayed to? 2 If the local Linear approximation of f(x) = -3 sin x + e-3 at x = 2 is used to find the approximation for f(2.1), then the % error of this approximation is 26.7% 19.6% 13.4% 7.1% For the differential equation: 3 cos(2) √√2+1' what is the slope at (0,2)? ○ 3 ○1 ⑤ A certain wolf population, p(t), is governed by the differential equation: 0.5p(1 - p), where p is the population (in thousands), and t is the time in years. If the current size of the population is 0.7 (i.e. p(0)=0.7), use Euler's Method with At 0.5 to predict the wolf population 2 years from now. 923 839 901 873 Between 12% and 18% Between 6% and 12% Greater than 18% Between 0% and 6% Using the Simpson's Rule with a step size of 0.5, an approximation for the integral fxdx=7655.06. false true
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
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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Question
Transcribed Image Text:The function y = Ce5t + e² Solves the differential equation 3" + 6y' = −5y+5e².
false
true
2
Consider the differential equation with initial condition (0,0). First solve this to
find y(x), and then use it to answer this question: What is y(T)?
(6)
Using Newton's Method to solve -- cos(x) = 0, with an initial approximation of 20 = 2, the
value of 3 (to 4 decimal places is:
±3
±2
0
-15.4621
-0.7419
-0.6329
O-2.2471
13
After 75 days, a radioactive substance has decayed to 26.7% of its original amount. After an
additional 75 days, what percent of its original amount will have decayed to?
2
If the local Linear approximation of f(x) = -3 sin x + e-3 at x = 2 is used to find the
approximation for f(2.1), then the % error of this approximation is
26.7%
19.6%
13.4%
7.1%
For the differential equation:
3 cos(2)
√√2+1'
what is the slope at (0,2)?
○ 3
○1
⑤
A certain wolf population, p(t), is governed by the differential equation:
0.5p(1 - p), where
p is the population (in thousands), and t is the time in years. If the current size of the population
is 0.7 (i.e. p(0)=0.7), use Euler's Method with At 0.5 to predict the wolf population 2 years
from now.
923
839
901
873
Between 12% and 18%
Between 6% and 12%
Greater than 18%
Between 0% and 6%
Using the Simpson's Rule with a step size of 0.5, an approximation for the integral
fxdx=7655.06.
false
true
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