Mathematics
30.04.2020 16:50
221
454
6
Solved by an expert
Find the linear approximation of the function f(x) = β4-x at a = 0 and use it to
Find the linear approximation of the function f(x) = β4-x at a = 0 and use it to approximate the numbers β3.9 and β3.99 ?
Show Answers
leilaneedshelp3395
4,8(83 marks)
1.9975
Step-by-step explanation:
The computation of the linear approximation of the given function is shown below:
L(x) = 2 - 1 Γ· 4(x)
As we are looking for β3.9
So here
x = 0.1
So
= 4 - 0.1
= 3.9
Now
L(0.1) = f(3.9) = 2 - (0.1 Γ· 4)
= 1.975
now
substitute the x = 0.01
Then
L(0.01) = f(3.99) = 2 - (0.01 Γ· 4)
= 1.9975
We simply applied the above equations
juliannabartra
4,5(19 marks)
65 and 2 are wsys too your welcome
Popular Questions about the subject: Mathematics
Below is a stem and leaf plot of the amount of money spent on their last haircut....
Mathematics
07.07.2022 10:07
Suppose 60% of homes in miami have a swimming pool and 30% have both a swimming...
Mathematics
29.03.2023 12:54
In order to use the t distribution, we must know the population standard deviation....
Mathematics
20.03.2022 02:08
C. two sculptures are similar. the height of one sculpture is four times the...
Mathematics
08.08.2020 07:02
Give the equation of a circle with a diameter that has endpoints (-1, -7)...
Mathematics
28.07.2022 22:04
What is the value of a in the equation? 22= a/11...
Mathematics
15.04.2021 21:46
The solution to a system of linear equations is (negative 3, negative 3)....
Mathematics
26.04.2023 22:46
The school basketball team won the game. the finals score was a two digit...
Mathematics
15.06.2021 13:11
Steve is driving 440 miles to visit the grand canyon he drives at an average...
Mathematics
30.08.2020 13:15
Area of composite figures foesson 38 linda is buying an l-shaped couch for...
Mathematics
06.09.2020 05:43
New questions by subject
Farming is due to a scarcity of water...
Biology
14.04.2022 07:37
Homocysteine is bad for the heart because it can...
Health
09.12.2022 06:32
Will give brainest which of these statements is true for...
Mathematics
27.05.2020 07:29
What types of problems did european colonists face?...
History
08.02.2021 20:46
Getting it all together : an activity...
Health
29.02.2020 16:28
58 less than the product of 75 and a number is 283....
Mathematics
31.10.2022 12:32
This is what oak tree does at the movie theatre after the movie is over...
English
22.04.2022 22:47
An object has a mass of 18 grams and its volume is 2 cm3 calculate density...
Mathematics
15.02.2021 04:38
Whats 11/12 + (β7/12) in simplest form...
Mathematics
01.01.2020 23:03
What is the process by which water changes from liquid form to an atmospheric...
Chemistry
13.02.2021 07:13
Find out answers to questions
from an AI-bot
from an AI-bot
Get full access
Answers
