![subject](/tpl/images/cats/mat.png)
Mathematics, 21.10.2020 16:01 Bri0929
L(x)= f(a) + f' (a)(x-a)
A quadratic approximation is an extension of linear approximation. It is created by adding one more term related to the second derivative to the aboves. The formula for the quadratic approximation Q(x) of a function f(x) near a is given by:
Q(x)=f(a)+f'(a)(x-a)+ f''(a)/2(x-a)2
Linear Part Quadratic Part
This approximation is more complicated than the linear approximation and is only used when higher accuracy is needed
In particular, consider the function f(x) =√ x+1.
(a) Find √ 1.1 with a calculator.
(b) Determine the linearization of f(x)= √ 1+x near x=0
(c) Using the linear approximation from (b), approximate √ 1.1.
(d) Find the quadratic approximation to f(x)= √ 1+1 at x=0
(e) Using the quadratic approximation, approximate √ 1.1
(f) Circle one: Which is closer to the actual value? Linear or Quadratic
(g) Find the formula for the quadratic approximation to f(x)=) (1+x)α at x=0.
![ansver](/tpl/images/cats/User.png)
Answers: 2
Another question on Mathematics
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 15:00
Answer this question only if you know the answer! 30 points and
Answers: 1
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 18:00
What is the relationship between all triangles that can be drawn given the same three angles
Answers: 2
![question](/tpl/images/cats/mat.png)
Mathematics, 21.06.2019 19:50
The graph shows the distance kerri drives on a trip. what is kerri's speed?
Answers: 3
You know the right answer?
L(x)= f(a) + f' (a)(x-a)
A quadratic approximation is an extension of linear approximation. It is c...
Questions
![question](/tpl/images/cats/obshestvoznanie.png)
Social Studies, 03.07.2019 11:10
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/himiya.png)
Chemistry, 03.07.2019 11:10
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/biologiya.png)
Biology, 03.07.2019 11:10
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/biologiya.png)
Biology, 03.07.2019 11:10
![question](/tpl/images/cats/mat.png)
Mathematics, 03.07.2019 11:10
![question](/tpl/images/cats/informatica.png)
Computers and Technology, 03.07.2019 11:10
![question](/tpl/images/cats/himiya.png)
![question](/tpl/images/cats/informatica.png)
Computers and Technology, 03.07.2019 11:10
![question](/tpl/images/cats/en.png)
English, 03.07.2019 11:10
![question](/tpl/images/cats/en.png)
![question](/tpl/images/cats/en.png)
English, 03.07.2019 11:10
![question](/tpl/images/cats/en.png)
English, 03.07.2019 11:10
![question](/tpl/images/cats/mat.png)
![question](/tpl/images/cats/en.png)
English, 03.07.2019 11:10
![question](/tpl/images/cats/mat.png)
Mathematics, 03.07.2019 11:10
![question](/tpl/images/cats/istoriya.png)
History, 03.07.2019 11:10