Question

Use linear approximation, i.e. the tangent line, to approximate 5.3^2 as follows:
Let f(x)=x^2 and find the equation of the tangent line to f(x) at x=5 . Using this, find your approximation for 5.3^2

Answer 1

anyone have a clue?

Answer 2

\[
f(x)\approx L(x)
\]Where \[
L(x) = f'(a)(x-a)+f(a)
\]

Answer 3

Typically \(a\) is some point that is close to \(x\) and \(f(a)\) is easier calculated than \(f(x)\) is.

Answer 4

In this case \(a=5\) and \(x=5.3\).

Answer 5

So first we find \(f'(5)=2x|_{x=5}=2(5)=10\)

Answer 6

Next we find \(f(5)=x^2|_{x=5}=(5)^2=25\)

Answer 7

This means \[
f(x)\approx L(x) = 10(x-5)+25 = 10x-50+25=10x-25
\]

Answer 8

So given that \[
L(x)= 10x-15
\]We can approximate \(f(5.3)\):\[
L(5.3)=10(5.3)-25=53-25=28
\]

Answer 9

In short \(f(5.3)\approx 28\)

Answer 10

Write the equation of the piecewise function u0192 that is represented by its graph.

Answer 11

build the wall at the border, change me mind

Answer 12

Last three

Answer 13

what tools do I need to make someone dissapear?

Answer 14

https://prnt.sc/l7sij9

Answer 15

Help on second part

Answer 16

What is the value of x ?

Answer 17

if I digest flex seal will it provide a protective layer on my organs?

Answer 18

PLS HELP!!!
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Answer 19

which expressions are equivalent to u221a25d u00b7 d 1/3 ?

Answer 20

Write the equation of the piecewise function u0192 that is represented by its graph.

Answer 21

Orgo II Mini-Tutorial: Bayer-Villiger Oxidation

Answer 22

ud835udc53(ud835udc65) = ud835udc65^2 + 1, ud835udc54(ud835udc65) = u221aud835udc65.

Answer 23

How many mL of water are required to make up a 1.87M solution if you start with 0.

Answer 24

math help plz
An experiment consists of drawing 1 card from a standardu200b 52-card deck.

Answer 25

A. The speaker describes how, even now, he lies down by his beloved in her "sepulchre there by the sea.

Answer 26

Answer check

Answer 27

Billy is trying to convince Sam that all square roots are irrational. To support his argument, Billy points out that sqrt(2), sqrt(6), sqrt(7), and sqrt(15)

Answer 28

Part A

What is the main idea of this part of the poem?

A. Annabel Lee's kinsmen took her from the speaker because she was highborn.

Answer 29

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A. Fitness water contains vitamins and minerals.