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111 {E pts'l'e aregiventhe following informaonaboutthofmction f : ruh 1 +1 {I} We will construct am i linear function, L, an approximation of I"...

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Please help me solve this worksheet. It covers a variety of concepts such as Liner approximation and Antiderivatives.

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111 {E ptsfl‘l'e aregiventhe following informafionaboutthofmction f : E.
ruh———
1 +1
{I} We will construct am fliflflfl linear function, L,
an approximation of I" on the interval [[1, E]. nm=L “I {a} Dnfliointerval [l]. 111 Lisalinoaragmoximation ofthefunolion r at out}.
FinrlanIto-coronationforl_.:Jr‘_|1 [151's 1.
Ltn- . “tore fl 5 Jr 5 1. [ll-1. .uI‘IHEIInthointerval[1.2]1 Lisalinear illictionanditsmapnisaline moseslopeisf'm.
Find mommionforux], 15x52. Mote, Liscontinuousatx-t] Lu]. .wnoreisxsl [inwmrrlowefliink that the imotion I. might boa-good approxirnaljon
oftlroflliction fontho interim [1. 2]? [1:1 Dnfliointenral [2.3]1 Lis a linear fmction and itsgraph isaline whom-slope iof' [2}.
Find ariexproosion foer, 2 s x: 3. LlIi- .whereflsxsl

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