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Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.1 - Problem 81e
Get Full Access to Calculus: Early Transcendentals - 1 Edition - Chapter 9.1 - Problem 81e

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# Solution: Errors in approximations Carry out the procedure

ISBN: 9780321570567 2

## Solution for problem 81E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Problem 81E

Errors in approximations Carry out the procedure described in Exercise 77 with the following functions and approximations.

f(x) = tan x, p1(x)= x,

Step-by-Step Solution:

Solution 81E

Step 1:

Given , f(x) = tan(x) , , and

By , using Exercise 77 with the given functions and approximations are ;

tan (-0.2) = -0.2027100355 , ,

And = - 0.2 -0.00266667 = -0.200266667

tan(-0.1) = -0.100334672 , ,

And = - 0.1 -3.3333333 = -0.1003333333

tan(0) = 0 , ,  And = 0

tan(0.1) = 0.100334672 , ,

And = 0.1 + 3.3333333 = 0.1003333333

tan (0.2) = 0.2027100355 , ,

And = 0.2  +0.00266667 = 0.200266667

 x Error = |tan(x) - | Error = |tan(x) - | -0.2 Error = |-0.2027100355 +0.2|                      = 0.0027100355 Error = |-0.202710035+0.200266667|           = 0.002443368 -0.1 Error =| -0.100334672 +0.1|              = 0.000334672 Error = |-0.100334672+0.1003333333|          = 0.00000134 0 Error = |0-0| =0 Error = |0-0| = 0 0.1 Error = | 0.100334672 - 0.1|          = 0.000334672 Error = |0.100334672 -0.10033333|          = 0.000001342 0.2 Error = | 0.2027100355-0.2|           = 0.0027100355 Error = |0.2027100355 - 0.200266667|          = 0.0024433685

Step 2 of 1

##### ISBN: 9780321570567

This full solution covers the following key subjects: approximations, exercise, described, errors, carry. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. The full step-by-step solution to problem: 81E from chapter: 9.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. The answer to “Errors in approximations Carry out the procedure described in Exercise 77 with the following functions and approximations.f(x) = tan x, p1(x)= x,” is broken down into a number of easy to follow steps, and 22 words. Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. Since the solution to 81E from 9.1 chapter was answered, more than 287 students have viewed the full step-by-step answer.

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