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Solution: Errors in approximations Carry out the procedure

Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett ISBN: 9780321570567 2

Solution for problem 81E Chapter 9.1

Calculus: Early Transcendentals | 1st Edition

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Calculus: Early Transcendentals | 1st Edition | ISBN: 9780321570567 | Authors: William L. Briggs, Lyle Cochran, Bernard Gillett

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

Chapter 9.1, Problem 81E is Solved
Textbook: Calculus: Early Transcendentals
Edition: 1
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
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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Solution: Errors in approximations Carry out the procedure