Answered step by step
Verified Expert Solution
Link Copied!

Question

1 Approved Answer

Find the (a) approximate true error, (b) relative approximate error, (c) absolute relative approximate error of the following: 1. The derivative of ?(?)=3+2+1 at?

image

Find the (a) approximate true error, (b) relative approximate error, (c) absolute relative approximate error of the following: 1. The derivative of ?(?)=3+2+1 at? = 0.5 when h = 0.005 and h??????? = 0.05 ??????? In the Practice 1, the approximate value of ?(?) - =3+2+1 at? = 0.5 and h = 0.05 is 2.8275 - ?(?)=> ?(?+ h) 0 h For? 0.5 when h = 0.005 ?(?)= ?(?) 2(0.5 +0.005) - (0.5) 0.005 ? (0.505) (0.5) 0.005 = Since ?(?)=3+2+1 ?(?) [(0.505 )32(0.505) + 1] [(0.5)3 + 2(0.5) + 1] - 0.005 = 2.13878 2.125 - 0.005 2(2) = 0.01387 ?(?) = 0.005 ?(?)=2.756 = - = 2.756 - 2.8275 = -0.0715 - 7.15% Relative approximate error = x 100% -0.0715 x 100% 2.756 2, 0.02594339 x 100 % 2,2.594339 % With the absolute relative approximate error of |= -2.594339 | = 2.594339 %

Step by Step Solution

There are 3 Steps involved in it

Step: 1

To find the approximate true error relative approximate error and absolute relative approximate erro... blur-text-image

Get Instant Access to Expert-Tailored Solutions

See step-by-step solutions with expert insights and AI powered tools for academic success

Step: 2

blur-text-image_2

Step: 3

blur-text-image_3

Ace Your Homework with AI

Get the answers you need in no time with our AI-driven, step-by-step assistance

Get Started

Recommended Textbook for

Calculus Early Transcendentals

Authors: James Stewart

7th edition

538497904, 978-0538497909

More Books

Students also viewed these Mathematics questions

Question

2. What is the probability value?

Answered: 1 week ago

Question

Write a note on transfer policy.

Answered: 1 week ago

Question

Discuss about training and development in India?

Answered: 1 week ago

Question

Explain the various techniques of training and development.

Answered: 1 week ago

Question

Explain the various techniques of Management Development.

Answered: 1 week ago

Question

7. What would you need to do to get to the Ideal?

Answered: 1 week ago

Question

4. How do leaders improve performance through culture?

Answered: 1 week ago