Numerical Methods for Engineers
Numerical Methods for Engineers
7th Edition
ISBN: 9780073397924
Author: Steven C. Chapra Dr., Raymond P. Canale
Publisher: McGraw-Hill Education
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Textbook Question
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Chapter 3, Problem 8P

(a) Evaluate the polynomial

y = x 3 − 5 x 2 + 6 x + 0.55

at x = 1.37 . Use 3-digit arithmetic with chopping. Evaluate the percent relative error.

(b) Repeat (a) but express y as y = ( ( x − 5 ) x + 6 ) x + 0.55

Evaluate the error and compare with part (a).

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Students have asked these similar questions
5. (a) Evaluate the polynomial y = x³ - 8x² + 12x −0.45 at a = 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y= ((x-8) x+12)x -0.45. Evaluate the percent relative true error and compare with part (a).
5. (a) Evaluate the polynomial y = 2³-82² +12z-0.45 at z 2.378. Use 4-digit arithmetic with chopping. Evaluate the percent relative true error. (b) Repeat (a) but express y as y=((-8) +12)z-0.45. Evaluate the percent relative true error and compare with part (a).
2. Evaluate the polynomial: y = x – 7x² + 8x – 0.35 at x = 1.37. Use 3-digit arithmetic with chopping. Evaluate the percent relative error.

Chapter 3 Solutions

Numerical Methods for Engineers

Ch. 3 - Convert the following base-2 numbers to base-10:...Ch. 3 - Convert the following base-8 numbers to base-10:...Ch. 3 - 3.3 Compose your own program based on Fig. 3.11...Ch. 3 - In a fashion similar to that in Fig. 3.11, write a...Ch. 3 - 3.5 The infinite series converges on a value...Ch. 3 - 3.6 Evaluate using two approaches and and...Ch. 3 - The derivative of f(x)=1/(13x2) is given by...Ch. 3 - 3.8 (a) Evaluate the polynomial at . Use...Ch. 3 - Calculate the random access memory (RAM) in...Ch. 3 - Determine the number of terms necessary to...
Ch. 3 - 3.11 Use 5-digit arithmetic with chopping to...Ch. 3 - How can the machine epsilon be employed to...Ch. 3 - 3.13 The “divide and average” method, an old-time...

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