Network+ Guide to Networks (MindTap Course List)
8th Edition
ISBN: 9781337569330
Author: Jill West, Tamara Dean, Jean Andrews
Publisher: Cengage Learning
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Expert Solution & Answer
Chapter 5, Problem 12RQ
Explanation of Solution
Twist ratio:
- The number of twists available per meter or foot in twisted pair cable is known as twist ratio.
- Twisted pair cable comprises of two closely twisted insulated conducting wires that help in reducing the susceptibility to crosstalk...
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Home Work
Use Taylor's series expansion to Compute the true and approximate percent relative
errors & and εa for x = π/6, use 6 iterations for the series.
sin(x)
== x-
Taylor Series Approximation Example- H.W
More terms used implies better approximation
f(x) 4
f(x)
Zero order
f(x + 1) = f(x;)
First order
f(x; + 1) = f(x;) + f'(x;)h
1.0
Second order
0.5
True
f(x + 1) =
f(x) + f'(x)h +
ƒ"(x;)
h2
2!
f(x+1)
0
x; = 0
x+1 = 1
x
h
f(x)=0.1x4-0.15x³- 0.5x2 -0.25x + 1.2
51
Taylor Series Approximation H.w:
Smaller step size implies smaller error
Errors
f(x) +
f(x,)
Zero order
f(x,+ 1) = f(x)
First order
1.0
0.5
Reduced step size
Second order
True
f(x + 1) = f(x) + f'(x)h
f(x; + 1) = f(x) + f'(x)h + "(xi) h2
f(x,+1)
O
x₁ = 0
x+1=1
Using Taylor Series Expansion estimate f(1.35) with x0 =0.75 with 5
iterations (or & s= 5%) for
f(x)=0.1x 0.15x³-0.5x²- 0.25x + 1.2
52
Find the error:
daily_sales = [0.0, 0,0, 0.0, 0.0, 0.0, 0.0, 0.0]
days_of_week = ['Sunday', 'Monday', 'Tuesday',
'Wednesday', 'Thursday', 'Friday',
'Saturday']
for i in range(7):
daily_sales[i] = float(input('Enter the sales for ' \
+ days_of_week[i] + ': ')
Chapter 5 Solutions
Network+ Guide to Networks (MindTap Course List)
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