Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
8th Edition
ISBN: 9781305279148
Author: Stewart, James, St. Andre, Richard
Publisher: Cengage Learning
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Chapter 3.3, Problem 5PT
To determine
To choose: The appropriate option for
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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
Could you explain this using the formula I attached and polar coorindates
Could you explain this using the formula I attached and polar coordinates
Chapter 3 Solutions
Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th
Ch. 3.1 - Prob. 1PTCh. 3.1 - Prob. 2PTCh. 3.1 - Prob. 3PTCh. 3.1 - Prob. 4PTCh. 3.1 - Prob. 5PTCh. 3.1 - Prob. 6PTCh. 3.2 - Prob. 1PTCh. 3.2 - Prob. 2PTCh. 3.2 - Prob. 3PTCh. 3.2 - Prob. 4PT
Ch. 3.3 - Prob. 1PTCh. 3.3 - Prob. 2PTCh. 3.3 - Prob. 3PTCh. 3.3 - Prob. 4PTCh. 3.3 - Prob. 5PTCh. 3.3 - Prob. 6PTCh. 3.4 - Prob. 1PTCh. 3.4 - Prob. 2PTCh. 3.4 - Prob. 3PTCh. 3.4 - Prob. 4PTCh. 3.4 - Prob. 5PTCh. 3.4 - Prob. 6PTCh. 3.4 - Prob. 7PTCh. 3.5 - Prob. 1PTCh. 3.5 - Prob. 2PTCh. 3.5 - Prob. 3PTCh. 3.5 - Prob. 4PTCh. 3.5 - Prob. 5PTCh. 3.5 - Prob. 6PTCh. 3.6 - Prob. 1PTCh. 3.6 - Prob. 2PTCh. 3.6 - Prob. 3PTCh. 3.6 - Prob. 4PTCh. 3.6 - Prob. 5PTCh. 3.7 - Prob. 1PTCh. 3.7 - Prob. 2PTCh. 3.7 - Prob. 3PTCh. 3.7 - Prob. 4PTCh. 3.8 - Prob. 1PTCh. 3.8 - A bacteria culture starts with 50 organisms and...Ch. 3.8 - Prob. 3PTCh. 3.9 - A right triangle has one leg with constant length...Ch. 3.9 - Prob. 2PTCh. 3.10 - Prob. 1PTCh. 3.10 - Prob. 2PTCh. 3.10 - Prob. 3PTCh. 3.10 - Prob. 4PTCh. 3.11 - Prob. 1PTCh. 3.11 - Prob. 2PTCh. 3.11 - Prob. 3PTCh. 3.11 - Prob. 4PTCh. 3.11 - Prob. 5PT
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