The side lengths of any triangle are related by the Law of Cosines, the formula shown below. c²=a² + b² - 2ab cos 0 Complete parts (a) and (b) below. FEED 6 a. Estimate the change in the side length c when a changes from 2.00 to 2.02, b changes from 4.00 to 3.97, and 8 changes from to 1+ JO TU 3 3 90 b The approximate change in the side length c is (Type an integer or decimal rounded to three decimal places as needed.) T b. If a changes from 2.00 to 2.02 and b changes from 4.00 to 3.97, is the resulting change in c greater in magnitude when 0 is held constant at T 29n 0 (small angle) or when 0 is held constant at 0= (close to a 60 60 right angle)? K The change in c is greater in magnitude when 0 is held constant
The side lengths of any triangle are related by the Law of Cosines, the formula shown below. c²=a² + b² - 2ab cos 0 Complete parts (a) and (b) below. FEED 6 a. Estimate the change in the side length c when a changes from 2.00 to 2.02, b changes from 4.00 to 3.97, and 8 changes from to 1+ JO TU 3 3 90 b The approximate change in the side length c is (Type an integer or decimal rounded to three decimal places as needed.) T b. If a changes from 2.00 to 2.02 and b changes from 4.00 to 3.97, is the resulting change in c greater in magnitude when 0 is held constant at T 29n 0 (small angle) or when 0 is held constant at 0= (close to a 60 60 right angle)? K The change in c is greater in magnitude when 0 is held constant
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:The side lengths of any triangle are related by the
Law of Cosines, the formula shown below.
c²=a² + b² - 2ab cos 0
Complete parts (a) and (b) below.
FEED
6
a. Estimate the change in the side length c when a changes from 2.00 to
2.02, b changes from 4.00 to 3.97, and 8 changes from to 1+
JO
TU
3 3
90
b
The approximate change in the side length c is
(Type an integer or decimal rounded to three decimal places as needed.)
T
b. If a changes from 2.00 to 2.02 and b changes from 4.00 to 3.97, is the
resulting change in c greater in magnitude when 0 is held constant at
T
29n
0 (small angle) or when 0 is held constant at 0= (close to a
60
60
right angle)?
K
The change in c is greater in magnitude when 0 is held constant
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