23cm with a maximal error in measurement Of 0.3cm. Use differentials to estimate the fo1owing folo a) maximum error in the calc area b) relative maximum eor c) +he percentage error in that case

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.7: Applied Problems
Problem 58E
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I’m not sure why part b and c are incorrect
The radus df a circular disk is given as
23cm with a maximal error in
measurement of 0.3cm. Use
differentials to estimate the fo1owing
a) maximum error in the calc avea
b) relative maximum eor
c) the percentage error in that case
PARTA)
A= mr²
dA
dr
: 20(23cm) (0.gcm)
dr
2mr.dr
PartB.
43.35
43.35 cm2 v
1. 88 X
23
PART C)
dA. 2or dr 2dr
%3D
A
A
=) 2(0.3 cm)
23 cm
260% X
Transcribed Image Text:The radus df a circular disk is given as 23cm with a maximal error in measurement of 0.3cm. Use differentials to estimate the fo1owing a) maximum error in the calc avea b) relative maximum eor c) the percentage error in that case PARTA) A= mr² dA dr : 20(23cm) (0.gcm) dr 2mr.dr PartB. 43.35 43.35 cm2 v 1. 88 X 23 PART C) dA. 2or dr 2dr %3D A A =) 2(0.3 cm) 23 cm 260% X
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