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Algebra & Trigonometry with Analytic Geometry

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter7: Analytic Trigonometry

Section7.6: The Inverse Trigonometric Functions

Problem 91E

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Question

The radius of a circular disk is given as 26 cm with a maximal
error in measurement of 0.4 cm. Use differentials to estimate the
following.
(a) The maximum error in the calculated area of the disk.
(b) The relative maximum error.
(c) The percentage error in that case.
(a)
(b)
(c)

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The length and width of a rectangle are measured with errors of at most 3% and 5%, respectively. Use differentials to approximate the maximum percentage error in the calculated area.
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