The base and height of a triangle are measured as 26 inches and 12 inches, respectively. Suppose that each measurement has a possible error of at most & inches. (a) Use differentials to estimate the maximum error (in square inches) in the calculated area of the triangle. e in² (b) What is the estimated maximum error in the area of the triangle (in square inches) if the base and height are measured with errors at most inch? 4 in²

Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
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The base and height of a triangle are measured as 26 inches and 12 inches, respectively. Suppose that each measurement
has a possible error of at most & inches.
(a) Use differentials to estimate the maximum error (in square inches) in the calculated area of the triangle.
& in 2
(b) What is the estimated maximum error in the area of the triangle (in square inches) if the base and height are
1
measured with errors at most inch?
4
in²
Transcribed Image Text:The base and height of a triangle are measured as 26 inches and 12 inches, respectively. Suppose that each measurement has a possible error of at most & inches. (a) Use differentials to estimate the maximum error (in square inches) in the calculated area of the triangle. & in 2 (b) What is the estimated maximum error in the area of the triangle (in square inches) if the base and height are 1 measured with errors at most inch? 4 in²
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