The base and height of a triangle are measured as 32 inches and 14 inches, respectively. Suppose that each measurement has a possible error of at most ɛ inches. (a) Use differentials to estimate the maximum error (in square inches) in the calculated area of the triangle. D)e in? (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? in2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section2.7: More On Inequalities
Problem 44E
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The base and height of a triangle are measured as 32 inches and 14 inches, respectively. Suppose that each measurement has a possible error of at most ɛ 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?
in2
Transcribed Image Text:The base and height of a triangle are measured as 32 inches and 14 inches, respectively. Suppose that each measurement has a possible error of at most ɛ 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? in2
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