4. The two sides forming the right angle of a right-angled triangle are denoted by a and b. The hypotenuse is h. If there are possible errors of +0.5% in measuring a and b, determine the maximum possible error in calculating: a) the area of the triangle, A h b) the length of h a answer: a) SA=1% of A b) Sh = 0.5% of h

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4.
The two sides forming the right angle of a right-angled triangle are denoted by a and b.
The hypotenuse is h. If there are possible errors of +0.5% in measuring a and b,
determine the maximum possible error in calculating:
a)
the area of the triangle, A
h
b)
the length of h
a
b
answer: a)
SA=1% of A
b) Sh = 0.5% of h
Transcribed Image Text:4. The two sides forming the right angle of a right-angled triangle are denoted by a and b. The hypotenuse is h. If there are possible errors of +0.5% in measuring a and b, determine the maximum possible error in calculating: a) the area of the triangle, A h b) the length of h a b answer: a) SA=1% of A b) Sh = 0.5% of h
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