Solve the following problems: When measuring a parallelepiped block of wood, the values of 10, 12 and 20 cm have resulted for d) their dimensions with a probable error of 0.05 cm in each. Find, approximately, the maximum error that can be made when evaluating the total area of the block. e) In the formula R = E/C, find the maximum error if C = 20 with a probable error of 0.1 and E = 120 with a probable error of 0.05. f) Two sides of a triangle measure 150 and 200 meters and the angle they form is 60°. Knowing that the probable errors in the measurement are of 0.2 meters in the measure of the sides and 1° in the angle, find the maximum probable error that can be made when evaluating its area.
Solve the following problems: When measuring a parallelepiped block of wood, the values of 10, 12 and 20 cm have resulted for d) their dimensions with a probable error of 0.05 cm in each. Find, approximately, the maximum error that can be made when evaluating the total area of the block. e) In the formula R = E/C, find the maximum error if C = 20 with a probable error of 0.1 and E = 120 with a probable error of 0.05. f) Two sides of a triangle measure 150 and 200 meters and the angle they form is 60°. Knowing that the probable errors in the measurement are of 0.2 meters in the measure of the sides and 1° in the angle, find the maximum probable error that can be made when evaluating its area.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Transcribed Image Text:Solve the following problems:
When measuring a parallelepiped block of wood, the values of 10, 12 and 20 cm have resulted for
d) their dimensions with a probable error of 0.05 cm in each. Find, approximately, the maximum error
that can be made when evaluating the total area of the block.
e)
In the formula R = E/C, find the maximum error if C = 20 with a probable error of 0.1 and E = 120
with a probable error of 0.05.
f)
Two sides of a triangle measure 150 and 200 meters and the angle they form is 60°. Knowing that the
probable errors in the measurement are of 0.2 meters in the measure of the sides and 1° in the angle,
find the maximum probable error that can be made when evaluating its area.
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