Solve the following problems: a) Find the maximum error in the calculation of the area of a rectangle if its base measures 35 cm and its height 25 cm, with an error in excess of the height of up to 0.02 cm and a default error in the base of up to 0.03 cm. b) Find, approximately, the length variation experienced by the hypotenuse of a right triangle whose legs measure 6 and 8 cm, when the first one lengthens 4 cm and the second one does so in 1/8 cm. E² c) The heat power dissipated in an electrical resistance is given by P = watts. With E = 200 volts and R = 8 ohms, find the decrease of power when E decreases in 5 volts and R decreases in 0.2 ohms. R

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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Solve the following problems:
a)
Find the maximum error in the calculation of the area of a rectangle if its base measures 35 cm and its
height 25 cm, with an error in excess of the height of up to 0.02 cm and a default error in the base of
up to 0.03 cm.
b)
Find, approximately, the length variation experienced by the hypotenuse of a right triangle whose legs
measure 6 and 8 cm, when the first one lengthens 4 cm and the second one does so in 1/8 cm.
E²
c)
The heat power dissipated in an electrical resistance is given by P =
R = 8 ohms, find the decrease of power when E decreases in 5 volts and R decreases in 0.2 ohms.
watts
watts. With E = 200 volts and
Transcribed Image Text:Solve the following problems: a) Find the maximum error in the calculation of the area of a rectangle if its base measures 35 cm and its height 25 cm, with an error in excess of the height of up to 0.02 cm and a default error in the base of up to 0.03 cm. b) Find, approximately, the length variation experienced by the hypotenuse of a right triangle whose legs measure 6 and 8 cm, when the first one lengthens 4 cm and the second one does so in 1/8 cm. E² c) The heat power dissipated in an electrical resistance is given by P = R = 8 ohms, find the decrease of power when E decreases in 5 volts and R decreases in 0.2 ohms. watts watts. With E = 200 volts and
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