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Question 3 a. . Newton's law of cooling is given by 0 = 0,e", where the excess of temperature at zero time is 0;C and at time i seconds of temperature is O'C. Determine the rate of change of temperature after 40 s, given that O, = 16'C and k =-0,03

Question 3 a. . Newton's law of cooling is given by 0 = 0,e", where the excess of temperature at zero time is 0;C and at time i seconds of temperature is O'C. Determine the rate of change of temperature after 40 s, given that O, = 16'C and k =-0,03

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question 3 a. . Newton's law of cooling is given by 0 = 0,e", where the excess of temperature at zero time is 0;C and at time i seconds of temperature is O'C. Determine the rate of change of temperature after 40 s, given that 0, = 16°C and k =-0.03 AR b. The Luminous intensity I candelas of a lamp at varying voltage V is given by I= 4x10 V². Explain and swtermine the voltage at which the light is increasing at a rate of 0.6 candelas per volt. c. Determine the differential coefficient of y = V3x² +4x – 1 APIA d. A sinusoidal voltage v = 100 sin(wt) volts. Use integration to determine over half cycle i. The mean value AR ii. The r.m.s value
Transcribed Image Text:Question 3 a. . Newton's law of cooling is given by 0 = 0,e", where the excess of temperature at zero time is 0;C and at time i seconds of temperature is O'C. Determine the rate of change of temperature after 40 s, given that 0, = 16°C and k =-0.03 AR b. The Luminous intensity I candelas of a lamp at varying voltage V is given by I= 4x10 V². Explain and swtermine the voltage at which the light is increasing at a rate of 0.6 candelas per volt. c. Determine the differential coefficient of y = V3x² +4x – 1 APIA d. A sinusoidal voltage v = 100 sin(wt) volts. Use integration to determine over half cycle i. The mean value AR ii. The r.m.s value
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