The electric resistance R (in S) of a certain resistor as a function of the temperature T (in °C) is R= 3.000 + 0.004T. If the temperature is increasing at the rate of 0.140°C/s, find how fast the resistance changes when T = 100°C. dR Set up the problem by finding dt dR 0.008T dT dt dt The resistance is changing at 2/s when T = 100°C. (Type an integer or a decimal.)

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...
icon
Related questions
Question
The resistance is changing at???
The electric resistance R (in S) of a certain resistor as a function of the temperature T (in °C) is R= 3.000 + 0.004T. If the temperature is increasing at the rate of
0.140°C/s, find how fast the resistance changes when T = 100°C.
dR
Set up the problem by finding
dt
dR
dT
0.008T
dt
dt
The resistance is changing at
2/s when T = 100°C.
(Type an integer or a decimal.)
Transcribed Image Text:The electric resistance R (in S) of a certain resistor as a function of the temperature T (in °C) is R= 3.000 + 0.004T. If the temperature is increasing at the rate of 0.140°C/s, find how fast the resistance changes when T = 100°C. dR Set up the problem by finding dt dR dT 0.008T dt dt The resistance is changing at 2/s when T = 100°C. (Type an integer or a decimal.)
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning