Homework Help is Here – Start Your Trial Now!
Math
Calculus
Find indicated rate of number 3

Find indicated rate of number 3

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
Find indicated rate of number 3
**Chapter 3.9 Exercise Set** Find the indicated rate. 1. Given \( y = x^3 \), find \( \frac{dy}{dt} \) when \( x = 2 \) and \( \frac{dx}{dt} = -1 \). 2. Given \( y = x^4 \), find \( \frac{dy}{dt} \) when \( x = 3 \) and \( \frac{dx}{dt} = 1 \). 3. Given \( y = 2x^2 + x \), find \( \frac{dy}{dt} \) when \( x = -3 \) and \( \frac{dx}{dt} = 2 \). 4. Given \( y = -3x^2 + 2x \), find \( \frac{dy}{dt} \) when \( x = -2 \) and \( \frac{dx}{dt} = 6 \). 5. Given \( y = 2x^3 \), find \( \frac{dx}{dt} \) when \( x = 1 \) and \( \frac{dy}{dt} = 10 \). 6. Given \( y = 4x^2 \), find \( \frac{dx}{dt} \) when \( x = 5 \) and \( \frac{dy}{dt} = -3 \). 7. Given \( y = x - x^4 \), find \( \frac{dx}{dt} \) when \( x = 2 \) and \( \frac{dy}{dt} = -5 \). 8. Given \( y = 5x - x^2 \), find \( \frac{dx}{dt} \) when \( x = -2 \) and \( \frac{dy}{dt} = 2.5 \). 9. Given \( y = e^{2x+1} \), find \( \frac{dy}{dt} \) when \( x = 4 \) and \( \frac{dx}{dt} = 0.5 \). 10. Given \( y = e^{1-3x} \), find \( \frac{dy}{dt} \) when \( x = 2 \) and \( \frac{dx}{dt} = 4 \). *Note: There are no graphs or diagrams in this exercise set.*
Transcribed Image Text:**Chapter 3.9 Exercise Set** Find the indicated rate. 1. Given \( y = x^3 \), find \( \frac{dy}{dt} \) when \( x = 2 \) and \( \frac{dx}{dt} = -1 \). 2. Given \( y = x^4 \), find \( \frac{dy}{dt} \) when \( x = 3 \) and \( \frac{dx}{dt} = 1 \). 3. Given \( y = 2x^2 + x \), find \( \frac{dy}{dt} \) when \( x = -3 \) and \( \frac{dx}{dt} = 2 \). 4. Given \( y = -3x^2 + 2x \), find \( \frac{dy}{dt} \) when \( x = -2 \) and \( \frac{dx}{dt} = 6 \). 5. Given \( y = 2x^3 \), find \( \frac{dx}{dt} \) when \( x = 1 \) and \( \frac{dy}{dt} = 10 \). 6. Given \( y = 4x^2 \), find \( \frac{dx}{dt} \) when \( x = 5 \) and \( \frac{dy}{dt} = -3 \). 7. Given \( y = x - x^4 \), find \( \frac{dx}{dt} \) when \( x = 2 \) and \( \frac{dy}{dt} = -5 \). 8. Given \( y = 5x - x^2 \), find \( \frac{dx}{dt} \) when \( x = -2 \) and \( \frac{dy}{dt} = 2.5 \). 9. Given \( y = e^{2x+1} \), find \( \frac{dy}{dt} \) when \( x = 4 \) and \( \frac{dx}{dt} = 0.5 \). 10. Given \( y = e^{1-3x} \), find \( \frac{dy}{dt} \) when \( x = 2 \) and \( \frac{dx}{dt} = 4 \). *Note: There are no graphs or diagrams in this exercise set.*
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

SEE SOLUTIONCheck out a sample Q&A here
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
SEE MORE TEXTBOOKS