Given x +y' - 3y = 4 a) At what value(s) of x does the graph have a horizontal tangent? b) At what coordinate(s) does the graph have a vertical tangent?

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
icon
Concept explainers
Question

All parts!

4. Given x +y – 3y = 4
a) At what value(s) of x does the graph have a horizontal tangent?
b) At what coordinate(e) does the graph have a vertical tangent?
5. A circular pool of water is expanding at the rate of 16r. At what rate is the radius
expanding when the radius is 4 inches?
6. Cars A and B leave a town at the same time. Car A heads due south at a rate of 80 and car
B heads due west at a rate of 60. How fast is the distance between the cars increasing after
three hours.
Transcribed Image Text:4. Given x +y – 3y = 4 a) At what value(s) of x does the graph have a horizontal tangent? b) At what coordinate(e) does the graph have a vertical tangent? 5. A circular pool of water is expanding at the rate of 16r. At what rate is the radius expanding when the radius is 4 inches? 6. Cars A and B leave a town at the same time. Car A heads due south at a rate of 80 and car B heads due west at a rate of 60. How fast is the distance between the cars increasing after three hours.
1. Given the curve ry-5x +6 = 0
a) Find the slope and equation of the tangent line to this curve at (3,1)
b) Use a linear approximation to estimate the y-value of a point on this curve with x value 3.2.
2. The slope of the tangent is -1 at the point (0, 1) on x' - 6xy - k = a, where k and a are
constants. Find the values of a and k.
3. Determine in terms of x and y when 4x +3y = 4.
Transcribed Image Text:1. Given the curve ry-5x +6 = 0 a) Find the slope and equation of the tangent line to this curve at (3,1) b) Use a linear approximation to estimate the y-value of a point on this curve with x value 3.2. 2. The slope of the tangent is -1 at the point (0, 1) on x' - 6xy - k = a, where k and a are constants. Find the values of a and k. 3. Determine in terms of x and y when 4x +3y = 4.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Knowledge Booster
Points, Lines and Planes
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.
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