Concept explainers
(a)
To find: The sketch for the curve over the given
(a)
Answer to Problem 19E
The required sketch is shown in Figure 1
Explanation of Solution
Given Data:
The given equations are,
Calculation:
Consider the trigonometric equation as,
Substitute the values in the given equation then,
The sketch for the above function is shown in Figure 1
Figure 1
(b)
To find: The identification for the requested points.
(b)
Answer to Problem 19E
The lowest point on the graph is
Explanation of Solution
Consider the graph is shown in Figure 1 the graph shows that the lowest point is
(c)
To find: The justification that you have found the requested point by analysing an appropriate derivative.
(c)
Answer to Problem 19E
The lowest point on the graph is
Explanation of Solution
To obtain the lowest point on the graph differentiate the given equation as,
Then,
Then, the value of
Thus, lowest point on the graph is
Chapter 11 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Calculus and Its Applications (11th Edition)
Precalculus
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Calculus: Early Transcendentals (2nd Edition)
University Calculus: Early Transcendentals (3rd Edition)
University Calculus: Early Transcendentals (4th Edition)
- Calculus: Early TranscendentalsCalculusISBN:9781285741550Author:James StewartPublisher:Cengage LearningThomas' Calculus (14th Edition)CalculusISBN:9780134438986Author:Joel R. Hass, Christopher E. Heil, Maurice D. WeirPublisher:PEARSONCalculus: Early Transcendentals (3rd Edition)CalculusISBN:9780134763644Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric SchulzPublisher:PEARSON
- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning