(a)
To write: a system of inequalities that describes the constraints on the circles.
(a)
Answer to Problem 76E
Explanation of Solution
Given information:
Two concentric circles have radii
Calculation:
Let us consider the two circle of radius
The area of larger circle is
The area of smaller circle is
Since the area between the circles must be at least 10 square units, therefore we have
Also,
And redii are positive. Therefore, the system of inequalities is
(b)
To graph: the system of inequalities in part (a). Graph the line
(b)
Explanation of Solution
Consider the system from part (a).
The graph of the system is shown below.
Chapter 7 Solutions
EBK PRECALCULUS W/LIMITS
- 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