Concept explainers
i.
To calculate: Corners of equal size are cut from a square with sides of length 8 meters. Write the area A of the function of x. Determine the domain of the function.
i.
Answer to Problem 88E
Area of the resulting figure is
Explanation of Solution
Given information: size of square is 8 meters.
Area of the resulting figure is the difference between the area of square of side 8 meters and the 4 right angled isosceles triangle of side x.
Calculation:
Area of square is
So resulting area is
For the given data to make sense
Conclusion: Area of the resulting figure is
ii.
To graph: Corners of equal size are cut from a square with sides of length 8 meters. Use a graphing utility to graph the area function over its domain. Use the graph to find the range of the function.
ii.
Answer to Problem 88E
Explanation of Solution
Between
The given function is
ii.
To calculate: Corners of equal size are cut from a square with sides of length 8 meters. Identify the figure that results when x is the maximum value in the domain of the function. What would be the length of each side of the figure?
ii.
Answer to Problem 88E
The remaining figure is Square with length of each 5.65 meters.
Explanation of Solution
Given information: Side of given square is 8 meter and
Now two sides of right angled isosceles triangle is 4 meters.
Calculate the hypotenuse of the right angled triangle with two side x meter each.
Length of hypotenuse
Conclusion: each side of resulting figure is
Chapter 1 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