Concept explainers
a .
To find: and interpret
a .
Answer to Problem 62E
It gives the number of bacteria in a refrigerated food, t hours after it is removed from refrigeration.
Explanation of Solution
Given: The number N of bacteria in a refrigerated food is given by
Temperature of food after it is removed from refrigeration is given by
Calculation:
Now consider,
Here
b.
To find: bacteria count after 0.5 hours
b.
Answer to Problem 62E
Explanation of Solution
Calculation:
From part (a), the number of bacteria in a refrigerated food, t hours after it is removed from refrigeration is given by:
Now number of bacteria after 0.5 hours is:
Conclusion:
So, after 0.5 hours there will be approximately 653 bacteria.
c.
To find: the time when the bacteria count reaches 1500.
c.
Answer to Problem 62E
Explanation of Solution
Concept Used:
Quadratic formula: The roots of the
Calculation:
From part (a), the number of bacteria in a refrigerated food, t hours after it is removed from refrigeration is given by:
Now to find t for which
By quadratic formula the solutions of the above equation are:
This gives that,
Since
Conclusion:
Thus, the bacteria count reaches 1500 in about 2.85 hours.
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