(a)
To use the law of cosines to write an equation giving the relationship between and
(a)
Explanation of Solution
Given information:
The given figure of a seven-inch connecting rod fastened to a crank.
If ABC is a triangle with sides a, b and c. A, B and C are the angles opposite to a, b and c.
Therefore, apply this law on triangle in the figure-
This yields the following
(b)
To write as a function of
(b)
Explanation of Solution
Solving the following for x,
Taking only positive values, x as function of is,
(c)
To use the graphing utility to graph the function.
(c)
Explanation of Solution
To plot the function using graphing calculator, the following steps are to be followed-
- Press Y= enter the function.
(d)
To plot the maximum and minimum of the function using the graphing utitlity.
(d)
Explanation of Solution
To plot the maximum and minimum of the function using the TI-83 graphing calculator follow the steps:
1. Press SHIFT + TRACE and select 4 for maximum
2. Then press the TRACE button on the calculator and maximum value will be highlighted,
Therefore, the maximum distance of the piston is,
Inch
Chapter 6 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