Concept explainers
a.
Use a graphing utility to graph the heights of these pistons in the same viewing window for
a.

Answer to Problem 12PS
Explanation of Solution
Given information:
The heights h (in inches) of pistons
respectively, where
Calculation:
The heights h (in inches) of pistons
The graph of the expressions of the heights of pistons
Hence, the graph is shown above.
b.
How often are the pistons at the same height?
b.

Answer to Problem 12PS
Explanation of Solution
Given information: The heights h (in inches) of pistons
respectively, where
How often are the pistons at the same height?
Calculation:
The heights of the given heights will be equal at certain points in time domain. Those points can be determined by keeping the expressions of both the heights equal and simplifying then as below,
The relation obtained above has been obtained incosine form. The above formcan be simplified further to obtain values of
Hence,
Chapter 5 Solutions
EBK PRECALCULUS W/LIMITS
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