Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
2nd Edition
ISBN: 9780618912407
Author: MCDOUGAL LITTEL
Publisher: Mcdougal Littel
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Expert Solution & Answer
Chapter 10.2, Problem 51PS
Solution
To calculate: The cosine function for the height of the crank pin if the graph shows the height h (in inches) of a crank pin relative to the axle as a function of time t (in seconds).
The resultant function is
Given information:
The given graph is:
Formula used: The period formula is
Calculation:
Consider the given graph:
The period of the graph of
The horizontal length of each cycle is also called period. From the graph, the period is
It can be written as
Now solve for b ,
From the graph, the maximum is 3.75 and minimum as -3.75.
The amplitude of each function’s graph is half of the difference of maximum and the minimum:
Now substitute
Therefore, the cosine function for the height of the crank pin is
Chapter 10 Solutions
Algebra 2: New York Edition (holt Mcdougal Larson Algebra 2)
Ch. 10.1 - Prob. 1GPCh. 10.1 - Prob. 2GPCh. 10.1 - Prob. 3GPCh. 10.1 - Prob. 4GPCh. 10.1 - Prob. 5GPCh. 10.1 - Prob. 6GPCh. 10.1 - Prob. 7GPCh. 10.1 - Prob. 8GPCh. 10.1 - Prob. 9GPCh. 10.1 - Prob. 10GP
Ch. 10.1 - Prob. 11GPCh. 10.1 - Prob. 12GPCh. 10.1 - Prob. 13GPCh. 10.1 - Prob. 1ECh. 10.1 - Prob. 2ECh. 10.1 - Prob. 3ECh. 10.1 - Prob. 4ECh. 10.1 - Prob. 5ECh. 10.1 - Prob. 6ECh. 10.1 - Prob. 7ECh. 10.1 - Prob. 8ECh. 10.1 - Prob. 9ECh. 10.1 - Prob. 10ECh. 10.1 - Prob. 11ECh. 10.1 - Prob. 12ECh. 10.1 - Prob. 13ECh. 10.1 - Prob. 14ECh. 10.1 - Prob. 15ECh. 10.1 - Prob. 16ECh. 10.1 - Prob. 17ECh. 10.1 - Prob. 18ECh. 10.1 - Prob. 19ECh. 10.1 - Prob. 20ECh. 10.1 - Prob. 21ECh. 10.1 - Prob. 22ECh. 10.1 - Prob. 23ECh. 10.1 - Prob. 24ECh. 10.1 - Prob. 25ECh. 10.1 - Prob. 26ECh. 10.1 - Prob. 27ECh. 10.1 - Prob. 28ECh. 10.1 - Prob. 29PSCh. 10.1 - Prob. 30PSCh. 10.1 - Prob. 31PSCh. 10.1 - Prob. 32PSCh. 10.1 - Prob. 33PSCh. 10.2 - Prob. 1GPCh. 10.2 - Prob. 2GPCh. 10.2 - Prob. 3GPCh. 10.2 - Prob. 4GPCh. 10.2 - Prob. 5GPCh. 10.2 - Prob. 6GPCh. 10.2 - Prob. 7GPCh. 10.2 - Prob. 1ECh. 10.2 - Prob. 2ECh. 10.2 - Prob. 3ECh. 10.2 - Prob. 4ECh. 10.2 - Prob. 5ECh. 10.2 - Prob. 6ECh. 10.2 - Prob. 7ECh. 10.2 - Prob. 8ECh. 10.2 - Prob. 9ECh. 10.2 - Prob. 10ECh. 10.2 - Prob. 11ECh. 10.2 - Prob. 12ECh. 10.2 - Prob. 13ECh. 10.2 - Prob. 14ECh. 10.2 - Prob. 15ECh. 10.2 - Prob. 16ECh. 10.2 - Prob. 17ECh. 10.2 - Prob. 18ECh. 10.2 - Prob. 19ECh. 10.2 - Prob. 20ECh. 10.2 - Prob. 21ECh. 10.2 - Prob. 22ECh. 10.2 - Prob. 23ECh. 10.2 - Prob. 24ECh. 10.2 - Prob. 25ECh. 10.2 - Prob. 26ECh. 10.2 - Prob. 27ECh. 10.2 - Prob. 28ECh. 10.2 - Prob. 29ECh. 10.2 - Prob. 30ECh. 10.2 - Prob. 31ECh. 10.2 - Prob. 32ECh. 10.2 - Prob. 33ECh. 10.2 - Prob. 34ECh. 10.2 - Prob. 35ECh. 10.2 - Prob. 36ECh. 10.2 - Prob. 37ECh. 10.2 - Prob. 38ECh. 10.2 - Prob. 39ECh. 10.2 - Prob. 40ECh. 10.2 - Prob. 41ECh. 10.2 - Prob. 42ECh. 10.2 - Prob. 43ECh. 10.2 - Prob. 44ECh. 10.2 - Prob. 45ECh. 10.2 - Prob. 46ECh. 10.2 - Prob. 47ECh. 10.2 - Prob. 48ECh. 10.2 - Prob. 49ECh. 10.2 - Prob. 50PSCh. 10.2 - Prob. 51PSCh. 10.2 - Prob. 52PSCh. 10.2 - Prob. 53PSCh. 10.2 - Prob. 54PSCh. 10.2 - Prob. 55PSCh. 10.2 - Prob. 1QCh. 10.2 - Prob. 2QCh. 10.2 - Prob. 3QCh. 10.2 - Prob. 4QCh. 10.2 - Prob. 5QCh. 10.2 - Prob. 6QCh. 10.2 - Prob. 7QCh. 10.2 - Prob. 8QCh. 10.2 - Prob. 9QCh. 10.2 - Prob. 10QCh. 10.2 - Prob. 11QCh. 10.2 - Prob. 12QCh. 10.2 - Prob. 13QCh. 10.2 - Prob. 1DCCh. 10.2 - Prob. 2DCCh. 10.2 - Prob. 3DCCh. 10.2 - Prob. 4DCCh. 10.2 - Prob. 5DCCh. 10.2 - Prob. 6DCCh. 10.2 - Prob. 7DCCh. 10.2 - Prob. 8DCCh. 10.2 - Prob. 9DCCh. 10.2 - Prob. 10DCCh. 10.3 - Prob. 1GPCh. 10.3 - Prob. 2GPCh. 10.3 - Prob. 3GPCh. 10.3 - Prob. 4GPCh. 10.3 - Prob. 5GPCh. 10.3 - Prob. 6GPCh. 10.3 - Prob. 7GPCh. 10.3 - Prob. 8GPCh. 10.3 - Prob. 9GPCh. 10.3 - Prob. 1ECh. 10.3 - Prob. 2ECh. 10.3 - Prob. 3ECh. 10.3 - Prob. 4ECh. 10.3 - Prob. 5ECh. 10.3 - Prob. 6ECh. 10.3 - Prob. 7ECh. 10.3 - Prob. 8ECh. 10.3 - Prob. 9ECh. 10.3 - Prob. 10ECh. 10.3 - Prob. 11ECh. 10.3 - Prob. 12ECh. 10.3 - Prob. 13ECh. 10.3 - Prob. 14ECh. 10.3 - Prob. 15ECh. 10.3 - Prob. 16ECh. 10.3 - Prob. 17ECh. 10.3 - Prob. 18ECh. 10.3 - Prob. 19ECh. 10.3 - Prob. 20ECh. 10.3 - Prob. 21ECh. 10.3 - Prob. 22ECh. 10.3 - Prob. 23ECh. 10.3 - Prob. 24ECh. 10.3 - Prob. 25ECh. 10.3 - Prob. 26ECh. 10.3 - Prob. 27ECh. 10.3 - Prob. 28ECh. 10.3 - Prob. 29ECh. 10.3 - Prob. 30ECh. 10.3 - Prob. 31ECh. 10.3 - Prob. 32ECh. 10.3 - Prob. 33ECh. 10.3 - Prob. 34ECh. 10.3 - Prob. 35ECh. 10.3 - Prob. 36ECh. 10.3 - Prob. 37ECh. 10.3 - Prob. 38ECh. 10.3 - Prob. 39PSCh. 10.3 - Prob. 40PSCh. 10.3 - Prob. 41PSCh. 10.3 - Prob. 42PSCh. 10.3 - Prob. 43PSCh. 10.3 - Prob. 44PSCh. 10.3 - Prob. 45PSCh. 10.4 - Prob. 1GPCh. 10.4 - Prob. 2GPCh. 10.4 - Prob. 3GPCh. 10.4 - Prob. 4GPCh. 10.4 - Prob. 5GPCh. 10.4 - Prob. 6GPCh. 10.4 - Prob. 7GPCh. 10.4 - Prob. 1ECh. 10.4 - Prob. 2ECh. 10.4 - Prob. 3ECh. 10.4 - Prob. 4ECh. 10.4 - Prob. 5ECh. 10.4 - Prob. 6ECh. 10.4 - Prob. 7ECh. 10.4 - Prob. 8ECh. 10.4 - Prob. 9ECh. 10.4 - Prob. 10ECh. 10.4 - Prob. 11ECh. 10.4 - Prob. 12ECh. 10.4 - Prob. 13ECh. 10.4 - Prob. 14ECh. 10.4 - Prob. 15ECh. 10.4 - Prob. 16ECh. 10.4 - Prob. 17ECh. 10.4 - Prob. 18ECh. 10.4 - Prob. 19ECh. 10.4 - Prob. 20ECh. 10.4 - Prob. 21ECh. 10.4 - Prob. 22ECh. 10.4 - Prob. 23ECh. 10.4 - Prob. 24ECh. 10.4 - Prob. 25ECh. 10.4 - Prob. 26ECh. 10.4 - Prob. 27ECh. 10.4 - Prob. 28ECh. 10.4 - Prob. 29ECh. 10.4 - Prob. 30ECh. 10.4 - Prob. 31ECh. 10.4 - Prob. 32ECh. 10.4 - Prob. 33ECh. 10.4 - Prob. 34ECh. 10.4 - Prob. 35ECh. 10.4 - Prob. 36ECh. 10.4 - Prob. 37ECh. 10.4 - Prob. 38ECh. 10.4 - Prob. 39ECh. 10.4 - Prob. 40ECh. 10.4 - Prob. 41PSCh. 10.4 - Prob. 42PSCh. 10.4 - Prob. 43PSCh. 10.4 - Prob. 44PSCh. 10.4 - Prob. 45PSCh. 10.4 - Prob. 1PCh. 10.4 - Prob. 2PCh. 10.4 - Prob. 3PCh. 10.4 - Prob. 4PCh. 10.4 - Prob. 5PCh. 10.4 - Prob. 6PCh. 10.4 - Prob. 7PCh. 10.4 - Prob. 8PCh. 10.4 - Prob. 9PCh. 10.4 - Prob. 1MRPSCh. 10.4 - Prob. 2MRPSCh. 10.4 - Prob. 3MRPSCh. 10.4 - Prob. 4MRPSCh. 10.4 - Prob. 5MRPSCh. 10.4 - Prob. 6MRPSCh. 10.4 - Prob. 7MRPSCh. 10.5 - Prob. 1GPCh. 10.5 - Prob. 2GPCh. 10.5 - Prob. 3GPCh. 10.5 - Prob. 4GPCh. 10.5 - Prob. 1ECh. 10.5 - Prob. 2ECh. 10.5 - Prob. 3ECh. 10.5 - Prob. 4ECh. 10.5 - Prob. 5ECh. 10.5 - Prob. 6ECh. 10.5 - Prob. 7ECh. 10.5 - Prob. 8ECh. 10.5 - Prob. 9ECh. 10.5 - Prob. 10ECh. 10.5 - Prob. 11ECh. 10.5 - Prob. 12ECh. 10.5 - Prob. 13ECh. 10.5 - Prob. 14ECh. 10.5 - Prob. 15ECh. 10.5 - Prob. 16ECh. 10.5 - Prob. 17ECh. 10.5 - Prob. 18ECh. 10.5 - Prob. 19ECh. 10.5 - Prob. 20ECh. 10.5 - Prob. 21ECh. 10.5 - Prob. 22ECh. 10.5 - Prob. 23PSCh. 10.5 - Prob. 24PSCh. 10.5 - Prob. 25PSCh. 10.5 - Prob. 26PSCh. 10.5 - Prob. 27PSCh. 10.5 - Prob. 28PSCh. 10.5 - Prob. 29PSCh. 10.5 - Prob. 1QCh. 10.5 - Prob. 2QCh. 10.5 - Prob. 3QCh. 10.5 - Prob. 4QCh. 10.5 - Prob. 5QCh. 10.5 - Prob. 6QCh. 10.5 - Prob. 7QCh. 10.5 - Prob. 8QCh. 10.5 - Prob. 9QCh. 10.5 - Prob. 10QCh. 10.5 - Prob. 11QCh. 10.5 - Prob. 12QCh. 10.5 - Prob. 3DCCh. 10.5 - Prob. 4DCCh. 10.6 - Prob. 1GPCh. 10.6 - Prob. 2GPCh. 10.6 - Prob. 3GPCh. 10.6 - Prob. 4GPCh. 10.6 - Prob. 5GPCh. 10.6 - Prob. 6GPCh. 10.6 - Prob. 7GPCh. 10.6 - Prob. 8GPCh. 10.6 - Prob. 9GPCh. 10.6 - Prob. 1ECh. 10.6 - Prob. 2ECh. 10.6 - Prob. 3ECh. 10.6 - Prob. 4ECh. 10.6 - Prob. 5ECh. 10.6 - Prob. 6ECh. 10.6 - Prob. 7ECh. 10.6 - Prob. 8ECh. 10.6 - Prob. 9ECh. 10.6 - Prob. 10ECh. 10.6 - Prob. 11ECh. 10.6 - Prob. 12ECh. 10.6 - Prob. 13ECh. 10.6 - Prob. 14ECh. 10.6 - Prob. 15ECh. 10.6 - Prob. 16ECh. 10.6 - Prob. 17ECh. 10.6 - Prob. 18ECh. 10.6 - Prob. 19ECh. 10.6 - Prob. 20ECh. 10.6 - Prob. 21ECh. 10.6 - Prob. 22ECh. 10.6 - Prob. 23ECh. 10.6 - Prob. 24ECh. 10.6 - Prob. 25ECh. 10.6 - Prob. 26ECh. 10.6 - Prob. 27ECh. 10.6 - Prob. 28ECh. 10.6 - Prob. 29ECh. 10.6 - Prob. 30ECh. 10.6 - Prob. 31ECh. 10.6 - Prob. 32ECh. 10.6 - Prob. 33ECh. 10.6 - Prob. 34ECh. 10.6 - Prob. 35ECh. 10.6 - Prob. 36ECh. 10.6 - Prob. 37ECh. 10.6 - Prob. 38ECh. 10.6 - Prob. 39ECh. 10.6 - Prob. 40PSCh. 10.6 - Prob. 41PSCh. 10.6 - Prob. 42PSCh. 10.6 - Prob. 43PSCh. 10.6 - Prob. 44PSCh. 10.6 - Prob. 45PSCh. 10.7 - Prob. 1GPCh. 10.7 - Prob. 2GPCh. 10.7 - Prob. 3GPCh. 10.7 - Prob. 4GPCh. 10.7 - Prob. 5GPCh. 10.7 - Prob. 6GPCh. 10.7 - Prob. 7GPCh. 10.7 - Prob. 8GPCh. 10.7 - Prob. 9GPCh. 10.7 - Prob. 10GPCh. 10.7 - Prob. 11GPCh. 10.7 - Prob. 12GPCh. 10.7 - Prob. 13GPCh. 10.7 - Prob. 14GPCh. 10.7 - Prob. 1ECh. 10.7 - Prob. 2ECh. 10.7 - Prob. 3ECh. 10.7 - Prob. 4ECh. 10.7 - Prob. 5ECh. 10.7 - Prob. 6ECh. 10.7 - Prob. 7ECh. 10.7 - Prob. 8ECh. 10.7 - Prob. 9ECh. 10.7 - Prob. 10ECh. 10.7 - Prob. 11ECh. 10.7 - Prob. 12ECh. 10.7 - Prob. 13ECh. 10.7 - Prob. 14ECh. 10.7 - Prob. 15ECh. 10.7 - Prob. 16ECh. 10.7 - Prob. 17ECh. 10.7 - Prob. 18ECh. 10.7 - Prob. 19ECh. 10.7 - Prob. 20ECh. 10.7 - Prob. 21ECh. 10.7 - Prob. 22ECh. 10.7 - Prob. 23ECh. 10.7 - Prob. 24ECh. 10.7 - Prob. 25ECh. 10.7 - Prob. 26ECh. 10.7 - Prob. 27ECh. 10.7 - Prob. 28ECh. 10.7 - Prob. 29ECh. 10.7 - Prob. 30ECh. 10.7 - Prob. 31ECh. 10.7 - Prob. 32ECh. 10.7 - Prob. 33ECh. 10.7 - Prob. 34ECh. 10.7 - Prob. 35ECh. 10.7 - Prob. 36ECh. 10.7 - Prob. 37ECh. 10.7 - Prob. 38ECh. 10.7 - Prob. 39ECh. 10.7 - Prob. 40ECh. 10.7 - Prob. 41ECh. 10.7 - Prob. 42ECh. 10.7 - Prob. 43ECh. 10.7 - Prob. 44ECh. 10.7 - Prob. 45ECh. 10.7 - Prob. 46ECh. 10.7 - Prob. 47ECh. 10.7 - Prob. 48ECh. 10.7 - Prob. 49ECh. 10.7 - Prob. 50PSCh. 10.7 - Prob. 51PSCh. 10.7 - Prob. 52PSCh. 10.7 - Prob. 53PSCh. 10.7 - Prob. 54PSCh. 10.7 - Prob. 55PSCh. 10.7 - Prob. 56PSCh. 10.7 - Prob. 1QCh. 10.7 - Prob. 2QCh. 10.7 - Prob. 3QCh. 10.7 - Prob. 4QCh. 10.7 - Prob. 5QCh. 10.7 - Prob. 6QCh. 10.7 - Prob. 7QCh. 10.7 - Prob. 8QCh. 10.7 - Prob. 9QCh. 10.7 - Prob. 1MRPSCh. 10.7 - Prob. 2MRPSCh. 10.7 - Prob. 3MRPSCh. 10.7 - Prob. 4MRPSCh. 10.7 - Prob. 5MRPSCh. 10 - Prob. 1VECh. 10 - Prob. 2VECh. 10 - Prob. 3VECh. 10 - Prob. 4VECh. 10 - Prob. 5VECh. 10 - Prob. 6REAECh. 10 - Prob. 7REAECh. 10 - Prob. 8REAECh. 10 - Prob. 9REAECh. 10 - Prob. 10REAECh. 10 - Prob. 11REAECh. 10 - Prob. 12REAECh. 10 - Prob. 13REAECh. 10 - Prob. 14REAECh. 10 - Prob. 15REAECh. 10 - Prob. 16REAECh. 10 - Prob. 17REAECh. 10 - Prob. 18REAECh. 10 - Prob. 19REAECh. 10 - Prob. 20REAECh. 10 - Prob. 21REAECh. 10 - Prob. 22REAECh. 10 - Prob. 23REAECh. 10 - Prob. 24REAECh. 10 - Prob. 25REAECh. 10 - Prob. 26REAECh. 10 - 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