Concept explainers
Find the inverse of the model. Then find the waterline length needed to achieve a maximum speed of 7.5 knots.
Waterline length needed to achieve a maximum speed (v) of 7.5 knots is
Given information:
The maximum hull speed v (in knots) of a boat with a displacement hull can be approximated by
Concept used:
In order to find the inverse of a function
Step 1: interchange x and y in the given function
Step 2: solve for y and that will give the required inverse function
Calculation:
The inverse of model
Thus the inverse of the given function
The waterline length needed to achieve a maximum speed (v) of 7.5 knots is −
So the waterline length needed to achieve a maximum speed (v) of 7.5 knots is
Chapter 3 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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