Concept explainers
a)
To make: A table of values giving the position
Table is as follows.
Given:
The path of the basketball can be modeled by the parametric equations
Calculation:
Substitute
Substitute
When
Similarly, we can find
Organize the results in a table.
b)
To graph: The parametric equations.
Graph is as follows.
Given:
The path of the basketball can be modeled by the parametric equations
Graph:
Plot the points
Join the points with a smooth curve.
c)
To solve: The position of the basketball rim is
The player does not make the free throw as the height of the ball is above the backboard.
Given:
The path of the basketball can be modeled by the parametric equations
Calculation:
From the table obtained in part
Since the height of the ball is above the backboard, the player does not make the free throw.
Chapter 1 Solutions
Holt Mcdougal Larson Algebra 2: Student Edition 2012
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