
Concept explainers
(a)
To draw: a
(a)

Answer to Problem 26AYU
Explanation of Solution
Given:
Calculation:
draw scatter diagram of the data and find the type of relation that may existbetween the two variables.
From the above scatter graph of data it is found that there is quadratic relation between the twovariables.
Conclusion:
Thus, the scatter diagram is drawn.
(b)
To find: the quadratic function of best fit
(b)

Answer to Problem 26AYU
The relation between distance and height is
Explanation of Solution
Calculation:
Using the graph utility, the quadratic function of best fit that models the relation between
distance and height is
Conclusion:
The relation between distance and height is
(c)
the distance that the ball will travel before it reaches its maximum height.
(c)

Answer to Problem 26AYU
Hence, the distance is
Explanation of Solution
Calculation:
To determine the distance the ball will travel before it reaches its maximum height, take the
derivative of
Hence, the distance is
Conclusion:
Hence, the distance is
(d)
To find: the maximum height of the ball.
(d)

Answer to Problem 26AYU
Hence, the height is
Explanation of Solution
Calculation:
To find the maximum height, substitute
Hence, the height is
Conclusion:
Hence, the height is
(e)
To graph: the quadratic function of best fit on the scatter diagram.
(e)

Answer to Problem 26AYU
Explanation of Solution
Calculation:
Using the graph utility the quadratic function of best fit on the scatter diagram is given below:
Conclusion:
Thus, the required graph is drawn.
Chapter 3 Solutions
Precalculus
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