Concept explainers
a.
Use the regression feature of a graphing utility to find a model of the form
a.
Answer to Problem 48E
Explanation of Solution
Given information:
The table shows the measurements (in feet) of a lot bounded by a stream and two straight roads that meet at right angles (see figure).
Use the regression feature of a graphing utility to find a model of the form
Calculation:
Consider the following table
To determine the regresion model using the graphing utility
Press stat, the display will be
Now select edit, the display will be
Now provide the data under the columns of list 1 and list 2.
Now press stat and choose calc, the display will be
Now choose cubic reg. the display will be
Now press enter. The display will be
Hence the cubic regression model of the above data is
b.
Plot a utility graph.
b.
Answer to Problem 48E
Explanation of Solution
Given information:
The table shows the measurements (in feet) of a lot bounded by a stream and two straight roads that meet at right angles (see figure).
Use the graphing utility to plot the data and graph the model in the same viewing window.
Calculation:
Consider the following table
To plot the data, proceed as follows.
Press 2nd Y. The display will be
Now press enter and choose on. The display will be
Now press Window to choose the proper scale. The display will be
Now press graph, the display will be
To plot the regression equation, proceed as follows.
Now press
Now provide the equation, the display will be
Now press graph, the display will be
c.
Find the area of the lot.
c.
Answer to Problem 48E
Explanation of Solution
Given information:
The table shows the measurements (in feet) of a lot bounded by a stream and two straight roads that meet at right angles (see figure).
Use the model in part (a) to estimate the area of the lot.
Calculation:
Define the dimensions of the rectangles as follows:
Width:
Height:
Hence,
Now approximate the area as the sum of the areas of
Now use the properties of summations.
Now find the exact area by taking the limit as
Divide individually within the paranthesis
Now replace
Hence, the under the curve is
Chapter 12 Solutions
EBK PRECALCULUS W/LIMITS
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- Calculus: Early TranscendentalsCalculusISBN:9781319050740Author:Jon Rogawski, Colin Adams, Robert FranzosaPublisher:W. H. FreemanCalculus: Early Transcendental FunctionsCalculusISBN:9781337552516Author:Ron Larson, Bruce H. EdwardsPublisher:Cengage Learning