Concept explainers
(a)
To draw:a diagram that shows the base
(a)
Answer to Problem 6E
Explanation of Solution
Given:
Right triangle with a hypotenuse of
Calculation:
Here, draw a triangle with the specified hypotenuse length of V18, a base
Theorem:
Conclusion:
Thus, the required diagram is drawn.
(b)
To verify:the area
(b)
Explanation of Solution
Given:
Proof:
The area of a triangle is given by
Conclusion:
Thus,the area
(c)
To complete:the table,observe the behavior and find the limit.
(c)
Answer to Problem 6E
Explanation of Solution
Given:
Calculation:
2 | 2.5 | 2.9 | 3 | 3.1 | 3.5 | 4 | |
3.74 | 4.28 | 4.49 | 4.50 | 4.49 | 4.20 | 2.83 |
From the table above, the function appears to take values close to
Conclusion:
The value of the limit is
(d)
To graph:the areas functions and verify that the area is maximum when
(d)
Answer to Problem 6E
Explanation of Solution
Proof:
Graphing this function, it takes its highest value when
Conclusion:
Thus, the area is maximum when
Chapter 11 Solutions
PRECALCULUS W/LIMITS:GRAPH.APPROACH(HS)
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