Concept explainers
a.
To find:the normal form of the line.
a.
Answer to Problem 35E
Explanation of Solution
Given information:
Calculation:
In the given equation, the value of
Thus, the normal for of line is
b.
To find:the value of
b.
Answer to Problem 35E
Explanation of Solution
Given information:
Replace
The equation evaluated in part a. is
Calculation:
Since the normal equation of line is
Now replace
Now replace the value of
The new line is the normal line that is rotated by
c.
To test:the Armando’s conjecture by selecting any value of
c.
Answer to Problem 35E
The new line is the normal line that is rotated by
Explanation of Solution
Given information:
Armando tries to rotate the graph of line
The value of
The value of
Calculation:
Let
The normal form of new line equation is
Now sketch a graph for new line equation with the help of graphing calculator.
Thus, the new line is the normal line that is rotated by
d.
To explain:whether Armando is correct by including graph in your result.
d.
Answer to Problem 35E
Yes,Armando’s hypothesis is correct.
Explanation of Solution
Given information:
Armando tries to rotate the graph of line
Calculation:
The results obtained in part b. and c., the line with normal form
Chapter 7 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
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