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To find:
a. and , and interpret the meaning of each.
![Check Mark](/static/check-mark.png)
Answer to Problem 27AYU
Solution:
a. The intensity of the sun rays is approximately , the area of the solar panel is .
Explanation of Solution
Given:
and . The total number of watts collected by the panel is given by .
Calculation:
a. If denotes the position
Thus the vector is ,
Now the area of the vector is,
Therefore the vector is ,
Therefore the intensity of the sun rays is approximately ,
The area of the solar panel is .
To find:
b. Compute and interpret its meaning.
![Check Mark](/static/check-mark.png)
Answer to Problem 27AYU
Solution:
b. watts of energy is collected.
Explanation of Solution
Given:
and . The total number of watts collected by the panel is given by .
Calculation:
b.
watts of energy is collected.
To find:
c. If the solar panel is to collect the maximum number of watts, what must be true about and ?
![Check Mark](/static/check-mark.png)
Answer to Problem 27AYU
Solution:
c. The vectors and should be parallel with solar panel facing the sun.
Explanation of Solution
Given:
and . The total number of watts collected by the panel is given by .
Calculation:
c.
Therefore the vectors and should be parallel with solar panel facing the sun.
Chapter 9 Solutions
Precalculus
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