Answer:

Step-by-step explanation:
Given

Required
Determine the area with coordinates 
The area is represented as:

Where

and

Substitute values for r, a and b in


Expand


By integratin the above, we get:
![Area = \frac{1}{2}*\frac{(cos(\theta) + 4)sin(\theta) + 3\theta}{2}[0,2]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B1%7D%7B2%7D%2A%5Cfrac%7B%28cos%28%5Ctheta%29%20%2B%204%29sin%28%5Ctheta%29%20%2B%203%5Ctheta%7D%7B2%7D%5B0%2C2%5D)
![Area = \frac{(cos(\theta) + 4)sin(\theta) + 3\theta}{4}[0,2]](https://tex.z-dn.net/?f=Area%20%3D%20%5Cfrac%7B%28cos%28%5Ctheta%29%20%2B%204%29sin%28%5Ctheta%29%20%2B%203%5Ctheta%7D%7B4%7D%5B0%2C2%5D)
Substitute 0 and 2 for
one after the other





Get sin(2) and cos(2) in radians



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There is no "last term." Since the pattern is increasing by .03 each time, then the pattern continues forever.
Answer:
1/3
Step-by-step explanation:
1/3 because 8/12 + 1/3 is 1 whole