Explanation:
The key to area in polar coordinates is the formula for the area of a sector:
a = (1/2)r²θ
Then a differential of area* can be written as ...
da = (1/2)r²·dθ
Filling in the given function for r, we have ...
da = (1/2)(4cos(3θ))²·dθ = 8cos(3θ)²·dθ
The integral will have limits corresponding to the range of values of θ for one loop of the graph: -π/6 to π/6. So, the area is ...
_____
* As with other approaches to finding area (horizontal or vertical slice, for example), we assume that the differential element dθ is sufficiently small that we need not concern ourselves with the fact that r is a function of θ.
Answer:
1.600
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Step-by-step explanation:
We have the equation:
8 ÷ 5 = 1.600
Calculated to 3 decimal places.
1. 6 0 0
5 8. 0 0 0
− 5
3 0
− 3 0
0 0
− 0
0 0
− 0
0
Answer:
Since it is area, it is most defined as base times height, so the larger rectangle would be 9x14 which is 126 and the smaller rectangle is 6x8 which is 48, and since they are together in one shape, you can add both areas which would give you an answer of 174
Step-by-step explanation:
Answer:
They both have the same slope.
They have different y- intercepts.
They have no solution.
Please let me know, if I am right or wrong. I try my best to give correct answers
