8 points and brainliest answer if you get it right
2 answers:
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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 ...
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* 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.
Complete Question
The complete question is shown on the first uploaded image
Answer:
a
b
c
The correct option is D
Step-by-step explanation:
From the question we are told that
The margin of error is
The largest value is k = 15
The smallest value is u = 7
From the question we are told the confidence level is 95% , hence the level of significance is
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Generally from the normal distribution table the critical value of is
Generally population standard deviation estimate is mathematically represented as
Here the Range is mathematically represented as
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Generally the sample size is mathematically represented as
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Generally to obtain a conservatively small sample size the population standard deviation estimate becomes
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Generally the conservatively small sample size is mathematically evaluated as
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