a spherical tank 6 m in diameter can be filled with a liquid for $ 700, find the cost to fill a tank 24 m in diameter
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The circle's perimeter is determined by F = -9π, according to green's theorem.
<h3>What is Green's theorem?</h3>The simple formula for Green's theorem is the link between the total amount of microscopic circulation inside curve C and the macroscopic circulation revolving around it.
Remembering that we are talking about two dimensions, if C is a straightforward closed curve in the plane, it will enclose the region D (shown in red) in the plane.
So, knowing that this exercise should be solved using Green's theorem, then:
You must convert in this manner to polar coordinates, and the result will be:
Therefore, the circle's perimeter is determined by F = -9π, according to green's theorem.
Know more about Green's theorem here:
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Correct question;
Suppose F⃗ (x,y)=4yi⃗ +2xyj⃗ . Use Green's Theorem to calculate the circulation of F⃗ around the perimeter of a circle C of radius 3 centered at the origin and oriented counter-clockwise.