The region is a segment of a circle with radius √2 lying above the line . In polar coordinates, this line has equation
and the circle has equation
The two curves meet when
Then the same integral in polar coordinates is
Answer:
Step-by-step explanation:
The circumference of a circle is the distance around the circle.
The formula for determining the circumference of the circle is expressed as
Circumference = 2πr
If the circumference of the inner circle is 44ft, the radius of the inner circle would be
2πr = 44
2 × 3.14 × r = 44
r = 44/6.28 = 7
The radius of the outer circle would be 7 + 3 = 10ft
Therefore, the circumference of the outer circle would be
2 × 3.14 × 10 = 62.8 ft
The difference in the circumference of the inner circle and the outer circle is
62.8 - 44 = 18.8 ft
-8(3 - s) = 32
So you expand the brackets
-24 + 8s = 32
And then solve
+ 24
8s = 56
÷ 8
s = 7
Hope this helps!
The slope of the given line is 5. The correct answer is the second option<em>- slope = 5</em>
<h3>Slope of a line</h3>
From the question, we are to determine the slope of the line in the diagram
Using the formula,
m = (y₂ - y₁)/(x₂ - x₁)
Where m is the slope
To determine the slope of the line, we will pick two points on the line.
Using the points (1, 0) and (0, -5).
Thus,
x₁ = 1
y₁ = 0
x₂ = 0
y₂ = -5
Putting the values into the equation
m = (y₂ - y₁)/(x₂ - x₁)
m = (-5 - 0)/(0 - 1)
m = -5/ -1
m = 5
Hence, the slope of the given line is 5. The correct answer is the second option<em>- slope = 5</em>
Learn more on Slope of a line here: brainly.com/question/1884491
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