sylvia rented a boat for $16.50 per hour. Her total rental fee was 49.50. For how many hours did Sylvia rent the boat
1 answer:
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The area of the surface generated by revolving the curve about the axis y = 9-x² is 12π
<h3>What is a revolution on a graph? or curve?</h3>
Surfaces of revolution are graphs of functions f(x,y) that rely exclusively on the distance from the origin of the point (x,y).
Polar coordinates (r,) are one approach to discuss such surfaces. A "surface of revolution" is formed by rotating a curve around an axis.
Consider a curve with coordinates x and z in the "x0" half of the Euclidean plane.
<h3>What is the calculation justifying the above answer?</h3>y = √(9-x²)
⇒ dy = (-2x)/2√9-x²)
= -x/√(9-x²)
Note that surface area (s) is given as:
√1 + (dy/dx)² dx
= 2
√9-x² * √[1 + (-x)/√9-x²)]dx
= 2π 3dx
= 6π [x]₋¹₁
= 6π (1-(-1)
= 6π (2)
= 12π
Learn more about revolving on a curve:
brainly.com/question/2293431
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For this case, we have the following equation of the second degree:
If we divide between 2 on both sides of the equation, we will have:
Where:
The solutions will come from:
Substituting:
So, we have:
Answer:
Option A
Option E