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:
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Answer:
325 animals
Step-by-step explanation:
All you have to do is add all of the animals together.
85+70+65+60+45= 155+125+45=155+170=325 animals
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Grandma should be able to make three slices of French toast by slicing one of the original slices into two.
<h3>How can grandma make three slices of French toast?</h3>
- Put two slices of bread in the pan and cook them for one minute (first minute)
- Turn both slices over and cook ( second minute)
- Remove both slices and slice one of this into two. This will mean the new slices will have one side cooked and another one that is not cooked.
- Cook these thinner slices (third minute).
- The result would be three cooked slices, although two of them would be thinner.
Learn more about French toast in: brainly.com/question/11713135
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Answer:
center:
(-0.25, 5)
foci :
(-0.25, 0.158771) | (-0.25, 9.84123)
vertices :
(-0.25, -0.59017) | (-0.25, 10.5902)
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