State the degree for the polynomial:
2 answers:
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Answer:
D
Step-by-step explanation:
1. Remind that
Here you can use trigonometric table to find the value of , or you can remind that
and
because special right triangle 45°-45°-90° is isosceles (with congruent oppposite and adjacent legs) and the ratio between the opposite leg and adjacent leg is equal to 1.
2. Now
because
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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