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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Answer:
y = 300
Step-by-step explanation:
The equation of variation in which y varies directly as x is written Mathematically as:
y ∝ x
y = k × x
y = kx
Where k = Proportionality Constant
We find k
a) y = 60 when x = 0.4.
60 = 0.4 × k
k = 60/0.4
k = 150
b) find the value of y when x = 2
y = kx
k = 150
Hence,
y = 150 × 2
y = 300
Answer
Here you go double check to make sure
The value of x is 36.
Solution:
Given angles of a triangle are 2x°, 2x° and x°.
To find the value of x:
<em>Sum of the all the angles of a triangle = 180°</em>
2x° + 2x° + x° = 180°
5x° = 180°
Divide by 5 on both sides of the equation.
x° = 36°
x = 36
The value of x is 36.
Answer:
Hypotenuse
Step-by-step explanation:
For this problem you are given the vertical and horizontal sides of the triangle. The flagpole (6.5 meters) is the up-and-down triangle side and the distance from the hook to the flagpole is the base (5.2 meters) of the triangle.
Hope this helps!
