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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5 part marker and 1 part pencil 5+1=6 54/6=9 9 pencils 9 times 5 45 markers
Answer: 12,150 m²
<u>Step-by-step explanation:</u>
The ratio is 3:2 which means
Length (L) = 3x
Width (w) = 2x
Perimeter (P) = 2L + 2w
450 = 2(3x) + 2(2x)
450 = 6x + 4x
450 = 10x
45 = x
L = 3x w = 2x
= 3(45) = 2(45)
= 135 = 90
Area (A) = L × w
= 135 × 90
= 12,150
Answer:
You didn't include any image here, but numerically, the amount of paper consumed this month is 125% compared to last month.
If last month's consumption is represented by 4 equal shapes, then the current month's consumption will be 5 shapes.
If last month's consumption is represented by 8 equal shapes, then the current month's consumption will be 10 shapes.
this pattern keeps repeating.
Answer:
102.3 kilometers per hour
Step-by-step explanation:
A car travel the distance of D equals 450 km for T equals 4.4 hours at a constant rate. What is the speed of the car in kilometers per hour
The formula to calculate Speed = Distance (Kilometers)/ Time(hours)
The speed of the car = 450km/4.4 hours
102.27272727 kilometers per hour
Approximately = 102.3 kilometers per hour