Find the exact area of the surface obtained by rotating the curve about the x-axis. y = x3, 0

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y x3,

A: To determine the exact area of the surface obtained by rotating the curve about the x-axis.

Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: We know that surface area generated when the given curve is revolved about the given axis…

Q: y = 4x3 from x = 0 to x = 6 about the x-axis. The area is

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y3…

A: We know that area of surface generated by revolving the curve y=f(x) about x-axis from x=a to x=b is

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A: We know that,

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y=- x2 +…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=…

A: Answer is mentioned below

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. 4x = y? + 20,…

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Q: a). ii) Find the exact area of the surface obtained by rotating the curve 1 + 2 6x M about the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. =x²+²x≤x≤1 3x 2…

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Q: Solve parts these 2 parts of the question. Image attached.

A: To determine the area of the surface of rotation about the x-axis.

Q: ) Find the area of the surface obtained by rotating the curve y=4x^3 from x=0 to x=2 about the…

A: Use surface area formula about x axis

Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: Find the exact area of the surface obtained by rotating the curve about the y- axis: y = 3 + 5x?,…

A: Consider the given function and interval. y=3+5x2, 3≤x≤8 If y=f(x) is function and the interval of y…

Q: 5.Find the area of the surface generated by revolving the given curve about the y-axis. x = /9- y, -…

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Q: Find the area of the surface generated when the curve y = √(5x − x2) for 1 ≤ x ≤ 4 is revolved about…

A: Given : Curve y= √(5x − x2)  For 1 ≤ x ≤ 4 is revolved about the x-axis.

Q: 2. (a) Find the exact surface area that is generated by revolving the portion of the curve y = x²…

A: Given A surface area that is generated by revolving the portion of the curve y = x2 between x = 2…

Q: Find the surface area of the frustum y=(8x)^1/3​, for 0≤x≤8​; about the​ y-axis.

A: Given that, y=8x130≤x≤8

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. X₁ 1 y=6 1…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt(7-x),…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.…

A: Introduction: The formula for the surface area of the curve y=f(x) from a to b , when the curve is…

Q: Find the area of the surface generated by revolving the curve y = /2x- x2 , 0.5 sxS1.25, about the…

A: Surface area = 2π

Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 392x The…

A: We have to find the area of surface.

Q: Find the area of the surface generated when the given curve is revolved about the y-axis. The part…

A: Find the surface area revolved about y-axis.The given curve is y = 15x – 4 between the points (8/15,…

Q: find the area of the surface generated when the given is revolved about the given axis y = 8√x, for…

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Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 5 about the x-axis.…

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Q: The figure shows the surface created when the cylinder y2 + z2 =1 intersects the cylinder x2 + z2 =…

A: It is given that, the cylinder y2 + z2 =1............... (1) intersects the cylinder x2 + z2 = 1…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y=(x3/3+1/(4x))…

A: The given curve is: y=x33+14x ;            12≤x≤1

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y =  x3 4 +  1…

A: Sarface area problem....

Q: Find the area of the surface obtained by rotating the curve about the y-axis. = (y² - Iny), 1 ≤ y ≤…

A: surface area  about  y axis  bounded by  x=g(y)Area=∫ab 2π g(y)1+g'(y)2  dy

Q: The figure shows the surface created when the cylinder y2+z2 = I intersectsthe cylinder x2+z2=1 Find…

A: Given : surface S (say) is created when the cylinder y2+z2=1 intersects the cylinder x2+z2=1 To find…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x3 1 + 2x sxs1 2…

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Q: 4. Find the area of the surface obtained by rotating the curve y? = x + 1, 0<x < 3. about the x-axis…

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Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about…

A: Let's find.

Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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Q: Find the area of the surface generated by revolving the curve x = .0sys1, about the y-axis. The area…

A: Given curve is x=y38, 0≤y≤1 We have to find the area of the surface generated by revolving the curve…

Q: (a) Find the area of the surface generated by the given curve about x-axis y = V, (b) Find the area…

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Q: 6. Find the exact area of the surface obtained by rotating the curve, y = x³, 0 < x < 2, about the…

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Q: Find the area of the surface obtained by rotating the curve from x = 0 to x = 1 about the x-axis.…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y =    6 − x,…

A: We will solve the problem.

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = √3x +7…

A: Ans = 40.5709π square units  For detail...go through the solution...

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y =  x3 4

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Q: Find the area of the surface obtained by rotating the curve y = V6x from x = 0 to x = 2 about the…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + 5x,…

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Q: EX- Find the area of the surface generated by rotating the 1 portion of the curve y= (x²+2)³ between…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 3x…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis.   y =…

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Q: Find the area of the surface obtained by rotating the curve y2 = 4x + 4 0<x<8 about the x-axis? %3D

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Q: Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 about the x-axis.…

A: The curve isy=4x3 So, its derivative will be: dydx=12x2 As,  Sx=∫2πy dswhere ds=1+dydx2dx so,…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =…

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