Find the area of the surface generated when the given curve is revolved about the given axis. y= 6x, for 7sxs 40; about the x-axis The surface area is square units. (Type an exact answer, using n as needed.)

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 5x…

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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: Without using a calculator, for the following, find the area of the surface obtained by rotating the…

A: We need to find surface area.

Q: Find the area of the surface generated when the given curve is revolved about the x-axis. 1 1 for 3x…

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Q: Sketch the section of the surface at x = 0. y? – 42? = 4

A: Given

Q: Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the…

A: We can find the answer as below.

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 area of the segment of a sphere formed by revolving the graph of       y = √(r2 − x2) , 0 ≤…

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Q: Use a calculator to approximate the area of the surface generated when the given curve is revolved…

A: Solve the given

Q: The area of the surface generated by revolving the curve y = V9 - x,-2 s xS 2 about the x-axis is…

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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: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x² −…

A: When a curve  described by the function x=g(y), a≤y≤b  rotated about the y−axis, Then the area of…

Q: Find the area of the surface generated by revolving the given curve about the X - AXIS. Y 8x, 0 < a…

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Q: Find the area of the surface obtained by revolving the curve given by y = V/9- x2, where –2 < x < 2,…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis. y-(3x)13,…

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Q: 3) Find the area of the surface obtained by rotating the given curve about the indicated line, y=x2,…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 9(x² -…

A: The given curve is y2=9x2-a2 in the first quadrant. We need to find the surface area when the given…

Q: Find the surface area generated by rotating the semi-circle x = 49 – y² be- tween -7 <y < 7 about…

A: Calculate surface area: S=∫-772πx1+dxdy2dy   =∫-772π49-y21+ddy49-y22dy   =∫-772π49-y21+-y49-y22dy…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 for…

A: The given equation of the curve is y=x48+14x2, 1≤x≤2 The area of this curve by rotating the about…

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: 4x with 0 < x< 3 about the x-axis. 3 Find the area of the surface generated by revolving the curve…

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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 area of the surface obtained by revolving the curve y=2/4=x, for 1<«<4, around the x-axis.…

A: Explanation of the solution is given below...

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: nd the area of the surface obtained by rotating the curve x = 3t2, y= 2t°, 0<t<5 about the y-axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y 10x…

A: Given:

Q: nd the area of the surface generated by revolving the curve x= Osys2, about the y-axis. 3

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Q: y = V8 - x, 2 <x S 8

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

A: Answer is optional B

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: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 9(x2 –…

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Q: Find the area of the surface generated by revolving the following curve alongthe x-axis: x = 2t3,y =…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 y3…

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Q: Find the area of the surface obtained by rotating the curve y 5æ? about the y axis for 3 < x < 8 -…

A: Given: y=5x2

Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 4(x² –…

A: Given: y2=4x2-a2 Portion of the curve in the 1st quadrant is revolved about x=0 (y-axis) from y=0 to…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 5x…

A: The objective is to find the area of the surface generated when the given  curve is revolved about…

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 exact area of the surface obtained by rotating the curve about the x-axis. y = V1+ e*,…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 3 y…

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Q: - Determine the surface area generated when a portion of the curve in the 1st quadrant of y² = 4(x²…

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Q: メ y= oL Xとn2

A: Given curve is y=ex , 0≤x≤ln2find the area of the surface

Q: Find the surface area of the object obtained by rotating x = Vy-6 2sys3 about the y-axis.

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Q: Find the area of the surface obtained by rotating the given curve about the x-axis. Round your…

A: Consider the provided question, We have to find the surface area obtained by rotating the given…

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

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Q: Find the area of the surface generated by revolving the curve x = 9y +1; 0 < Y< 12 about the y-axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 11…

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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. 5 ,…

A: We have surface area formula about x axis S =∫ab [2πy√(1+ (dy/dx)2)]dx  Given y = x3/5…

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?

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