Find the area of the surface obtained by rotating the given curve about the x-axis. Round your answer to the nearest whole number.  x= t^2, y= 2t, 0 less than or equal to t less than or equal to 5

Q: Find the area of the surface generated by revolving the given curve about the x- axis. y=6x, 0≤x≤ 3…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sin(pix/4),…

A: The area of the surface of the curve y=f(x),  a≤x≤b obtained by rotating the curve about the x-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 region bounded by the parabola y=5x^2, the tangent line to the parabola is at…

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Q: 5. Find the area of the surface obtained by rotating the curve about the x-axis: x' + 6. 1 <x<1 1 2x

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Q: Find the exact value of the surface area generated by revolving the given curve, about the x-axis. 1…

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Q: Find the area of the surface generated when the given curve is revolved about the y-axis 1 y=(8x)…

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Q: s. y-- In x 1<X < 4 5. у 2 4

A: Formula for calculating surface area(S): S=∫ab2πyds                              where, ds=1+dydx2…

Q: Find the area of the surface obtained by rotating the curve y=4x3 from x=0 to x=2 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 = 5− x, 3 ≤…

A: To find the exact area of the surface obtained by rotating the curve about the x-axis.  y = 5− x, 3…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =7,…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt 1+3x ,…

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Q: Find the surface area of revolution generated by revolving the curve y= (3x)5 over about the y…

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

A: We know that surface area obtained by rotating the curve y=f(x) about x axis between x=a &amp; x=b…

Q: Find the area of the surface generated by revolving the curves about the indicate x= t +2/3, y…

A: The given implicit equations area;  x=t+23, y=t22+23t,     -23≤t≤23

Q: Find the area of the surface generated when the given curve is revolved about the given axis.y=8x-4…

A: Here we find the area of surface generated when the given curve is revolved about the y-axis. The…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V1 + ex, 0 <…

A: Given: y=sqrt(1+ex), 0&lt;=x&lt;=5.

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

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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 by revolving the curve about the indicated axis. 36) y=V4x -…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the area of the surface generated by revolving the curve about the indicated axis.   y = x 2/4…

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Q: Determine the surface area of revolution when the curve y = 7.2/x from x = 1 to x = 5 is rotated by…

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Q: Find the area of the surface obtained by rotating the curve y=sqrt(4x) from x=0 to x=6 about the…

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Q: Find the area of the surface obtained by rotating the curve y = x about y-axis for 1< y< 3.

A: We have to find surface area

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = + 2 бх

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Q: Calculate the surface area if the curve y = 3sqrt(x) is rotated about the x-axis.

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Q: Find the surface area of revolution about the x-axis of  y= 4sin(4x), from x is greater than or…

A: Equation of curve is y= 4sin(4x) The interval is 0≤x≤π2

Q: Find the area of the surface obtained by rotating the curve y=√3x from x=0 to x=7 about the x-axis.

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Q: Find the area of the surface formed by revolving the graph off (x) = 2 + x on the interval 3 <y<4…

A: The solution are next step

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 resulting from rotating the curve given by y=(1/4) x2 - (1/2) ln⁡x,…

A: you can clearly understand if you follow the below solution

Q: Find the area of the surface generated by revolving the curve y= 2 sqrt(1-x), from x=-1 to x=0,…

A: The volume of the solid generated by a region under y=f(x) bounded by the x –axis and vertical lines…

Q: y = N|XW --- - 6x 1 <x<1

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Q: Find the surface area of the surface of revolution formed by revolving the curve y= 3cosX from X=0…

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Q: Find the area of the surface obtained by rotating the curve about the y-axis. y= x², 0sxs1 Set up…

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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 generated by revolving the curve Y = 8/x, 2 < x < 7 around the -axis.

A: The given surface is generated by y=8x,  2≤x≤7 around the x axis. The area of the surface generated…

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y38x,…

A: We know that area of surface generated when the curve y=f(x) is rotated about x-axis is

Q: Find the area of the surface obtained by rotating the curve about the x-axis. y= e*, 0sxs1 Set up…

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Q: Find the area of the surface obtained by rotating the curve. y=x+, 1<x< 2 rotated 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. x = 5 + 4y2,…

A: We use the formula S=2π integration of y √(1+x'2)dy from 1 to 2

Q: Find the area of the surface generated by revolving the curve y = sqrt 2x-x^2, 0.25 less than or…

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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: Find the area of the surface generated when the given curve is revolved about the given axis. 3 7 y…

A: We write x in terms of y first

Q: Find the area of the surface formed by revolving the graph of y = 2Vx on the interval [0, 14] about…

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Q: Find the area of the surface obtained by rotating the curve y = x² - In(x) about the y-axis for 3…

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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 obtained by rotating the curve y = about y-axis for 1 ≤ y ≤ 3. Area:

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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: 9. Find the area of the surface obtained by rotating the curve y = x',0sxs2 about the x-axis.

A: Given : y = x³, 0≤x≤2 about the x-axis