Find the surface area of the surface of revolution formed by revolving the curve y= 3cosX from X=0 to X= about the X-axis. 2

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

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Q: The area of the surface obtained by rotating the curve y = 21 x + 1, 0sx< 42 about the x-axis is

A: Given:- y = 21x+1 To find:- Are of rotation about x axis [0, 42]

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

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. x = 5 + 3y, 1 <…

A: We have to find the surface area of the solid.

Q: 2. Find the surface area of the surface generated by revolving the curve abou the indicated axis. x³…

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Q: Determine the surface area generated by revolving the curve y=1/3 x³ over the interval (0,2), about…

A: The given curve is y=13x3  on 0, 2. This implies that, dydx=x21+dydx2=1+x41+dydx2=1+x4y1+dydx2=13x3…

Q: Find the area of the surface obtained by rotating the curve y=1+4x2 from x=0 to x=6 about the y-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 obtained by rotating the curve y = cos(2x), 0≤ x ≤ π/6, 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 + ex, 0<…

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Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y =(5-x)^1/2…

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Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the…

A: Let's find.

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 area of the surface generated by revolving the given curve about the y- axis. x = /25 - y²,…

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Q: .Find the area of the surface generated from revolving the curve y = x3 ++4 from x = 1 to x = 2…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis.  x=1+5y2,…

A: Recall: Area of the surface rotating about the x-axis: If the curve x=g(y) is given , c≤y≤d , and…

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 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 exact area of the surface obtained by rotatingthe curve about the x-axis. y =√(1+ ex)  ,…

A: Given: y=1+ex , 0≤x≤1 The area of the curve is obtained by rotating the curve f(x) about x-axis…

Q: Find the surface area of revolution of x=y2 about the y-axis at [0,2]. Graph.

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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 exact area of the surface obtained by rotating the curve about the x-axis. y = x, 0s x< 3

A: The objective is to find the surface area.

Q: 3. Find the area of the surface generated from revolving the curve y =x++ 4 from x 1 to x 2 about…

A: Given, Curve ,y=x33+14x+4 To find : Area of surface generated after revolving the given curve from…

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: 8.) Find the area of the surface by revolving the curve about each given axis. 1 x =t3, y = t + 1,…

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Q: Find the area of the surface generated by revolving the given curve about the y- axis. x=2₁√√6-y,…

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Q: Find the surface area generated by revolving about the x-axis the curve y=2(15-x)^1/2, from x=0.59…

A: Area =integration of 2πg(x) √1+(g'(x)) 2 dx

Q: The area of the surface obtained by rotating the curve y = 17 x +1, 0SXS 34 about the x-axis is

A: The solution are next step...

Q: Find the area of the surface generated by revolving the curve y=x3/3 from x=0 to x=1 about the…

A: To find the area of surface generated by y=x33 and x=0,x=1 about x-axis A=∫012π·y·dS, dS=1+y'2·dx,…

Q: Find the area of the surface obtained by rotating the curve y = 2x 223 from x = 0 to x 2 about the…

A: HERE THE LIMITS OF INTEGRATION IS 0 to 2.

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: b) Find the surface area of the region under the curve 2/3 2/3 =1 by revolving about x-axis. a

A: b We have to find the surface area of the the region under the curve xa23+ya23=1by revolving about…

Q: Find the area of the surface generated by revolving the given curve about the yy-axis.…

A: Given curve is, x=25-y, -1≤y≤0 Now, differentiating with respect to y we get,…

Q: Find the exact area of the surface obtained by rotating the curve about the  x-axis.   x = 1+ 2y2 ,1…

A: Find the exact area of the surface obtained by rotating the curve about the  x-axis.   x = 1+ 2y2 ,1…

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 y=1+3x² from x = 0 to x = 9 about the…

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Q: Find the exact area of the surface obtained by rotating the curve x = 1/3y3, 0 &lt;= y &lt;= 1,…

A: For rotation about y-axis, the surface area of the curve is given by

Q: Find the area of the surface generated by revolving the curve y = 3sqrt(x)  between x = 0 and x = 4…

A: Given curve, y=3x x = 0 and x = 4

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 exact area of the surface generated by revolving the curve about the incated axis over the…

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Q: Find the area of the surface generated by revolving the curve y = (1/3) x3 + 1⁄4 x-1 from x = 1 to…

A: Function is the unique relation where each x is mapped to unique y. It can be of many type,…

Q: Find the exact area of the surface generated by revolving the curve y = sinx, over the interval (0 <…

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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 formed by revolving the curve y=x3 from x=1 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 = V1 + e*, 0 <…

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Q: Find the surface area of the solid of revolution obtained by rotating the the curve about the…

A: start with:

Q: Calculate the area of the surface of revolution obtained by revolving the curve x = 1/3 (y2 + 2)3/2…

A: To find the area of the surface of revolution

Q: Find the surface area generated by revolving about the x-axis the curve y = 2(15-x)^1/2, from x =…

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