HW: Find the area of the surface generaled by revolving 1. LIIC 2. y = Vx- xã , 1 sxs3 about x2, 1

Q: HW: Find the area of the surface generaled by revolving 1. Vy , 1 <y58 about the x- axis. 3 2. y =…

A: Hello, thanks for your question but according to our policy I am answering the first three subparts.…

Q: The area of the surface obtained by revolving the curve y = x3 for 1<x<8 about the y-axis, is given…

A: Surface area obtaining by x=f(y) from x=a to x=b is about y-axis given in step 2.

Q: Q5. Consíder y = e+3 on [o,s]. Set up the surface area obtained by rotating The corve about y= 1 Ca)…

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Q: HW: Find the area of the surface generaled by revolving 3. x = y3, 0 sy s1 about y-axis.

A: Given  x=y3

Q: Under what conditions can you find the area of the surface generated by revolving a curve x = ƒ(t),…

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Q: 3. Find the area of the surface generated by revolving about the y-axis the part of the curve y = x?…

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Q: S Js V is the volume enclosed x (axr)ds = 2aV, where a by the closed surface S.

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Q: 11. Find the area of the surface obtained by rotating the curve y = a, 0 < a < 3/4, about the a…

A: Surface area of revolution

Q: nhuille Find the area of the rotaional L'C surface formed by rotating the part of the Curve given by…

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Q: Use Green's Theorem to evaluate Se (y? – tan-1 (r)) dr + (3r + sin (y)) dy, where C is the boundary…

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

Q: HW: Find the area of the surface generaled by revolving 1. Vy, 1 <y <8 about the x- axis. =DX

A: Find the attachment

Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y2 =…

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Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x? + y2 =…

A: Consider the formula for the Surface and the function f(x,y).Calculate fx and fy by partially…

Q: Find the area of the surface generated by revolving the curve a. y = V1+ e* between x = 0 and x = 1…

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Q: Find the area of the surface generated by revolving x =t+ 2/5, y= +2/5t, -2/5 sts2/5 about the…

A: Here we will find out area of surface of revolution.

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = x3/9, 0…

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Q: Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 x} | about the x-axis.

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Q: The area A(E) of the surface E that is the part of the surface z = xy that lies within the cylinder…

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Q: Determine The Surface area of The parl ofZ=xy 2. That lies in The Cylindes given by x+y=!

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Q: y? - In(Vy), 1sys 5 about the x-axis is The area of the surface obtained by rotating the curve x =

A: Solve the following

Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x2 + y² =…

A: Let z=f(x,y) is differential over the region R. Then surface area is A=∫∫R1+fx2(x,y)+fy2(x,y)dydx

Q: Q2 (a) Find the volume under the surface z = 3x³ + 3x?y and over the rectangle R = {(x, y):1 < x <…

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Q: Q4(a) Find the area of the surface generated by revolving the curve, x = /6y – y2 ; 2<y<5

A: Given the curvex=6y-y2    , 2≤y≤5we need to find the area by revolving the curve about y axis from…

Q: 1. Find the area of surface that is generated by revolving the portion of the curve y = V4- r2…

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Q: Find the surface area if C = {(x, y): 1 ≤ x ≤ 2,y = about the x-axis.

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Q: HW: Find the area of the surface generaled by revolving 3DVy, 1 <y<8 about the X- axis. 1. 3.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: a) Find the surface area of the object obtained by rotating x = e2y , –1 <y <1 about the y – axis.

A: We have to find the surface area of the solid obtained by rotating the curve x=e2y about the y-…

Q: Find the equation to solve the surface area obtained by revolving the parabola x? = 4y from x = 0 to…

A: Given that, Parabola, x2=4y   We have to find, The equation to solve the Surface area obtained by…

Q: find the exact area of the surface obtained by rotating x=t^3,y=t^2, 0&lt;t&lt;1 about the x-axis.

A: y=t^2 so t= sqrt(y)x=t^3= (sqrt(y))^3 = y^(3/2)x=y^(3/2) (graphed this equation)

Q: Find the surface area of the planez= x +y?from z=4 to z=9?

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Q: Find the area of the surface. The part of the surface z = xy that lies within the cylinder x² + y2 =…

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Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x = 0 and x…

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Q: Determine the resulting surface area when the curve y = x is rotated about the y-axis in the…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: Find the area of the surface generated by revolving the given curve about the y-axis from y = 0 to y…

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Q: Find the area of the surface generated when the given curve is revolved about the x-axis. y = 3x + 5…

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Q: Find the area of the surface generated by revolving x = e'cost, y = e'sint, 0 <t < about the x-axis,…

A: We’ll first need the derivatives of the parametric equations:

Q: The volume of the solid generated by the curve y = e, between r = 2 and a = 7 about %3D %3D the x…

A: Given : y = e-x

Q: Find the approximate area of the surface obtained by rotating x = - (y° + 2)/², 1 sys2 about the…

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Q: (b) Find the area of the surface obtained by rotating the region bounded by the curves 7 35xy 5y12+…

A: To find the area of the surface obtained by rotating the region bounded by the below curves about…

Q: Find the area of the surface obtained by rotating the curve y = Vx on the interval [0,1] around the…

A: The equation of the curve is y = x3 = x13 To evaluate: The area obtained by rotating the curve on…

Q: Which of the following curves would generate equal surface area when revolved around x and y axes?…

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Q: Find the area of the surface.The part of the surface  z = xy that lies within the cylinder x2 + y2 =…

A: Consider the formula for the surface area.Find Zx and Zy by partial differentiation .

Q: Q2 (a) Find the volume under the surface z = 3x³ + 3x?y and over the rectangle R = {(x, y): 1 < x <…

A: Volume of the surface and surface  area using double integral

Q: *Q. ( 12 ), p. 410 : Find the area of the surface generated by revolving eУ + е-У the curve x = 0…

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Q: 3. Find the area of the surface generated by revolving the curve about the given axis: x = g(y) =…

A: ds= sqrt(1+(dx/dy)^2)

Q: Find the volume of the solid of revolution when the curve y = 2r? - 2 is revolved around the x-axis…

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Q: By rotating the line y = r about the x-axis, for x in the interval [0, h], and applying the surface…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

A: Given; y=x^2 between x=1 to x=2