a. Set up an integral for the area of the surface generated byrevolving the given curve about the indicated axis.b. Graph the curve to see what it looks like. If you can, graphthe surface too.c. Use your utility’s integral evaluator to find the surface’s areanumerically. x = sin y, 0 ≤ y ≤ π; y-axis

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: 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: 4: Show yor work. a) 1: Find the exact area of the surface obtained by rotating the curve y? +x =5,…

A: Since you have posted multiple questions i can do first question as per our company guidelines…

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: Find the area of the surface generated by e + e -y revolving the curve x = 2 0sys In 6 about the…

A: To find the surface area generated by revolving the curve x=ey+e-y2,0≤y≤ln6 about the x-axis. We…

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: x = 3t – t, y = 3t2, 0<t< 1

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Q: Find the area of the surface obtained by rotating the curve y : sin x from x = 0 to x = 1.4 about…

A: Given region bounded by y= sinx  from x=0 to x=1.4

Q: Let C be the curve y = 9x° for 0 < x < 1.2. 14 12 10 8 6 4 2 0.5 1 Find the surface area of…

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Q: 1(b) Find the surface area generated by revolving the portion of the curve y x2 + 1 between x=0 and…

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Q: 1 Find the area of the surface obtained by rotating the curve y = In(1 – x²), 0 < x <. about the

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Q: Find the surface area of the curve: y In x; 1sx S 2 when the curve is rotated about the y-axis.

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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: 1. Find by integration the area of the surface of revolution generated by revolving the loop about…

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

A: We have to check which curves would generate equal surface area revolved around x and y axis.

Q: Find the area of the surface generated by revolving the curve x = a cos θ,       y = b sin θ, 0 ≤ θ…

A: The curves x=acosθ,y=asinθ, and 0≤θ≤2π, we have to find the area of the surface generated by…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. y = V, 0,5 s…

A: First I have written the formula of are of surface of revolution about y axis on an interval, just…

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 arca of y = (1/3)r 10<x <1 revolved about the z-ax

A: Given: The equation is y = 13x3 , 0 ≤x≤1 revolved about the x - axis.

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

A: Given information,x=fty=gt; a≤t≤b To get the area of the surface generated by the curve about…

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

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Q: Find the area of the surface generated by revolving the given curve about the indicated axis. 1. x =…

A: Consider two parametric equations and with . Then the area of the surface obtained by rotating…

Q: Find the area of the surface generated by revolving about the y-axis the arc C given by C = { (x,y)…

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Q: 1. Find the surface area of the solid obtained by revolving the curve y = √25-x from = 9 to x = 16…

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Q: 2. Use the appropriate integral theorem (and state which one you are using) to evaluate Lr*y dr –…

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Q: Express the surface area of the surface obtained by rotating the graph of y = 4 sin (x) for Sx as an…

A: To express: The surface area obtained by rotating the graph of y=4sinx for π6≤x≤π3. Concept used:…

Q: Find the area of the surface obtained by rotating the given curve about the x-a T x = 5 cos (0), y =…

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Q: 2. Find the area of the surface generated by revolving the curve r = Vcos 20, 0s0 ST/4. about the y…

A: Surface area generated by revolving the curve 'r' about y-axis = 2π∫αβxr2+(drdθ)2 dθ

Q: Evaluate the exact area of the surface obtained by rotating the circle x2 + y² = r² about the line y…

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Q: 4: Show yor work. a) | 1: Find the exact area of the surface obtained by rotating the curve y? +x…

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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: 1. Find the area of the surface generated by revolving the given curve about the x-a (a) y = 7x,…

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Q: 3) Find the area of the surface that results from rotating the curve Y = sin MX, 0 s X < 1 about the…

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Q: 8) Find the area of the surface generated by rotating about the x-axis the arc of the curve y x…

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Q: ind the area of the surface generated when the give curve is revolve about the x-axis    y=(x^3)…

A: Consider the given curve: Here the objective is to determine the area of the surface generated when…

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

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

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

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Q: Let C be the curve y = 4√√x for 2.1 ≤ x ≤ 4.8. 8 7 5 4 3 2 1 2 3 4 Find the surface area of…

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Q: Find the area of the surface generated by revolving the curve x = Vy, over the interval 8 sys 27…

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

A: The area of the surface obtained by rotating the curve about x-axis is given by the formula…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = cos -х 0< x…

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Q: Compute the surface area of the cone generated by revolving the curve c(1) = (1, mt) about the…

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Q: Determine which of the following gives the area of the surface obtained by revolving the curve y =…

A: This question is related to surface area. We will solve this question by using formula of surface…

Q: Set up, but do not evaluate, an integral that's equal to the surface area of the surface formed by…

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Q: ind the exact area of the surface obtained by rotating the curve about the x y = y1+ ex, OsxS8

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Q: 3) Find the area of the surface that results from rotating the curve Y = sin X, 0<X< 1 about the X…

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Q: 73. х %3D а сos'0, у%3Dasin'0, 0<0< п/2 0 < 0 < T/2

A: Given information: x=acos3θy=asin3θ0≤θ≤π2

Q: 1. (a) Find the exact area of the surface obtained by rotating the curve y = e* about the x-axis…

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