The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 2, 0 < x < 12

Q: Find the area of the surface generated by revolving the curve about each given anis. *- 7t. y= st,…

A: We have to find  the surface area generation by revolving the curve about x and y axis

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Q: In  the given equation as  follows , find the area of the surface generated by revolving the curve…

A: Given: x=t ; y=4-2t; 0≤t≤2To find the area of the surface generated by revolving the curve about…

Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. DRAW A…

A: Introduction: When an arc is revolved around the coordinate axis, a solid is formed. This solid has…

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y =x2 4 In(x),…

A: Given curve is y=14x2-12ln(x) Differentiate with respect to x. dydx=x2-12x

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A: Given curve is x=a2+y2  where -a≤y≤a Differentiate the given curve with respect to y, dxdy=ya2+y2…

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = Vx, 1sy& 4

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Q: Find the surface area generated by rotating the parabola arc y = x² about the x-axis from x = 0 to x…

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Q: Find the area of the surface generated when the indicated arc is revolved about the y-axis. Draw a…

A: For the solution of the problem follow the next steps.

Q: Find the point on the surface z = xy + 1 nearest the origin.

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = Vx, 3sy54

A: Given:y=x3  ,     3≤y≤4Surface area :S=∫ba2πx 1+dxdy2   dy

Q: Find the exact area of the surface obtained by rotating the given curve about the y-axis.

A: Given that      x(t)=3t-t3y(t)=3t2 Since, we are rotating about y-axis, the formula is:…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = V6 - x,…

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Q: x² : 4ay from x 0 to x = 2a

A: We have to compute the surface area of revolution of the curve x2=4ay about the y-axis between the…

Q: Find the area of the surface generated when the indicated arc is revolved about y-axis x^2 = 4ay…

A: Surface area about  y-axis is given below..

Q: (a) Find the area of the surface generated by the given curve about x-axis y = Vx , 1< x < 4

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Q: 5.Find the area of the surface generated by revolving the given curve about the y-axis. x = /9- y, -…

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Q: 2. (a) Find the exact surface area that is generated by revolving the portion of the curve y = x²…

A: Given A surface area that is generated by revolving the portion of the curve y = x2 between x = 2…

Q: The arc of the parabola y = x^2 from (1, 1) to (2, 4) is rotated about the y- axis. Find the area of…

A: Given: The arc of the parabola y = x^2 from (1, 1) to (2, 4) is rotated about the y- axis.

Q: Find the area enclosed by the given parametric curve. (Use a calculator to look at the graph.) y =…

A: given

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = x2 - 1 -…

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Q: Find the points on the surface y? = 81+ xz that are closest to the origin.

A: Distance formula is                   d2=x2+y2+z2                  d2=f=x2+81+xz+z2 Since,…

Q: Find the area of the surface generated when the indicated arc is revolved about y-axis. X^2 = 4ay…

A: If the continuous curve is described by the function y = f(x), a ≤ x ≤ b, then the integral becomes…

Q: The curve y V4 – x², – 1 < x < 1, is an arc of the circle x² + y? = 4Find the area of the = 1…

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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 generated when the given curve is revolved about the x-axis. y = V3x +…

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

A: Area of surface generated by a curve y=f(x) when revolved around y -axis  S=∫ 2πx dsWhere…

Q: 4. Find the area of the surface generated when the given curve is revolved about the y-axis. y=(2x)"…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the area of the surface generated when the curve y = x2 from x = 0 to x = 3 is revolved about…

A: Let's find.

Q: Find the area of the surface generated when the given curve is revolved about the given a xis,…

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Q: The graph of y =√x from (1, 1) to (4, 2) is revolved around the x-axis. Find the area of the…

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Q: V9, 0< y< 4 Find the area of the surface generated by revolving the curve x = about the у-ахis.

A: We have to find the surface area.

Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 0SxS 12

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

A: To find the surface area generated when y=√(5x+3) is revolved around the x-axis on [0,5]

Q: (a) Find the area of the surface generated by the given curve about x-axis y = V, (b) Find the area…

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Q: Question 8 Calculate the area of the surface generated when the curve, y = Vx is revolved on the…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. 1 In(x), 4< x <…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = ? - Incx),…

A: Given that: y=14x2-12ln(x),     2≤x≤5

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: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = =x² - 1 1,2…

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Q: Find the area of the surface generated when the indicated arc is revolved about the x-axis.…

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Q: Find the area of the surface generated when the given curve is revolved about the given axis 1 = (e…

A: Given y=112e6x+e-6x  ,for -2≤x≤2  Area of surface of curve when revolved about x-axis…

Q: Find the area of the surface generated by revolving the given curve about the y-axis. 8ry? = 2y® +…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. y = Vx, 2 < y<…

A: Given: The given curve is, y=x3=x1/3,  2≤x≤4   To determine: The area of the resulting surface.…

Q: 4. Find the area of the surface generated by revolving the given curve about the -axis. y = 7x,0 <…

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Q: 3. y = Vx,0< x<1 ; у-ахis

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Q: Find the area of the surface generated by revolving the given curve about the y-axis. x = 8y + 3, 0…

A: Note: If x=fy≥0 and continuously differentiable on a,bThe area of the surface generated by revolving…

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

A: Given that y=x and 0&lt;=x&lt;=3 find the surface area generated by the revolving the given curve…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. < =v² + 2)3/2, 3…

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Q: Determine the surface area generated when a portion of the curve in the 1st quadrant of y? = 2(x2 –…

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