The given curve is rotated about the y-axis. Find the area of the resulting surface. y = 3 - x2, 0 sx3 4

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

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A: As per our guideline, we are supposed to solve only first question. Kindly repost other question as…

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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: Here is the solution

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

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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

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A: Given   Area of surface area revolved about x axis formula is

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Q: Consider curve C which is the intersection of the surfaces shown in the attached figure. image 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 given curve is revolved about the x-axis. y=x3 + for…

A: surface area of the curve is given by  S=2π∫abf(x) (f'(x))^2+1 dx

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A: Given:

Q: 3) çalculate Sſ e-(x<+Y²) dA on D which is the region in the first quadrant bounded by the circle X²…

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

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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: Question 14 Find the area of the surface that is generated by revolving the portion of the curve y=…

A: Given: y=x2⇒x= ±y Since , we are dealing with x=1 to x=2, we will take the positive value Thus, x=y…

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: Q. The curve y = v4 – x², -1 <x<1, is an arc of the circle x? + y? = 4. Find the area of the surface…

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Q: The given curve is rotated about the y-axis. Find the area of the resulting surface. = Vx, 1sys 5

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Q: -y° dr + x* dy where C is the union of the circles of radii 1 and 2 (centered at the origin).

A: Let I=∮C−y3dx+x3dy According to green theorem ∮CLdx+Mdy=∬D∂M∂x−∂L∂ydxdy Where, D is the region…

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 y-axis: a. y =…

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Q: Question 7 Find the area enclosed by the curves y=2x², y=2√x,x= — and x = 1 A 45/51 B) 59/76 49/96…

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Q: The figure below is a plot of the equation of the line y = A/x where A = 7.2.  Determine the surface…

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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: 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.…

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