The given curve is rotated about the y-axis. Find the area of the resulting surface. x3/2, 0sxs 21 y

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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…

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: Find the area of the surface generated when the given curve is revolved about the given axis y=6x,…

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Q: Use x = au, y = bv to show that the area of the ellipse x2 y? = 1 is rab. 62 a2

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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: 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: draw and identify the graph of the following surfaces a. x² + y² = sin²z, z = [0, π]

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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: 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: Let's find.

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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: Find the area of the surface generated when the given curve is revolved about the given axis.…

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

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A: Given, R=12 ∮∂Rxdy-ydx From the given figure on ∂R we have, rt=acosti^+bsintj^ that is on ∂R,…

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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: 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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Q: c) Find the curve length of the lemniscate of the area Inside the lemniscate r² = 6 cos 20 and…

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Q: Question 7 Find the area enclosed by the curves y=2r², y=2\/x,x=- and x = 1 A 45/51 B 59/76 49/96…

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Q: Draw the curve r2 = 2a? $20, a > 0 and calculate the area enclosed by this curve COS

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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: The diagram shows part of the curve y? = x+1 which intersects the axes at A and B. The area of the…

A: given,

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: Two polar curves C, and C2 are given in the interval 0 < 0 <- respectively by: V2cos20 and r = Find…

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Q: Given , x=4cos3θ and y=4sin3θ, 0<θ< π/2 (that is 0 is less than or equal to θ (theta) which is…

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

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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: Calculate the area enclosed by the ellipse to 3 decimal places. A 2.221 +.002 B 1.437 +.002 © 1.111…

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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.…

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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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