Find the exact area of the surface generated when the curve f (x) = V5 – x on the interval 3 < x < 5 is rotated about the x-axis. Use a complete sentence, including units and write the solution in exact form. Do not use a decimal approximation. Show all of your work.

Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. 1 y…

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Q: The area of the surface obtained by rotating the curve y = 21 x + 1, 0sx< 42 about the x-axis is

A: Given:- y = 21x+1 To find:- Are of rotation about x axis [0, 42]

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

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Q: Q.8 Find the area of the surface generated by revolving the curve x = 9-y. (-25ys2) about the…

A: The solution are next step

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A: The  given curve is y=-2x2+4 and -1≤x≤1

Q: Find the exact value of the surface area generated by revolving the given curve, about the x-axis. 1…

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Q: The area of the surface obtained by rotating the curve x = 1sys7 about the x-axis is

A: Definition used -              Area of the surface obtained by rotating the curve x=g(y) about…

Q: express the length of the curve as an integral but do not evaluate it. r = eθ + 1, 0 ≤ θ ≤ π/2.

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

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

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Q: y = V4-x, -l&xs1 about the x-axis

A: We'll answer the first question since the exact one was specified. Please submit a new question…

Q: Do the following for the curve y = 4x2 + 3, 0 sxs2. a. Set up an integral for the length of the…

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Q: Find the Exact Area of the surface obtained Retating by the curve asout the X-axis 9x=18+g2 25Y56

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Q: 3. Find the area of the surface generated from revolving the curve y =x ++4 from x = 1 to x = 2…

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

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Q: Find the slope of the tangent in the positive y-direction to the surface  z = 3x + 2y − 4exy at (4,…

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Q: Find the area of the surface obtained by rotating the curve y = 5x° from x = 0 to x = 9 about the…

A: Let's find.

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y =7,…

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Q: Find the surface area for the object obtained by rotating y=7x+2 about the x-axis over the interval…

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Q: Find the area of the surface obtained by rotating the curve V5=x' 3 Sx 55 about the x-axis a

A: Here function is, y = (5-x)^(1/2) Since function is positive for the given interval and has a…

Q: Q2 Find the area of surface generated by revolving the curve y=√x+1,1< x≤ 5 about x-axis

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

Q: Q2) Find the area of the surface generated by revolving the curve y=√4-x² about y-axis.

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Q: 3) Write the integral that equals the area of the surface formed by rotating the curve x = 1 + 1s y…

A: Write the integral that equals the surface area of the given curve rotating about x-axis

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

A: We know that,

Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. x2…

A: Given curve is y=x242≤x≤4   Axis of rotation is y axis

Q: 2. Set up the formulation to find the surface generated when the curve y=x is revolved about the…

A: Let f(x) be a nonnegative smooth function over the integral [a,b]. Then the surface area of the…

Q: The area of the surface obtained by rotating the curve y = v64-x2, -2 <x < 2 about the x-axis is

A:

Q: Find the points on the surface y2 = 4 + xz that are closest to the origin. (Enter your answers from…

A: Consider the given surface equation y2=4+xz.  The distance d between the origin 0,0,0 and any point…

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

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Q: Find the area of the surface generated when the curve f(x) = (2/3)x^(3/2) - (1/2)x^(1/2) ; [1,9] is…

A: Given:

Q: The area of the surface obtained by rotating the curve y = 17 x +1, 0SXS 34 about the x-axis is

A: The solution are next step...

Q: Find the area of the surface generated when the given curve is revolved about the given axis. 1 y3…

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Q: Find the area of the surface obtained by rotating the curve y = 2x 223 from x = 0 to x 2 about the…

A: HERE THE LIMITS OF INTEGRATION IS 0 to 2.

Q: y = N|XW --- - 6x 1 <x<1

A:

Q: Find the area of the surface gener- ated when the given curve is revolved about the given axis. y =…

A: Given: y=4x+6,  0,5

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: Find the area of the surface obtained by rotating the curve y=1+3x² from 0 to x = 9 about the…

A: Let's find area of surface obtained by given curve.

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

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Q: Find the area of the surface generated by revolving the curve y = sqrt 2x-x^2, 0.25 less than or…

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

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Q: Find the area of the surface formed by revolving the graph of f(x) = 1 – and 0<x<2 about the y-axis.…

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Q: Find the exact area of the surface generated by revolving the curve about the incated axis over the…

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Q: Find the area of the surface obtained by rotating the curve y =÷x/2 – x³/2 for 0 < x < around the…

A: We find dy/dx using power rule

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 12…

A: Consider the curve y=12-3x, 1⩽x⩽3. Surface area of solid when curve is rotated around x-axis is…

Q: Find the exact area of the surface generated by revolving the curve y = sinx, over the interval (0 <…

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Q: Q2 Find the area of surface generated by revolving the curve y=vx+1 ,1< x<5 about x-axis

A: To find the area of the surface

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y = 11…

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Q: Find the area of the surface of revolution generated by revolving about the x-axis the arc of the…

A: y2=12x ⇒y=23x ⇒dydx=3x ⇒dydx2=3x2 ⇒dydx2=3x ⇒1+dydx2=1+3x ⇒1+dydx2=1+3x

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

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Q: Y=Ğ jfor exS3; about The X-axi's

A: The formula for the surface area generated by rotating the curve  A=2π∫abf(x)a+(f'(x))2dxHere…