3. Find the surface area generated by rotating y=- bounded by y=0_ x=0 , and x=9 about the the x-axis.

Q: Find the surface area of revolution about the y-axis of y = 3 – 3x over the interval 0 < x <1

A: Given

Q: Compute volume under the surface x+ 2y2 above the region described by 0sxs1 and 0sysx?, shown below.…

A: Given that surface is x+2y2 and region is described by 0≤x≤1 and 0≤y≤x2. It is required to find the…

Q: 10 Find the area of the surface generated by revolving the region bounded by. ISKSS about the…

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Q: The line y = 2x and the parabola y = 16x intersect at x= 4. Find by a double integral, the area…

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Q: What is the volume of the solid that results when the region enclosed by the curves y = cosx and y =…

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Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 80,0 < 0 <…

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Q: Find the surface area of revolution about the x-axis of y=3sin(5x)y=3sin(5x) over the interval…

A: I am attaching image so that you understand each and every step.

Q: Find the volumMe generated by revolving the area bounded by the giveN Curve and avd lines y = x', x…

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Q: Consider the region formed by the graphs of f (x)=sqrt (x) , f (x)= 1/x and x=2. Which integral…

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Q: compute the surface area of revolution about the x-axis over the interval. y= x3, [0, 2]

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Q: Determine the surface area generated by revolving the curve y=1/3 x³ over the interval (0,2), about…

A: The given curve is y=13x3  on 0, 2. This implies that, dydx=x21+dydx2=1+x41+dydx2=1+x4y1+dydx2=13x3…

Q: Find the surface area of volume generated when the curve y=.5(x^2+1) from x=0 to x=1 revolves around…

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Q: calculate the area between y=x^3 and its tangent at the point (1,1)

A: The slope of the tangent is given by y' at (x,y)=(1,1) y'=3x2At x=1y'=3 Equation of tangent line is…

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³.

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Q: Compute the surface area of revolution of y=sinxy=sin⁡x about the x-axis over the interval [0,7π]

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Q: Determine the surface area generated by revolving the curve y=-x'over the interval 3 [0, 2], about…

A: The surface area of revolution of y=fx over a,b revolved about x-axis is A=2π∫abfxdfdx2+1dx Now, we…

Q: Compute the surface area of revolution about the x-axis over the interval [3,6] for y = 4x + 4. (Use…

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Q: Compute the volume generated by the curve = 4 y = z about x-axis between x = 2 and x x2

A: Given curve is  revolved around x-axis ,so now we will find volume generated by intigration between…

Q: Find an integral for the area of the surface obtained by rotating y = √25-x, 9 ≤x≤ 16, about the…

A: To find an integral for the area of the surface obtained by rotating the below equation about the…

Q: Find the surface area of revolution about the x-axis of y = 3 sin(6x) over the interval 0 <x < -

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Q: Determine the surface area generated by revolving the arc 3y= 4x from x=0 to x=3 about the x-axis.

A: To find- Determine the surface area generated by revolving the arc 3y = 4x from x=0 to x=3 about the…

Q: Compute surface area about the x-axis over the interval y= 4-x23 2,[0,8] 2/3 3/2

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Q: 7) Set up and evaluate the definite integral for the area of the surface generated by revolving y…

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Q: Compute the area contained between the parabolas y and y 3 = 4 --x2

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Q: Set up the integral for the surface area of the solid created by revolving y= Vx 1< x <8 about the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Determine the area of the surface generated by revolving y=x³ on (0,1), about the x-axis.

A: The given curve is y=x3  on 0, 1 about x-axis. This implies that,…

Q: Find the surface area of revolution about the x-axis of y = 7 sin(3x) over the interval 0 < x <

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Q: Compute the surface area of revolution about the x-axis over the interval [3, 5] for y = 2x + 4.

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Q: Find the surface area of revolution about the x-axis of y=3sin(7x) over the interval 0≤x≤π

A: To find the surface area of revolution about the x-axis of y=3sin(7x) over the interval 0≤x≤π.

Q: Find the area of the surface obtained by rotating the curve y = V1+ e, 0sx<1 about the X-axis. 2).…

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Q: 2. Find the surface area when y = 2\x with 1 < x < 3 is rotated around the x axis.

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Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³. (Use…

A: In this question we have to find the surface area of the revolution about the x-axis.

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 10, 0 < 0…

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Q: I Sketch the area bounded by x² + 2y = 4 and x+y+2=0 and determine: d) area using horizontal strip…

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Q: b) Find the surface area of the region under the curve 2/3 2/3 =1 by revolving about x-axis. a

A: b We have to find the surface area of the the region under the curve xa23+ya23=1by revolving about…

Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,π].

A: Given data: The expression for the given function is y=sinx. The given interval of x is [a,b]=[0,…

Q: Find the surface area of revolution about the x-axis of y = 2 sin(2x) over the interval 0 ≤ x ≤ KIN

A: When a cut= when a curve y=f(x)  a≤x≤b  rotate about x axis then surface area of rotation Ax=∫ab2πy…

Q: How far is the centroid of the area boundded by the curves y=e^x, y=e^-x, and x=1 measured from the…

A: We have to find the distance of centre of mass from y Axis  So , find only x coordinate of centre of…

Q: the x-axis of y=2sin(4x) over the interval 0≤x≤π4

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Q: image attached

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Q: Set up and evaluate the definite integral for the area of surface generated by revolving the curve…

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Q: Set up and evaluate the definite integral for the area of surface generated by revolving the curve…

A: given curve y=2x over the interval [4,9]

Q: 2. Find the volume OF solid obtained by revoluing region bounded the about x- axis x2 and the the by…

A: Given that, the curve is y=x2 and the lines are x=0 and x=2. Note that, the formula for the volume…

Q: Find the center of the mass of a thin plate of constant density ô covering the region 3 bounded by…

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Q: Compute the surface area of revolution about the x-axis over the interval [0,1) for y = 4x'. (Use…

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Q: 9. Find the area of the surface obtained by rotating the curve y = x',0sxs2 about the x-axis.

A: Given : y = x³, 0≤x≤2 about the x-axis

Q: compute the surface area of revolution about the x-axis over the interval. y = (4 − x2/3)3/2, [0, 8]

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Q: compute the surface area of revolution about the x-axis over the interval. y = x, [0, 4]

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Q: Find the volume and the surface area that generated due to rotate the bounded area between the curve…

A: I use washer method to find volume about x axis

Q: 4. Find the volume generated(disk) if the area bounded by the 3 curves y = 1 – y = 0, x = 1 and…

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