2) Find the area enclosed by the curve a =t² – 2t, y = vt and the y-axis.

Q: Find the surface area of revolution about the x-axis of y = 3x + 4 over the interval 1 < x < 2

A: Answer

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

A:

Q: 2. Find the surface area generated by revolving the circle x = cost, y = 1 + sint, 0sts2n over x -…

A: Use formula of area about x axis

Q: Find the area bounded by the curve x = sin 2y - cos 2y , the lines y = and y = T ano the y-axis.

A:

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

A:

Q: Find the surface area of revolution about the x-axis of R.

A: Given curve y=2x, 2.3≤x≤4.2 We have to find the surface area of revolution.

Q: Find the Moment of Inertia for the area bounded by the parabola x2 + y = 1 and the coordinate axes…

A: Graph of the given equation: x2+y=1 Since we have to find the moment only  for the 1st quadrant…

Q: Sketch the region enclosed by the curves and find its area. 1 x = 0, y = 1, y = e x = - NOTE: Enter…

A: The given curves are: x=1y, x=0, y=1, y=e. The curve x=1y can also be written as y=1x.

Q: Find the surface area of revolution about the y-axis of y=6x+3 over the interval 0 ≤ x ≤ 3

A:

Q: Q/ Find the Surface area generated by revolving y = 1 – x² around the y- ? 0 <x <1 axis, where

A: This is a problem related to integration. Based on the general formula and concepts we will answer…

Q: Find the surface area of revolution about the x-axis of y = 7x +7 over the interval 2 <x < 3

A: Given function,     y=f(x)=7x+7, 2≤x≤3f'(x)=dydx=7Here lower limit is 2 and upper limit is 3

Q: Q5/ Find the area of the surface generated by revolving y = where 0 <x <2, about the X-axis.

A: Given that the area of the surface generated by revolving y=x39 where 0≤x≤2 about x-axis.

Q: Find the surface area of revolution about the x-axis of y=4x+3 over the interval 0≤x≤1

A:

Q: Find the surface area of revolution about the x-axis of y 4x +7 over the interval 0 < r<3

A:

Q: Sketch the region enclosed by the curves and find its area. 1 ¤ = 0, y = 1, y= e³ x = - NOTE: Enter…

A:

Q: Find the surface area of revolution about the x-axis of y = 2x + 7 over the interval 0 <x <1

A:

Q: Find the surface area of revolution about the y-axis of x 36 – y? over the interval 0 < y < 2 -

A:

Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 4y - y² and y =…

A: Let's find moment with respect to you axis.

Q: 5. Find the surface area when the curve C = {(x,y): 0 < x < 2, y² = 2 – x} about the x-axis.

A: Surface area

Q: ion 5 Sketch and calculate the area enclosed by the curves x + y = 4, x – y = 0, and y + 3x = 4.

A:

Q: Find the surface area generated by rotating the curve f(x) = 6 – 2x, 1 < x < 3, about the x-axis.

A: We first find the derivative of the given function

Q: Sketch the region enclosed by the curves and find its area. 2 x = 0, y = 1, y = e? X = -

A:

Q: Find the surface area of revolution about the x-axis of y=4x+3 over the interval 2≤x≤5

A:

Q: Find the surface area of revolution about the y-axis of a 49 – y? over the interval 0 < y < 5

A: x = 49 - y2  Proof:  Let x = f ( y)  revolve about y - axis  Then surface area is given by formula…

Q: Sketch the region enclosed by the curves and find its area. 1 Y = V1 – 9x2' y = 2

A:

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

A:

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

A: Surface area generated by rotating a curve y = f(x) about the x-axis from x = a to x = b is given by…

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: Follow the procedure given below.

Q: Find the surface area generated by y = x³; x = 0 and x = 3 and is revolved on x-axis.

A:

Q: compute the surface area of revolution about the x-axis over the interval

A: The given function is

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: 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: Find the moment of inertia of the area bounded by the given curves with respect to the specified…

A:

Q: Find the surface area of revolution about the x-axis of y = 3x + 2 over the interval 0 < z <1

A:

Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = =9y-y2 and y = 2

A: Follow the steps.

Q: Find the moment of inertia of the area bounded by the curve y^2 = 4x, the line y = 4, the y-axis on…

A: Moment of Inertia about x-axis

Q: Q/ Find the Surface area generated by revolving y = 1– x² around the y- ?0 < x <1 axis, where

A:

Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 9y - y² and y =…

A:

Q: find the surface area by rotating the curve about the y-axis; y=x^3 from x=0 to x=2

A:

Q: Find the surface area of revolution about the x-axis of y = 5 sin(4x) c

A:

Q: 2. Determine the area of the surface generated by revolving a given curve about a given axis. a.…

A: Formula to find the surface area by revolution helps to find the required surface area. Formula to…

Q: Find the surface area of revolution about the x-axis of y 6x + 3 over the interval 2 < x < 5

A: In the question the curve given is - y=f(x)=6x+3 , 2≤x≤5 We need to find Surface area of revolution…

Q: Sketch the region enclosed by the curves and find its area. y = |x – 2|, x – 5y + 10 = 0

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Q: Find the moment of inertia with respect to y-axis the area bounded by a2y=x3, the y-axis, and the…

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Q: Find the surface area of revolution about the y-axis of y = 5x + 1 over the interval 0 < x < 3

A:

Q: Find the surface area of revolution about the x-axis of y = 2x + 6 over the interval 2 < x < 5

A:

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

A:

Q: Find the surface area of revolution about the x-axis of y = 6 sin(7x) over the interval 0 < x < 7

A: Here we have y=6sin(7x)  We have to find surface area of revolution about x axis in interval 0 to…

Q: Find the surface area generated by rotating y=(1/3)x^3 bounded by y=0 , x=0 , and x=9 about the the…

A: