Find the area bounded by the x-axis, the line y=1, and that arc of y=sinx between x=0 and x=n/2 is revolved about the line y=1. Find the volume generated.

Q: If the area of the curve y = sinx from x = 0 to x = π is revolved about the y=axis i, what is the…

A: The given curve is: y=sin x      from  x=0  to  x=π

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

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Q: Find the volume of the solid S generated if the region is bounded by y = sec x, the x - axis, the…

A: Given:    Region y=secx line x=π4  Volume of solid V=π∫abfx2dx   here f(x)=secx            a=0…

Q: Find the volume obtained by rotating the bounded region defined by y = Vx y = 0 , and x = 4 around…

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Q: Find the volume of the solid of revolution when the region below y = x +1 and between x = 0 and x =…

A: Explained below

Q: Find the volume of the solid that results when the region enclosed by y = e2", y = 0, x = 0, x = ln…

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Q: Find the volume generated by the area bounded by the parabola x=√ay , and the line y=b that is…

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Q: 3. Find the volume generated if the function y =/1-x is revolved around the x-axis. (use the only…

A: If y=f(x) is a function, then the independent variable x is called the input of the function and the…

Q: Find the volume generated by the area bounded by the parabola x = Vay , and the line y = b that is…

A: As per our guidelines, we are suppose to answer only one question. kindly repost the question as the…

Q: Given the area in the first quadrant bounded by the curve x^2 = 8y, the line x = 4 and the x – axis.…

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Q: Find the volume generated by revolving the area bounded by y = 1 - x³, OX and OY about the x-axis.

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Q: Find the volume generated by the area bounded by the y- axis, the line y = 1, and the arc of y = sin…

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Q: . THe area enclased by the loop of the curved y= x (x - 3)° is Find the volume generated . revolved…

A: Here 1st we will find points where loop is formed and then shade the region bounded ,  To form the…

Q: 6. Find the volume generated by rotating the curve y = e-® about the x-axis on the interval [0, ∞)

A: The given problem is to find the volume of the solid generated by rotating the curve y=e-x about the…

Q: Find the volume generated by revolving the region above the curve y=x3 , under the line y=1, and…

A: Given: y=x3, y=1, x=0 & x=1 From the given curve the bounded region is as shown below: Apply…

Q: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: The area bounded by the parabolas y² = 4x and x² = 4y is revolved about the y-axis. Find the moment…

A: The given equation of the parabolas are, y2=4x and x2=4y.

Q: find the volume of the solid generated by revolving the shaded region about the given axis.

A: From the given figure, the volume of solid can be obtained as follows. V=π∫0π2y2 dx=π∫0π2sinx cosx2…

Q: Find the volume generated by revolving the area under the curve y=e^x from x=0 to x=1 about the…

A: Volume of the solid obtained by revolving x=g(y) about x-axis is given by,                   V =…

Q: Find the volume generated by revolving the area bounded by xy=4, x=1, x=4 and the x-axis about the…

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Q: Find the volume (in cubic units) of the region bounded by the curves (y – 1)° = x – 1 ,and the lines…

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Q: Find the surface area of the volume generated when of y = x3, on the interval [0, 1], is revolved…

A: We have to find the surface area of the volume generated by the curve by rotating about the y axis.

Q: Find the volume of the solid obtained by revolving the region under y = ex for 0 ≤ x ≤ 2 about the…

A: The radius of the region= x Height = y= ex

Q: Find the volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis for…

A: To find: The volume V obtained by revolving the region between y = x2 + 4 and y = 2 about the x-axis…

Q: Find the volume of the solid formed by y = 4 sin(x) bounded by x = 0 revolved about the x axis on…

A: We have to find the volume of the solid formed by y=4sinx bounded by x=0 revolved about the x axis…

Q: The region bounded by the curves y = sec x and y = 2, for 0 sxs, is revolved around the x-axis. What…

A: Given that the region is bounded by the curves y=secx and y=2 for 0≤x≤π3. Obtain the volume of…

Q: y = x² – 3x; y + x = 0 about the x-axis

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Q: Find the volume obtained by revolving about 0X the area under the catenary y = (a/2)^(e^x/a +…

A: Find the volume.

Q: 1. Find the volume of a solid if the area boun ded by the curve y = In x, the x-axis and the line x…

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Q: Consider the region enclosed by the curve y=In x and the lines y=0 and x=5. If we revolve this…

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Q: Find the volume of the solid generated by revolving the region bounded by the curve y = In x, the…

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Q: Find the volume generated by revolving the area bounded by xy=4, x=1, x=4 and the x-axis about the…

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Q: Find the volume generated by revolving the area bounded by y² – 4y – 4x + 4 = 0 and x = 1 about the…

A: Volume bounded by the region along x=1

Q: 3. Find the volume generated by revolving about the x-axis in the second quadrant under the curve y…

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Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

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Q: Find the volume generated by the area bounded by the y-axis, the line y=1, and the arc of y=sin x…

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Q: 3. Find the volume when the part of the curve y = x + 1 between x = 1 and x = 2 is rotated through…

A: Here we have to find the volume when the part of the curve y=x2+1 between x=1 and x=2 is rotated…

Q: Find the volume generated by revolving the area bounded by y² - 4y - 4x + 4 = 0 and x = 1 about the…

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Q: Find the volume of the solid generated by revolving the region between the parabola x = y? + 1 and…

A: this problem is solved using shell method..

Q: Find the volume generated if the area bounded by the curve x? = y – 2 is revolved about the x- axis.

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Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the y-axis.

A: Consider the given equation of the circle and find function f(x). Plot the function f(x) and find…

Q: Find the volume, if an area bounded by an asteroid I = cos t y = sin³ t ve y = -/I+x ,y-axis, and…

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Q: The volume of the solid that results when the region between the curve y=ex and the line y = 0, from…

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Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: we have been given the curves y=x and y=x5 we have to generate the volume by revolving the curve…

Q: Find the volume generated by revolving the area bounded by   xy=4, x=1, x=4 and the x-axis about the…

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Q: Find the volume V of the solid of revolution that results when the region under the graph of f(x) =…

A: To find the Volume V.  Given that f(x) = ln(x).

Q: Determine the volume generated when the area bounded by the curves y=sin(x) an y=cos(x) from x=0 to…

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Q: Find the volume of the solid generated in the first quadrant by revolving the region bounded by the…

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Q: What is the exact volume of a solid that is formed by rotating the region enclosed by the functions…

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Q: Find the volume generated by revolving the area bounded by the parabolic arc Vx + Jy = Va and the…

A: Given problem:- Find the volume generated by revolving the area bounded by the parabolic arc √x + √y…