(a) Find the area between the two shown curves. (b)Find the volume generated by rotating the area about: y = 5 y = x +5 (4,21) 16 (-1,6) y 3x +9

Q: Sketch and find the volume of the solid generated when the region enclosed by the curve y = x" + 1,…

A: "Since you have posted multiple questions, we will answer the first question. If you want the…

Q: ind the volume of the solid formed by rotating the region bounded by y = x, y = 0, x = 0, and x = 4…

A: Topic = Volume

Q: b) 1: Find the volume of the solid obtained by rotating the region bounded by the curve about the…

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Q: 3. Let R be the region under the curve y = 2x3/2 between x = 0 and x = 4. Find the volume of the…

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Q: find the volume of the solid obtained by rotating region B in Figure 13 about the givenaxis. x-axis

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Q: D. 48. Find the volume of the solid obtained by rotating the region bounded by y = 3Vx and x = 4…

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Q: Consider the region enclosed by the curves y=x +1 and y = 2x+1: %3D The volume of the solid…

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Q: 4- Find the volume of the solid obtained by rotating about the x-axis the region under the curve y =…

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Q: a) Find the area between y = 3x2 – 4 and y = 6x + 5. - b) Find the volume of the solid whose base is…

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Q: 1. Sketch the region enclosed by y = y = 0,x = 1,x = 5. Find the volume of the solid x2 obtained by…

A: Sketch the region enclosed by the given curves:

Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D…

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Q: B. Find the volume of the solid generated when the plane region bounded by 4. y =, x = 1, x = 4, and…

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Q: Rotating the first quadrant region between x=0 and x=f(y)=y(9−y) about the y-axis generates a solid…

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Q: Consider the region enclosed by the curves y = x+1 and y = 2x + 1: The volume of the solid generated…

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Q: Find the volume using the disk or washer method

A: Find the volume of the solid obtained by rotating region.

Q: b) : Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11…

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Q: :- Find the volume of the solid between y = x+1 which obtained the curves y = (x-1)² and by rotation…

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Q: Find the volume under the parabolic cylinder z = x2 above the region enclosed by the parabola y = 6…

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Q: Evaluate the volume created under the curve y = sin a +3 from x = 0 to a = ™ when the curve is…

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Q: (a) Sketch the region bounded by the graphs of y = x + 1, y = x2 – 1, x = 1, and x = 2. %3| %3D |…

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Q: find the volume of the solid obtained by rotating region B in Figure 13 about the givenaxis. y = 6

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Q: b) Find the volume of the solid obtained when the region under the curve y= 2-x , x=0,y%3D0 revolved…

A: We will find out the required volume of solid of revolution using cylindrical shell method.

Q: The portion of the y=-3*x^2+3 curve in region 2 of the analytical plane. What is the volume, in…

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Q: (b) Find the volume of the solid generated when R is rotated about the x-axis.

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Q: 3. y = 1-x ve x +y 1 Calculate the volume of the rotational turf formed by rotating the region…

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Q: The volume of the solid generated by the curve y = e, between r = 2 and a = 7 about %3D %3D the x…

A: Given : y = e-x

Q: D Evaluate the volume of the solid region E, in the first octant, that lies above z0 and below the…

A: Explanation of the answer is as follows

Q: Consider the region enclosed by the curves y = x²+1 and y = 2x + 1: 5- The volume of the solid…

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Q: Use the disk method to find the volume of the solid of revolution generated by rotating the region…

A: Given function is fx=x3 defined on the interval 0,8 Find the volume of the solid of revolution -…

Q: 3- a) Find the area of the region in the first quadrant between, y = x and y = x² b) Find the volume…

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Q: Sketch the region from the first quadrant, bounded by y = 2x, x = 0, and x - 2y + 3 = 0, and find…

A: This question is based on application of integration.

Q: Find the volume of the solid generated when the area bounded by the curves x^2-4y+4=0 and…

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Q: f(x) = -x2+4. Calculate the volume of the solid generated by rotating the region between f(x) and y…

A: Find the functions f(x) and g(y) and the limits a and b.

Q: 1. Find the volume under the parabolic f(x,y) = x²+ 4y² and above the rectangle R :0 < x < 1,1 < y <…

A: Given  fx,y=x2+4y2

Q: Ex/ Find the volume of solid generated by revolving the region enclosed by x = y² and x =y %3D 1-…

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Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

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Q: Find the volume of the solid S obtained by rotating R about the line y = -2.5. S appears below.

A: Given

Q: find the volume of the solid obtained by rotating region A in Figure 13 about the givenaxis. y = 2

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Q: find the volume of the solid obtained by rotating region A in Figure 13 about the givenaxis. x = −3

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Q: (a) Find the volume of the solid generated by revolving the curve 4x2 + 9y = 36 between y = 0 and y…

A: I have given this answer in step-2.

Q: Consider the region enclosed by the curves y = r² + 1 and y = 2r + 1: The volume of the solid…

A: Topic- Area Under the Curve

Q: a) Neatly sketch (and shade in) the area bounded by 5 y = sin ¹ (F2), v y = 0, x = 0 and a = 6 b)…

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Q: A- Find the volume of the solid generated by revolving region Under the curve (y=4-x²), about x = 2

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Q: (b) The volume generated by i. rotating the area enclosed between y = 1- 2² and y = 0 by the y axis.

A: Given that the area is between curves y=1-x2 and y=0. Rotated about y-axis.

Q: find the volume of the solid obtained by rotating region A in Figure 13 about the givenaxis. x-axis

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