Find the volume of the region E 3 = {(x, y, z) : æ² + y? – 3 < z < v 9 – x² – y² } - - -

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

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Q: Find the volume of the region bounded above by the sphere x² + y² + z² = 2 and below by the parabo-…

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Q: Find the volume oF the solid obtained by rotating about the Y- axis the region bounded by Y= x2 and…

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Q: Find the volume of the solid in the first octant bounded by the cylinder z = 4 – y? and the plane x…

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Q: The volume of the solid under the plane 4 x+ 5 y - z=0 and above the region enclosed 27 by y= 3 x…

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Q: Find the volume of the solid above the region D={(x,y) : 0s xs V49, 0S ys 49-x2} and between the…

A: volume:  V=∫049∫049-x2(49-y)dydx

Q: Find the volume of the region between the planes x+y + 2z =2 and 2x + 2y +z = 4 in the first octant.

A: Find the volume of the region between the planes  x +y + 2z = 2 ......... (1)  and  2x + 2y +z =4…

Q: Let R be the region bounded by y=x, x= 3 and y = 0. The volume of the solid obtained by revolving R…

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Q: Find the volume of generated by rotating the region bounded by x = 4y – y? and x = 0 (a) about the…

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Q: which integral gives the volume of the region enclosed by the cylinder x^2+z^2=4 and the plane y =0…

A: Consider the formula for integral to find the volume of three - dimensional region E.This also…

Q: Find the volume of the solid obtained by rotating the region bounded by x = -6+ y² and x = y y about…

A: Consider the curves :                                         x=−6+y2  ,  y=x  about x =-8 The graph…

Q: Find the volume of the solid above the region D={(x,y) : 0s xs V71, Os yS 71-x-} and between the…

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Q: Find the volume of the region bounded above by the sphere x2 + y2 + z2 = 2 and below by the…

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Q: 2) Find the volume of the solid under the plane z = 3x +y and above the region determined by y = x'…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -6+ y² and a y about the…

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Q: The volume generated when the region bounded by y = x , y = 1, x = 0 is rotated about x - axis is…

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Q: The region bounded by f(x) = - - l2? + 5x + 6, x = 0, and y = 0 is rotated about the y-axis. Find…

A: The region bounded by f(x) = -x2+5x+6,   x=0, and  y=0  is rotated about the y-axis. So, the volume…

Q: Find the volume of the solid generated by revolving the area bounded by x- y2 + 6y-9 0 and x- y-9 =…

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Q: Find the volume of the region en-closed by the cylinder x2 + y2 = 4 and the planes z = 0 and x + y +…

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Q: The volume of the solid under the plane 3 x+ 3 y -z=0 and above the region enclosed 23 by y=2 x and…

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Q: Find the volume of solid generated by revolving the region bounded by g(x)=x²+2x+ 5about the x-axis.…

A: Given:      fx=x2+1      gx=-x2+2x+5  Volume of solid revolving around the region is…

Q: Find the volume of the solid bounded by (x- 1)² + y = 1 and z? = x2 + y above the xy-plane %3D as in…

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Q: Find the volume of the region above the xy-plane, inside the cone z = 14 – Vx² + y² and inside the…

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Q: Let R be the region bounded by y=x, x= 3 and y = 0. The volume of the solid obtained by revolving R…

A: Q.7)  Axis of revolution ( r(x) ) is line : x = 5  r(x)  =   (5 - x)

Q: 6. Find the volume of the region in the first octant bounded above by the cylinder z = 1- y and…

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Q: Find the volume of the region bounded above by the plane z = 2 – x -y and below by the square R:0…

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Q: 44. Find the volume of the solid bounded above by the surface z = 1+xy and below by the triangular…

A: In mathematics, we study two types of figures, one is curvilinear while the other is…

Q: Use either double or triple integrals to find the volume of the solid region E bounded by z = 4 and…

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Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = -4.5, x…

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Q: Find the volume of the solid bounded by the cylinder x2 + y2 =16 and the planes y=z, x=0, z=0 in the…

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Q: The volume of the solid generated by revolving the region bounded by x+ 2y =2, y=0, and x=0, about…

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Q: Find the volume of the solid above the region D={(x,y) : 0< xs V27, 0s ys 27-x2} and between the…

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Q: 2. Find the volume of solid generated by revolving the area bounded by: y=x²+1, x = 0, y = 0 and x=2…

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Q: What is the volume of the solid R bounded by the x- axis, x = 2, and y = x2 when R is revolved…

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Q: The region bounded by f(x) = - 3x? + 15x + 42, x = 0, and y O is rotated about the y-axis. Find the…

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Q: Let B be the region in the x y plane enclosed by y = 3−x2 and the x-axis. Let S be the solid shape…

A: let B be the region in x-yplane enclosed by y=3-x2 and the x-axis. S be the solid with base B and…

Q: Find for the volume of the solid generated by revolving the region bounded by у %3 3 х?, у%3D0 аnd x…

A: Let,s find the curve and the bounded region The yellow color is mention the bounded region

Q: Find the volume under z 2x + 3y + 10, above the xy-plane and inside x² + y = = y.

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Q: Find the volume of the solid above the region D={(x,y) : 0S xs V15, 0s ys 15-x²} and between the…

A: Let's find.

Q: Find the volume V(S) of the solid S generated by revolving about the x-axis the region R bounded by…

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Q: 2) Find the volume of the solid under the plane z 3x + y and above the region determined by y = x'…

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Q: Let a> 1 be a constant and let R be the region bounded by y = 10x² and y = 10x + 20 . Find the…

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Q: The volume under the plane z – a? – 2y? = 0 and above the region enclosed by the line y = x – 128…

A: We are asked to find the double integral to find the volume.

Q: . Find the volume bounded by z = 9 –x² – y² and z = 0. Give a numerical %3D answer.

A: Given that the region is bounded by z=9-x2-y2 and z=0. We know that the volume bounded between…

Q: 28) find the volume in the I" ocant bounded by Coardinate plane, the Cylinder xy=4 and the plane…

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Q: Find the volume of the solid above the region D={(x,y) : 0s xs V55, 0s ys 55-x²} and between the…

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Q: 2) Find the volume of the solid that is bounded above by the cylinder z = x and below by the region…

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Q: Find the volume of the solid under z=4x and above the region bounded by y=x2 , y=4, and x=0

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Q: Find the volume of the solid bounded by the cylinders x2 + y2 = 4r2, y2 + z2 = 4r2.

A: We know that : Volume under the surface z = f(x, y) and above the region D in x-y plane is given by

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.