(b) ||| ryz dV if S is the region bounded above by x² + y² + z² = 16 and below the %3D Vr2 + y? with dV = dz dy dr. cone z = %3D

Q: (b) / = xyz dV if S is the region bounded by the cylinders x² + y² = 25, x² + z² = 25 and the first…

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Q: (d) |// Vx² + y² dV, where P is the region under the cone z = 2 – ry-plane. /x² + y² and above the…

A: Since you have asked for a multiple question, we will solve the first question for you. If you want…

Q: x² sin xy 14.5.8. || - dA(x, y), if D is the region bounded by æ² = "4, x² = TY, y² = ;, and D y? =…

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Q: Evaluate ffysin(xy)dxdy น over the region bounded by xy = 1, xy = 4, y = 1, and y = 4 using x == , y…

A: We have to find the area using double integration.

Q: ex: Evaluate SS (&++y²)dV over the first octont region boundeol by the cylinders x*ty=/ and xay=4…

A: Convert coordinate system into cylinder coordinate system. Sketch region D and find range of…

Q: 1. Compute  E yz dV , where E is the region above z  0, below z  y, and inside x 2 y 2  4

A: Obtain the limit of integration as follows.

Q: Evaluate y'dx+ xydy where C is the boundary of the region bounded by y = Vx.y 0, and x 9.

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Q: 1 2y Sketch the graph and shad the bounded region for the given integration [ f(x,y)dx dy 2

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Q: Evaluate fSR f(x, y) dx dy, where R is the region given by 0<x < 2;0 < y < 5 and f(x, y) = 1 – ² –…

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Q: Evaluate || 5x cos y'dxdy where S is the region bounded by y = 2 and 1 x and the y-axis. 4 y =

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Q: Volumes of solids Find the volume of the following solids.

A: The region is bounded by the curves, The region is shown in the graph given below,

Q: y2 %3D 1. 60. x²y dx dy dz, T: Region bounded by 4

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Q: I| (12y – 8x) dV where E is the region bounded by y = 10 – 2z and in front of the regic bounded by z…

A: Please refer to the image below.

Q: 2 Evaluate 2 dA where D is the region described by 0s ys 55 - x Integral is equal to : Enter an…

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Q: 5. Evaluate z dV where E is the region bounded below by x² + y² + z² = 4 and above by x2 + y? + z² =…

A: We have to evaluate the triple integral ∭E z dV over the region E bounded above by x2+y2+z2=9 and…

Q: Se Si (x² + y² ) dxdy where the bounds is defined by the region shown below: y = 3 de dr y = /9 – x2…

A:

Q: (b) ||| ryz dV if S is the region bounded above by x² + y² + z² = 16 and below the cone z = Vr2 + y²…

A: In cylindrical coordinates,                                                               and…

Q: 1. Evaluate , 3y e ²x dA where D is the region bounded by x = ₁x = 1, y = 1 and y = 2. 2

A:

Q: a) Evaluate ff, (3 – 4x)dV where E is the region below z = 4 – xy and above the region in xy – plane…

A: To evaluate the given triple integral.

Q: 1. Evaluate the double integral r²y dA, where D is the region enclosed by the x-axis and the…

A: We can evaluate the double integral.

Q: Evaluate f S Sp(2+ e(=²+v²+z*)*/²) dV, where B = {(x, y, z) | x² + y² + z² < 9} Describe the region…

A: Consider the provided question, (2) (a)

Q: ]]] xyz dV if S is the region bounded above by x² + y² +2²= 16 and below the S cone 2 = √² + y² with…

A:

Q: - The region bounded by 2y = x and (x − 2)² = −4y + 12 is revolved about the line y = 4. Determine…

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Q: ∫c ( e^(y^2) +x)dy + (y^2 +arctan (sqrtx))dx where C is the region bounded by y = -x, y=-1 and x=2

A:

Q: 2ху dx + (x + у) dy Jc C: boundary of the region lying between the graphs of y = 0 and y = 1 – x2

A: Given: ∫C2xy dx+(x+y)dy y=0 and y=1-x2

Q: 5. Evaluate , x dV where S is the region (solid) bounded by x = 0 and x =

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Q: Sketch the region R of integration and switch the order of integration. f(x, y) dx dy 8 8- 2- 4. 8.…

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Q: 18 Evaluate EUE z(x2 +y? +z?) dV where E is the region described by 2 0szs v1-x -y

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Q: ) Evaluate Sxy dx dy R is the region bounded by x =0, x =2, y = x

A:

Q: 2. Evaluate [(3yz)dV where B is the region in the first octant lying below the plane x + 2y +2: = 4.

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Q: Q3// Evaluated f S x dA where Ris region bounded by x = Iny, x=0 and y =e.

A: The region given to us is x = lny, x = 0 and y = e

Q: Suppose the region R is bounded by y = 0, y = x, and x = 1. Evaluate: 4.x2 dA =??? 1+x4 R 2.0 1.5 dy…

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Q: Use Green's Theorem to evaluate the line integral √(x − x) dx + (2x - y) dy (y- for the given path.…

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Q: Set-up the integral to calculate the area of a region bounded by х-у-3 and y-x2 -6x+9? A dy dx x2—…

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Q: SSR (r + y)2 dA, where R is the region bounded by the limaçon r = 2 + cos 0

A:

Q: 17. (2 +y +2) dx dy dz, W is the region bounded W by x+y+z= a (where a> 0), x = 0, y= 0, and z= 0.

A: We have to solve the integral and show the graph of question 17.

Q: x² and t %3D 2) = z where E is the region bounded by the parabolic cylinder y

A: We have to set up the integral according to the given information

Q: Q/ Evaluate (1Ox²y³-6 dA of D where D is the region bounded by : x = -2y? and x = y3.

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Q: b.) xyz dv if S is the region bounded by the cylinders x² + y² = 25, x² + z² = 25 and the first…

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Q: 5. Evaluate z dV where E is the region bounded below by r2 +y² + z² = 4 and above %3D by r² + y² +…

A: We have to evaluate the integral ∭EzdV, where Eis the region bounded below by x2+y2+z2=4 and above…

Q: xyz dV where E is the region bounded by = y², x² = y, z = xy y z = 0.

A:

Q: 2. Evaluate Vye"V dA where D is the region bounded by y = x² and y = 4.

A:

Q: Evaluate (x+ y)dx+ xy dy. where Cis the positively-oriented boundary of the region bounded by the…

A: We have to evaluate the integral                                                  ∮Cx+ydx+xydy Where…

Q: O R is the region bounded by x² + y – 4 = 0 and x – y +2 = 0 an is revolved about y = 0.

A: We use washers method to find the integral of that evaluate the volume of the solid of revolution.

Q: Use Green's Theorem to evaluate (e" + y²) dx+ (e" +x²) dy where C is the boundary of the region…

A: we have to evaluate the following by using greens theorem

Q: II (3x + 7y) dV = 20 where E is the region in the first octant 3 We have E bounded by the cylinder…

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Q: Evaluate the line integral [2y'dx+(x* +6y°x)dy where C is the boundary of the R region shown below…

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Q: 3. Evaluate SIS 3z dV where E is the region inside both x² + y² + z² = 1 and z = E x² + y².

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Q: If we rotate the region under the curve y = 8 between x = 2 and x = 3 about the x-axis, what answer…

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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.