how by integration that the centroid of a uniform semi-circular lamina of radius a from ne centre is 4a

Q: Find the vohume of the solid generated by revolving the region bounded by y=x,Y3D0 ar and x=9, about…

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Q: Set up the double integral that will find the volume of a solid bounded by z = 1- y²x² and the xy-…

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Q: Compute the surface area of the solid of revolution formed by rotating the bounded region formed…

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Q: By using the double integral, find the volume of the tetrahedron bounded by the 3x ordinate planes…

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Q: Find the volume of the solid bounded by z = 4х - Зу, Зу %3D 4х, Зу %3D - 4х and x = 7. Leave your…

A: Given that z = 4x - 3y, 3y = 4x, 3y = - 4x and x = 7 We have to find volume.

Q: Find the volume of the solid bounded by the plane 2x + 8y + 5z = 2 in the first octant. Leave your…

A: Equation of plane, 2x + 8y + 5z =2

Q: Find the volume of the solid that is bounded by the surfaces z = = 92 - x2 - y2 in the first octant.…

A: 0≤ z ≤ 81-x2-y2z=0x2+y2=920≤y≤81-x20≤x≤9

Q: Use double integral to find the volume of the tetrahedron bounded by the coordinate planes and the…

A: Solve above the following by double integration

Q: Find the volume of the solid bounded by the plane 3x + 8y + 4z = 10 in the first octant. Leave your…

A: In the given problem the first octant denotes the region in the coordinated plane where x,y,z≥0 The…

Q: Evaluate the double integral that will find the volume of a solid bounded by 2=1-2y²-3r² and the ry-…

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Q: Find the volume of the solid bounded by the elliptic paraboloid z = 1+ 2x² + 5y², the planes * = 5…

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Q: Find the volume of the 'cover' that is bounded by 32 < x2 + y2 + z2 < 72 and the upper cone z2 = 5x2…

A: To find the volume of the solid that is bounded by 32≤x2+y2+z2≤72 and the upper cone z2=5x2+5y2.

Q: Find the centroid of the volume generated by revolving about the x=1, the area bounded by…

A: Given that the area bounded by x2-2x+4y=19, y=f(x) The outlines x=a and x=b about x- axis is…

Q: Calculate the volume of the solid bounded by cone z2=x2+y2 and cylinder 4=x2+y2.

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Q: Calculate the volume of a solid on the first octant and under the plane defined by 2x+6y+6z=24.…

A: Let's find.

Q: Calculate the volume of the solid in the first octant bounded by the plane y = 4 and the cylinder z…

A: Volume is calculated using triple integration. Here x varies from 0 to 2 , y from 0 to 4 and z…

Q: Find the volume bounded by the paraboloid z = 1+ 2x + 2y² and the plane z = 15 in the first octant.

A: We are required to find the volume bounded by the paraboloid z=1+2x2+2y2 and z=15. The graph of the…

Q: Find the centroid of the volume generated by revolving about the line x = 1, the area bounded by x2-…

A: We will use basic integral calculus and techniques of integration to answer this question.

Q: 9. The Theorem of Pappus will always be applicable to determine the volume of solid revolution for…

A: We will answer the first question as we don't answer multiple questions at a time. Please resubmit…

Q: A solid is formed in the first octant bounded by the plane z = 6 - r - y and the cylinder y = 4 –…

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Q: Find the volume of the solid in the first octant bounded by 2x + 3y + 4z = 12 and the coordinate…

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Q: Find the volume in the first octant bounded by the cone z2 = x2 − y2 and the plane x = 4.

A: The given conic curve is, z2=x2-y2 Boundary limits are as follows, Limit of x: 0 to 4Limit of y: 0…

Q: Find the volume of the solid bounded by the plane 3x + 6y + 3z = 4 in the first octant. Leave your…

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Q: Find the volume of the solid bounded by the plane 4x + 6y + 7z = 9 in the first octant. Leave your…

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Q: Use cylindrical coordinates to calculate the volume between the surfaces in the first octant if z =…

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Q: Find the volume of the region bounded by: y = x2 +1 y 2 that is rotated about the liney

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Q: Find the volume of the solid generated of the area bounded by y 8x and y 2x, rotated about %3D y =…

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Q: Find the volume of the solid bounded by the plane 9x + 3y + 3z = 6 in the first octant. Leave your…

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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k2 = 0 and…

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: Find the volume of the solid in the first octant bounded bythe cylinder z=16 -x2 and the plane y=5

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Q: Find the volume of the solid bounded by the plane 10x + 8y + 8z = 9 in the first octant. Leave your…

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Q: Find the volume of the solid in the first octant by bounded by the plane 3x +42 = 12, y = 2 and the…

A: Volume bounded by thefirst octent

Q: Calculate the volume of the region bounded by the spherex + y² + z² = 9 from above and by the cone…

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Q: (Choose from: a. Disk Method, b.Washer Method, c. Shell Method, d. Disk and Washer, e. Disk and…

A: Given that, y = x2 ; x = 0; y = 15 3) Volume of the region bounded by the given curve rotated about…

Q: Find the volume generated when area bounded by axes and line 3x + 2y = 12 is revolved about y-axis…

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Q: Find the centroid of the volume formed by revolving about the x – axis the area bounded in the first…

A: The parabolas given are as follows: x2=2kyx2+k2-4ky=0 Simplify the second equation. x2=4ky-k2 Hence,…

Q: Find the centroid of the volume generated by revolving about the x=1, the area bounded by…

A: Answer is mentioned below

Q: Find the volume of the solid bounded by the plane 8x + 5y + 10z = 7 in the first octant. Leave your…

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Q: Use cylindrical coordinates to compute the volume of the region defined by 4 - x² – y² <zs 10 – 4x2…

A: We have to compute the volume of the region defined by 4−x2−y2≤z≤10−4x2−4y2. Let x=rcosθ and y=rsinθ…

Q: Find the volume of the solid bounded by the plane z = 3 - 5x - 9y and the coordinate planes in the…

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Q: Use Simpson's Rule to estimate the centroid of the region shown. yA 4 2 6 8 x 4.

A: The number of subintervals as n=8. Calculate the subintervals ∆x of the region:  ∆x=b-an…

Q: he volume bounded by y = x², y = 0 and x = 2 rotated about the specified = specified orientation of…

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Q: Find the centroid of the volume generated by revolving about the line X=1, the area bounded by

A: The required region is as shown below:

Q: The area bounded by y=3Vx and 2y=3x is revolved about the y-axis. Using circular ring method, set up…

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Q: Find the volume of the solid that is bounded by the surfaces z = 92 - x2 - y2 in the first octant.…

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Q: Find the volume of the solid bounded by the plane 7x + 3y + 8z = 3 in the first octant. Leave your…

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Q: first

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Q: Find the volume of the solid bounded by the plane 7x + 3y + 4z = 3 in the first octant. Leave your…

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Q: find the coordinates of the centroid of the plane area bounded by the parabola y=4-x^2 and the…

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Q: Find the volume of the solid in the first octant bounded by the parabolic cylinder z= 25 - x and the…

A: Since we are considering only in the first octant so lower limit of both x and y will be zero.…

Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.