Use polar coordinates to evaluate the volume located between the cone z =V =/x²+y² and the plane z =1.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the volume of the solid obtained by rotating the region of the plane bounded by the curves y=x…

A: Given: The curves are y=x and y=x. The solid obtained on rotating is shown below.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: We have to find the volume of the solid by rotating the region in the firs qudrant bounded by the…

Q: Find the volume of the region bounded below by the cone ( =V(x² + y²) ‚and above the plane ( z=1),…

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Q: Calculate the volume between the parabolid z = 25- (x ^ 2 + y ^ 2) and the sphere x ^ 2 + y ^ 2 + z…

A: Given - The paraboloid z = 25 - x2 + y2 and the sphere x2 + y2 + z2 = 25 , the center of the volume…

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: Given

Q: Use cylindrical shells to find the volume of the solid generated petween x = y, y = 0, x = 3…

A: Solution Given The solid generated when the region enclosed between x=y, y=0,x=3 revolved about the…

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

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Q: Determine the volume of the solid of revolution which is formed when the area bounded by x = 0, y =…

A: Given curves are: fx=y=arctanx ; x=0 & y=1 From the dentition of the inverse function, we can…

Q: Find the volume of the region bounded below by the cone (z (22 + y?) and above the plane ( z 1), by…

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Q: Find the volume and centroid generated by revolving the given plane area about the indicated axis.…

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Q: Use the method of cylindrical shells to find the volume of the solid obtained by rotating the region…

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Q: Find the volume and centroid generated by revolving the given plane area about the indicated axis: x…

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Q: Use the disk method to find the volume of the solid obtained by rotating the region bounded by the…

A: Given:- y = x5 y=0 , [0, 1] To find:- Volume of about x axis

Q: Find the volume of the solid. y=x2, x=0; x=2, y=0, about the x-axis

A: use the volume of solid of revolution formula,

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by z = 0,…

A: Given :   The regions in the first quadrant bounded by   x = 0  , y = 1  , x = y5   To determine :…

Q: Use cylindrical coordinates to find the volume of the region bounded by the cylinders r = 2 and r =…

A: For the cylinder, the angular limit is from 0 to 2π. The inequalities are, 2≤r≤35≤z≤60≤θ≤2π The…

Q: Find the volume of the solid generated by rotating the area bounded by the lines y=x, y=2x and x=3…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: A right circular cone is generated by revolving the region bounded by y = hx/r, y = h, and x = 0…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Find the volume of the solid of revolution obtained by rotating the region bounded by x = 0, y = 2 –…

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Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

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Q: Use cylindrical coordinates to find the volume of the solid that is bounded above by the sphere x2…

A: sphere⇒x2+y2+z2cone⇒z=x2+y2   let x=ρ sinϕ sinθy=ρ sinϕ sinθz=ρ cosϕ sphere⇒ρ=1cone⇒ρ cosϕ=ρ…

Q: Use polar coordinates to find the volume inside the cone z = 2 - x² + y² and above the xy-plane.

A: Obtain the volume inside the cone z=2-x2+y2 and above the xy-plane. Find the equation of the circle…

Q: 4. y= 6x- x', y = x? - 2x, y = -1

A: We find the volume.

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A: x = 0, y = 1, x = y14about the line y = 1intersection pointwhen y = 1 then x = 1(1,1)

Q: Use the method of cylindrical shells to find the volume V generated by rotating the region bounded…

A:

Q: Find the volume of the solid obtained by rotating the region in the first quadrant bounded by the…

A:

Q: Use the method of cylindrical shells to find the volume V of the solid obtained by rotating the…

A: First I have written the volume formula of shell method revolving about x-axis.Just use the formula…

Q: ). y = x² +1, x=0, y = 5; about y-axis

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Q: Use cylindrical coordinates to find the volume of the region bounded by the plane z = 0 and the…

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Q: Find the volume of the solid region bounded in the first octant by the plane. z =1- 8x - 2y Need…

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Q: Use cylindrical coordinates to find the volume of the region enclosed by the cylinder x +y = 81 and…

A: Given: x2+y2=81 x+y+z=18

Q: Find the volume of the solid obtained by rotating the region bounded by 2 y = x", y = 1; about the…

A: given   about line y = 8 volume can be given as below

Q: Find the volume of the solid generated by revolving the given plane area having the given boundaries…

A: Solve the following

Q: Find the volume of the solid bounded by the surfaces z + y = 2y, :- V+ y and the plane z-0. 3.

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Q: Find the volume of the region bounded below by the cone ( z=V(x² + y²) ‚and above the plane ( z=1),…

A: Volume of cone = (πr2h)/3

Q: 7. y' = 4x, x = 4; about x = 4

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Q: Use polar coordinates to find the volume of th esolid below the plane 2x+y+z=4 and above disk…

A: Equation of plane is 2x+y+z=4. Equation of disk is x2+y2≤1.

Q: Use the disk method to find the volume of the solid generated by revolving the given curve about the…

A: The curves given are : y=21+x , x=0 , y=0, x=3 about y-axis. Using disk method , to find the volume…

Q: Find the volume of the solid cone obtained by rotating the region bounded by the lines y=(1/2)x,…

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Q: Use cylindrical coordinates to find the volume of the region bounded by the plane z = 0 and the…

A: To find the volume using cylindrical coordinates.

Q: Use the disk method to find the volume of the solid generated by revolving the region bounded by the…

A: We first sketch the graph using a graphing calculator

Q: Find the volume of the solid obtained by rotating the region of the plane bounded by the curves y =x…

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Q: Find the volume of the solid obtained by rotating about the line y=1, the region bounded by y=cosx,…

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Q: Draw the region bounded by the curves y=2x^2, y=2, and x = 0. Use the disk method to find the volume…

A: Given:

Q: Use cylindrical shells to find the volume of the solid generated when the region enclosed between x…

A: We have to find the volume of the solid generated when the region is enclosed between x = y, y = 0,…

Q: Use cylindrical shells to find the volume of the solid obtained by rotating the region bounded by y…

A: The solution is as below

Matrices

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements are distributed horizontally in the form of rows, and vertically in the form of columns.