explain the cylindrical coordinate  and use triple integral to determine the volume of region below z=6-x above z=  -√4x2+4y2  inside the cylinder x2+y2=3 with x<0?

Q: Find the volume of the solid region bounded above by z = 4 – 2x – 2y and above by the triangle…

A: We will find out the required volume.

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

A: Given information,

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

A: Given: -

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

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the curves y=√2x, y=x^2/2,…

A: Given curves, y=2xy=x22 Using the washer method: Formula for the volume of the solid obtained by…

Q: Solve by integration: Find the volume of the solid generated by rotating the area bounded by the…

A:

Q: Find the surface area of the solid generated by revolving the region bounded by the graphs of = x",…

A:

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A: Given

Q: Use triple integrals to find the volume of the solid bounded above by  the cylinder z = 4 - 3y2 and…

A: Given equations are z=4-3y2z=4x2+y2 The two curves intersect when 4-3y2=4x2+y24x2+4y2=4x2+y2=1

Q: Set up an iterated triple integral that would find the volume of the solid above z = 2 , and below z…

A: The given solid is above z=2 and below z=10-x2-y2

Q: problem in photo attached

A: Find volume of solid.

Q: Find the volume of the solid region bounded above by z = 4 – 2x – 2y and above by the triangle…

A: We have to find the volume of solid region bounded above by z=4-2x-2y and the triangle  enclosed by…

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

A:

Q: Find the volume of the solid of revolution generated by rotating the region bounded by the graphs of…

A: We need to find the volume of the solid of revolution generated by rotating the region bounded by…

Q: problem in photo attached

A: The solid bounded by the given curves and rotating about x axis

Q: By using the disk method, determine the integral which gives the volume of the solid obtained by…

A: Given that, the region is bounded by y=e-x and x=3 and x-axis and y-axis about the line y=-3.

Q: Find the volume of the solid obtained by rotating the region bounded by y = 6x², x = 2, x = 5 and y…

A: Use formula about x axis

Q: problem in photo attached

A: From the given statement,

Q: Find the volume of the solid obtained by rotating the region bounded by y = 3x², x = 2, x = 5 and y…

A: Topic- application of integration

Q: Use a double integral to find the volume of the solid that lies inside the sphere x^2 + y^2 + z^2 =…

A: Given :- The volume of the solid that lies inside the sphere x2 + y2 + z2 = 25 and inside the…

Q: Find the volume using double integral of the solid bounded above by x2+y2+z2 = 6 and below by z =…

A: Given Solid bounded above by x2+y2+z2=6 and below by z=x2+y2. To compute volume using double…

Q: Use triple integrals to find the volume of the solid bounded above by  the cylinder z = 4 - 3y2 and…

A:

Q: Use a triple integral to find the volume of a solid enclosed by the elliptic paraboloids z = 2x2  +…

A:

Q: Use the method of cylindrical shell to determine the volume of the solid obtained by rotating the…

A:

Q: he region bounded by f(x) = - 2x2 + 12x + 54, x = 0, and y = 0 is rotated about the y-axis. Find %3D…

A:

Q: Find the volume of the solid generated by revolving the area about y = 4 the area bounded by y 2 =…

A:

Q: Use the triple integral to find the volume of a solid G enclosed by surfaces x = y*2 and planes…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = 7x², x = = 1, and y = 0,…

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Q: the definite integral that representsthe volume of the solid generated by revolving the plane region…

A:

Q: Find the volume of the solid obtained when the region under the curve y = 21×V 16 – x², 0 s x < 4 is…

A: Consider the curve, y=21x16-x2  ,  0≤x≤4

Q: Use a triple integral to find the volume of the solid in the first octant bounded by the coordinate…

A: To find The volume of the solid in the first octant bounded by the coordinate planes and the plane.

Q: problem in photo attached

A: We will be using cylindrical shells to find the volume of the solid obtained by rotating the region…

Q: Use the disk method to find the volume of the solid generated when the region bounded by y = 8 sinx…

A:

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

A: Given,           The curves y = x², y = 0, x = 1, and x = 2 about the line x = 1The graph is given…

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

A: We know that,

Q: problem in photo attached

A: Given:

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded by y=2x^2-x^3…

A:

Q: Write the triple integral which gives the volume of the region bounded above by the paraboloid z= 30…

A:

Q: Use a double integral to find the volume of the indicated solid. 8 z = 8- x - y 7 4 1 1 4 V 3 y=4 4…

A:

Q: Use the double integral to find the volume of the tetrahedron bounded by the planes r + y + z = 5, x…

A:

Q: Use a double integral to find the volume of the indicated solid. 8 z = 8- X- y 4 21 4. y-4 4. y=x 3.…

A:

Q: Use triple integral to find the volume of the solid bounded by the surface z=root(y) and the planes…

A: Given: x+y=1 x=0 z=0 z=y Formula used: Volume=∫01∫01-x∫0ydz dy dx

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

A:

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

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = x and y x about the line…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = x² , y = 0, and x = 4,…

A:

Q: Find the volume of the solid obtained by rotating the region enclosed by the graphs of y = e-®, y =…

A:

Q: Find the volume V of the solid obtained by rotating the region bounded by the given curves about the…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y 5x-x2 and y-x about the…

A:

Q: What is the volume of the solid generated by revolving the region bounded by y = x², y = 0 and x = 2…

A: Please see the answer below.