The solid enclosed by the sphere x² +y² +z? = 4a* and the planes z = O and z = a.

Q: Find the volume of the solid that lies under the elliptic paraboloid x2/9 + y2/16 + z = 1 and above…

A: Volume in xy-plane

Q: Compote the volume of a reoion inside the Sphere x" +Y? +z² =4 ond between two sheets of the…

A: We have to find V0, V0 = Volume of sphere - V1-V2And from Symmetry we know that V1 = V2⇒V0 = Volume…

Q: What is the volume of the solid enclosed by the planes z = 3 and x + y − z = −13, and the curves y…

A: Given,  The solid enclosed by the planes z = 3 and x + y − z = −13, and the curves y = x2 and x = y2

Q: Find the surface area of the part of the spherex +y² +z = 16 that lies above the plane z = 2.

A:

Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (6, 2, 0). (x, y, z) (smaller…

A:

Q: 5a. Consider the right square pyramid with a horizontal plane intersecting the pyramid halfway up…

A: The horizontal plane will be parallel to the base of the pyramid.

Q: Find the points on the cone  z2 = x2 + y2  that are closest to the point  (2, 2, 0).   (x, y, z)…

A: Given,

Q: Find the volume of the wedge cut from the first octant by the cylinder x? + y² = 1 and the plane 2x…

A: We have to find the volume of the wedge cut from the first octant by the cylinder x2+y2=1 and the…

Q: The axis of symmetry of the cylinder is parallel to the z-axis. х-ахis. O y-axis.

A:

Q: Find the volume of the pyramid with base in the plane z = -2 and sides formed by the three planes y…

A:

Q: Find the volume of the paraboloid, z = 9 - x² - y², that lies inside the cylinder x² + y² = 4.

A: It is seen that the paraboloid and cylinder both are extended upto negetive infinity of along z…

Q: Find the volume of the solid enclosed by the paraboloids: z = 2x2 + y2 and z = = 27 – x² – 2y2. 5.

A:

Q: The volume of the pyramid formed in the first octant by the plane 6x + 10y + 5z-30 = 0 is: О 45 О зо…

A: We can solve as follows

Q: Find the volume of the solid enclosed by the paraboloids z=9(x2+y2) and z=2−9(x2+y2)

A: By using polar coordinates we will find the volume

Q: Find the volume of the solid enclosed by the paraboloid z = 4 + x2 + (y – 2)2 and the planes z = 1,…

A:

Q: Find the volumes of the solids generated by revolving the triangle with vertices (2,2), (2,7), and…

A: Given data: *The vertices of the triangle is (2,2), (2,7) and (4,7) From the coordinates of the…

Q: Find the volume of the solid that is enclosed by the cone  z = sqrt(x2 + y2) and the sphere  x2 +…

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Q: Find the volume of the pyramid with base in the plane z=−5 and sides formed by the three planes y=0…

A:

Q: A: Determine the mass and center of mass of the solid that bounded by the paraboloid = 9y? + 9x2 and…

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Q: The volume of the tetrahedron enclosed by the coordinate planes and the plane 9x +y +Z = 18 is ?

A: We want to find the volume of the tetrahedron enclosed by the co-ordinate planes, i.e. x=0, y=0, z=0…

Q: The centroid of an obtuse triangle is outside the triangle. true or false?

A: solution ======== The centroid is the concurrent point of the three medians in a triangle. It is the…

Q: vo ume of the solid in the litoctanit bounded by the plan 2x+3u +62=12

A:

Q: Find the points on the cone z2 = x2 + y2 that are closest to the point (8, 2, 0). (x, y, z) =…

A: Here we use partial derivatives to solve this problem.

Q: Find the volume of the solid that is enclosed by the cone z = x² + y² and the sphere x² + y² + z² =…

A: Given: Equation of cone z=x2+y2 Equation of sphere x2+y2+z2=2

Q: Find the volume of the tetrahedron bounded by the four planes x=0,y=0,z=0, and 2x+2y+x=4?

A: The equation of the plane 2x+2y+z=4  can be rewritten in the form  z=4-2x-2y let z=0, 0=4-2x-2y…

Q: Find the volume of the solid enclosed by the paraboloid z = 5 + x2 + (y - 2)2 and the planes z = 1,…

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Q: Find the area of the surface of the part of the plane 3x + 2u + z = 6 that lies in the first octant.

A:

Q: Find the volume of the solid that lies under the elliptic paraboloid x2/9 + y/16 + z = 1 and above…

A:

Q: Find the Largest open rectangle in the plane in which the hypotheses of Existence and uniqueness…

A: Answer

Q: Find the area of the cap cut from the sphere x2 + y2 + z2 = 2 by the cone z = √(x2 + y2).

A: to find the area

Q: Find the volume of the solid bounded by the sphere x² + y² + =? = 6 and the paraboloid := x² +y² .…

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

Q: Find the volume of the solid enclosed by the paraboloids z = 16 (x² + y²) and z = 8 − 16 (x² + y²).

A: We have to find the volume of the solid enclosed by the paraboloids z=16(x2 +y2) and z=8−16(x2 +y2).…

Q: Find the volume of the solid bounded by the ellipic paraboloid z = 2 + 4x² + 2y², the planes a = 3…

A:

Q: What is the minimum amount of unique shapes that could tessellate a plane?

A: Only three unique shape form tessalate

Q: 16. The solid within the spherex² + y² + z² = 9, outside the cone z = Vx2 + y², and above the…

A:

Q: Find the points on the cone z = x + y2 that are closest to the point (8, 2, 0). %3D (x, y, z) =…

A:

Q: Find the volume of the box (parallelepiped) that is determined by u = i + 2j - k, v = -2i + 3k, and…

A: Solution:-  The given vector is  u→=i+2j-kv→=-2i+0j+3kw→=0i+7j-4k

Q: e of the solid by subtracting two volumes, the solid enclosed by the parabolic cylinders y = 1 − x2,…

A: Here we have to find the volume of the solid  by subtracting two volumes, the solid enclosed by the…

Q: Find the volume of the solid enclosed by the paraboloids z = 9 (x² + y) and z = 18 – 9 (x? + y).

A:

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 20 + x² - y? and above…

A: We have given z = 20 + x2 − y2 and R = [−2, 2] × [0, 4]

Q: Find the volume of the solid bounded by the sphere x2+y2+z2=6 and the paraboloid x2+y2=z.

A: Given Data The equation of the sphere is x²+y²+z²=6. The equation of parabola is x²+y²=z.   Let,

Q: Find the area of the surface. The part of the plane z = 4 + 3x + 2y that lies above the rectangle…

A:

Q: Find the surface area of the part of the plane 3x + 3y+ z = 9 that lies above the triangle formed by…

A: In the question we have to find the surface area of the plane.

Q: Find the volume of the solid enclosed by the paraboloid z = 5 + x + (y - 2)2 and the planes z = 1, x…

A:

Q: The part of the sphere x^2+y^2+z^2=4z that lies inside the paraboloid z=x^2+y^2

A:

Q: 13- Find the volume V of tetrahedron bounded by the coordinates planes and the plane z = 6 - 2x + 3y

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the volume of the wedge cut from the cylinder x2+y2=1 by the planes z = -y and z = 0.

A: The Volume of the wedge, where D is the solid and R is the region, is calculated as,

Q: Determine the volume of the solid lying under the elliptic paraboloid z = 6y? – 2x2 + 3 and above…

A: To evaluate the integral

Q: What is the surface of the box formed by the net above

A:

Q: 3) Which type of quadric surface listed in Table 2 below is 4x² + y² + 4z² – 4y – 24z + 36 = 0?

A: