16. The solid within the spherex² + y² + z² = 9, outside the cone z = Vx2 + y², and above the xy-plane. %3D

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: 3. Find the volume of the object cut from the cone z = Vx² + y² by the plane z = 1.

A: The volume of a solid can be obtained by considering a small volume element and integrating within…

Q: Compute the area of surface generated by revolving the four-cusped of hypocycloid x⅔+ y⅔ =a⅔ about…

A:

Q: 11. The solid whose base is the region bounded by the semicircle y = V1 - x² and the x-axis, and…

A:

Q: Evaluate ze dV, where E is the portion of the ball centered at the origin of radius 5, x + y+< 25…

A: Given Where E is portion of the ball centered at origin, radius 5 and lies in first octant. In…

Q: 10. The part of the paraboloid x = y² + z² that lies inside the cylinder y² + z² = 9

A:

Q: Find the volume of the solid within the cylinder x2 + y2 = 4 that is bounded below by the xy-plane…

A:

Q: Find the Volume cutoff from the cylinder x2 +y2 = 9 by the planes z = 0 and z = 5.

A:

Q: Find the area of the portion of the cylindrical surface y = 4 – x² in the first octant that is…

A: Find your answer below below

Q: 1. Find the surface area of the solid obtained by revolving the triangular region with vertices…

A: We will find the surface area  of the solid obtained by revolution as following.

Q: Find the surface area cut from the cone 2x2 + 2y2 = 5z2, z &gt; 0, by the cylinder x2 + y2 = 2y

A: To find the surface area cut from the cone 2x2 + 2y2 = 5z2, z &gt; 0, by the cylinder x2 + y2 = 2y

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y2 - x2 + 2 and above…

A: Given:z=3y2-x2+2 above the rectangle R=-1,1×1,5Formula:V=∬R z dx dy

Q: 1. Find the volume of the solid bounded by the cylinder æ² + y² = 4, the plane z = 0, and the plane…

A:

Q: Find the volume of the solid that lies under the hyperbolic paraboloid z = 3y² - x2 + 2 and above…

A: The volume of the solid that lies under hyperbolic paraboloid is:

Q: 25. Find the volume of the solid that is enclosed by the cone z = /x² + y² and the sphere x² + y² +…

A:

Q: 2. The solid outside the cylinder x² + y² = 1 that is bounded above by the sphere x² + y? + x? = 8…

A: The solution is given below

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: 18. The volume of the solid that lies between the paraboloid z = 2x² + 2y² and the plane z = 6

A:

Q: Q6: Determine the mass of the solid that bounded by the paraboloid z = 8- (y +x²) and the planes…

A: Given,        z=9,  z=8-(y2+x2)  and          density(ρ)=κ (constant) where                κ=2 kg/m3

Q: Q6: Determine the mass of the solid that bounded by the paraboloid z = 8 - (y2 + x2) and the planes…

A: Given,             z=8-(y2+x2) ,      z=9and         density = 2kg/m3

Q: 5. Find the surface area of the portion of the surface z = 2x + y? that is above the triangular…

A:

Q: 3. Find the volume of the solid that lies between the paraboloid z = x² + y² and the sphere x2 + y²…

A:

Q: Find the area of the portion of the cylindrical surface y = 4 - x2 in the first octant that is…

A:

Q: Find the area of the part of the cylinder y2 + z2 = 4 in the first octant, cut out by the planes x =…

A: Given. We are given a cylinder in the first octant.. y²+z² = 4 We need to find the volume of the…

Q: 6. What is an equation for the largest ball centred at (0,0, 1) that can fit in the paraboloid z…

A:

Q: 2. Find the area of the part of the surface z = cylinder x2 + y² = 9. 3xy that lies within the

A:

Q: Find the volume of a right circular cylinder of radius a = 4.00 with a paraboloid of revolution…

A:

Q: the voulme of the region are  bounded by the paraboloid x= y^2+z^2 and the half cone x=…

A: The volume of the region bounded by the paraboloid x= y2+z2 and the half cone x= 8y2+z2

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

A:

Q: 8. Evaluate ze+y´+z² dV, where E is the portion of the ball centered at E the origin of radius 5, x?…

A:

Q: 3. Find the volume of a solid enclosed by the parabolic cylinder y = x², the planes z = 0 and y +z =…

A:

Q: 3. Find the volume under the paraboloid 3z = 2.12 + 2y2, above the triangle enclosed by the lines y…

A: First we have to draw graph and find limit according to which we have taken strip along y . Find…

Q: Find the volume of the solid that lies within the sphere x² + y + z² = 81, above the xy plane, and…

A:

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: 3. Find the centroid of the region bounded by the parabola y? = 4x, the y-axis, and the line y = 4.

A:

Q: area of the portion of the cylindrical surface y = 4 − x2 in the first octant that is between the…

A: Given: The cylindrical surface is, y=4-x2 ........(1) And the xy-plane is, x2+2x+y-z =4

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

A:

Q: 8. Find the volume between the cone z = Vx² + y² and the plane z = 10+ x above the disk x2 + y² < 1.

A:

Q: 2. Find the centroid of the region bounded by the parabola y=x² and the line y=4.

A:

Q: 7. Calculate the area of the portion of the sphere x +y +z2 = 49 between z= 2 and z=V2. 2 %3D OA.…

A: Surface area of the surface given by z=f(x,y)  A=∫∫D1+fx2+fy2dA where  D is projection of surface on…

Q: 8. Show that the volume of the region bonded by the cone z = Vx² + y² and the paraboloid z = x? + y²…

A:

Q: 2. Calculate the volume of the solid that is bounded by the surface x²+y²-4y%3D0, inferiorly by the…

A:

Q: 15. The solid enclosed by the sphere x2+ y2 + z2 = 4a? and the planes z = 0 and z = a. %3D

A: Given: x2+y2+z2=4a2          ... (1) z=0z=a

Q: Find the valume of the Solid bounded by the para boloid そ- 28-x2 152the cylinder x2+y?= 24 and xy-…

A:

Q: 6. Find the mass of the lamina that is the portion of the paraboloid z = x2 + y2 that lies below the…

A: The equation of paraboloid portion is z=x2+y2. The equation of plane below which lamina lies is z=2

Q: Find the area of the part of the sphere x2 + y2 + z2 = a2 that lies inside the cylinder x2 + y2 =…

A: answer is A = a2(π -2) detailed solution with explanation is given below

Q: 4 8. What is the volume of the solid generated when the region bounded by y= V4 +3x – x and y = 2 is…

A:

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: Find the volume.

A:

Q: 2. Find the volume of the wedge cut from the 1-st octant in R³ by the surface z = 4-1 - y.

A:

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.