Find the volume of the solid obtained by rotating the region bounded by x y2-6y + 10 and x = 5 about the y-axis using the disk method 53 63 O 73 O 2 n 63

Q: "ind the volume of the solid obtained by rotating the region = 2y – y², x = 0,

A: x=2y-y2  x=0

Q: The volume of the solid generated by revolving the region bounded by x+ 2y =2, y=0, and x=0, about…

A: I use shell method to find volume about x axis

Q: Find the volume of the solid obtained by rotating the region A in the figure about y = -1. b 0 A y =…

A: Given: The equation of curve is y=x2+b and b=5, a=4. To Find: The volume when the region A is…

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A: Given a region bounded by y=x3,  y=8 and x=0.

Q: Consider the region R between y = x² + 7, x = 0, x = 2, and y = 0. Use the Shell Method or Disk…

A:

Q: The volume of the solid generated by revolving the region bounded by x+ 2y =2, y=0, and x-0, about…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = e", y = 0 , x = 1, 0…

A: The volume of the solid generated by revolving the area bounded by the curve y=f(x) , x-axis and the…

Q: The solid of revolution is obtained by rotating the region bounded by y = x² – 2x and y = x about…

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: The volume of the solid under the surface z = 4(x² + y²) and above the region a2 + y2 0, y 20, is…

A:

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: We need to find volume.

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

A: Given that the region bounded by the given curves about the x axis is       x = -3y2 + 12y - 9 ,…

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A:

Q: Find the volume of the solid generated bounded by x = /y - 2, x y? – 4y + 4, rotated about the x-…

A: Washer Method : If f(x) and g(x) are two continuous non-negative function on a,b and f(x)≥g(x) on…

Q: What is the volume of the solid of revolution 832 15 obtained by rotating the region bounded by 512T…

A: Given: The region bounded by the curves, y=1 and y=5-x2 around the x-axis.

Q: Find the volume of the solid obtained by rotating the region bounded by I = 4y², y = 1, z = 0, about…

A:

Q: Consider the solid obtained by rotating the region bounded y = c=², y = 1, x = 5 Find the volume V…

A: Here we have to find the volume of the solid obtained by rotating the region bounded by the given…

Q: Find the volume of the solid formed by revolving the region bounded by the curves z O and z 3y + 12y…

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Q: A solid is in the first octant lies inside the hemisphere z = V4 – x2 – y?, outside the cone z = Vx2…

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

A:

Q: Find the volume of the solid generated bounded by x = Jy – 4, x = y? – 8y+ 16, rotated about the Y -…

A: Washer Method :  If the function f(x) and g(x) be two continuous function and non-negative a,b and…

Q: 20. Find the volume of the solid generated by rotating the region bounded by y = V9- x2, y = 0 about…

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Q: 27T 5. = y² and x + y = 2 is revolved about y = 1. (Answer: c. u.)

A: Solution is given below:

Q: 65. Find the volume of the solid formed by revolving the region bounded by the graphs of y = 3-x²…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y= 2 andy = = 2x about the…

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Q: The volume of the solid revolution resulting from revolving the region bounded by y = x, and y = 0…

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Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: Given:     f(x) = x2+2       Interval : 0≤ x ≤ 5       Rotated about x = 5

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: The equation of the plane is given11x+y+z=4⇒z=4-y-11xAlso the tetrahedron is enclosed by the…

Q: Find the volume of the solid obtained by rotating the region A in the figure below about the line y…

A: Consider the given curves, y = x2 + 2 and y = -9. Find y when x = 3. y = 32 + 2 y = 11 The point of…

Q: Find the volume of the solid generated by revolving the region R bounded by the graphs of the given…

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Q: Find the volume of the solid bounded by z = -y, r=3cos(e) and the xy-plane. 0 8 3/8 3/7 56 14

A: Given, z=-y and r=3cosθ Volume V=∫∫Dz…

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

A: Given: Area bounded by y=x, y=2x, x=3 To Determine: Volume of the solid generated by rotating about…

Q: D Evaluate the volume of the solid region E, in the first octant, that lies above z0 and below the…

A: Explanation of the answer is as follows

Q: Find the volume of the solid generated if the region bounded by y 2x and y = x - 2x is revolved…

A: We have to find the volume of the solid generated. Region bounded by y=2x2 and y=x4-2x2  about y…

Q: Find the volume of the solid in the first octant bounded by the cylinders x² + y? 16 , y² + 22 16.…

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Q: Use the method of disks/rings to determine the volume of the solid obtained by rotating the region…

A: On sketching the region , integrate using ring method where variable y from 1 to 5.

Q: Use the washer method to solve the integral that gives the volume of the solid formed by rotating…

A: The two curves are  y=1  &  y=3-x22

Q: Compute the volume of the solid obtained by rotating the region bounded by y = x?, y = 8 – x², and…

A:

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A:

Q: Find the volume of the solid obtained by rotating the region bounded by y = x3, y=8, and X=0 about x…

A:

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

A: Given query is to find the volume of solid generated.

Q: Use the Shell Method to compute the volume of the solids obtained by rotating the region enclosed by…

A:

Q: Find the volume of the solid formed by revolving the region bounded by the curves a = 0 and a = -3y?…

A:

Q: Let S be the solid obtained by rotating the region shown in the figure below about the y-axis. y y =…

A: Given:    f(x) = 7x(x-2)2

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: Integration within specific limits of the variable is known as definite integration. The integration…

Q: Find the volume of the solid generated bounded by x = Vy-2, x = y? - 4y + 4, rotated about the x-…

A:

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: The given plane is 7x+y+z=4The given region is tetrahedron enclosed by by coordinate…

Q: Find the volume of the solid generated bounded by x = Jy – 1, x = y? – 2y + 1, rotated about the x-…

A:

Q: Use a triple integral to find the volume of the given solid. The tetrahedron enclosed by the…

A: To find the volume using a triple integral, we need to determine the bounds of integration…

Q: Sketch the region between y = In(x), x = 2, x = 1, and y = 0. As well, use the cylindrical shells…

A: The given data is: y=lnxx=2x=1y=0  T0 find the volume of the solid.

Q: Use the Shell Method to find the volume of the solid obtained by rotating region under the graph of…

A: Introduction: A solid of revolution is a solid figure created by rotating a plane curve around 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.