Find Volume under 3x +y?, abɔve the Yegion り=X, x=y"-y

Q: Find the volume of the 'cover' that is bounded by 52 < x2 + y2 + z² < 7² and the upper cone z² = 4x2…

A: Given 52≤x2+y2+z2≤72 ,z2=4x2+4y2

Q: Find the volume of the region bounded by: 1+x2 - V3 %3= that is rotated about the x-axis.

A: Volume of the solid that is obtained by rotating around the x-axis limited by f(x) and g(x) where…

Q: Find the volume generated by revolving the area bounded by the curve y = (1-x²)² and the x-axis…

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Q: What is the volume of a solid object formed by rotating the region between f (x) =6x² + 3 and g (x)…

A: Let the region bounded by the curves fx=6x2+3 and gx=4x2-3 be R.  R is rotated about the line y=-3…

Q: Find the volume bounded by: x² + y² + z = 16 and z-x² - y² = 8

A: Concept: If a solid S is bounded by a surface, as in rectangular coordinates,  z=f(r,θ) as well as…

Q: Compute the volume cut out of x2 + y2 + z2 = 64 by the cylinder x2 + y2 = 64.

A:

Q: Find the volume of the region that is between x = 8 – z2 – y? and x = -V4y² + 4z²

A: b)the region bounded by surface x=8-y2-z2andx=-4y2+4z2inside the disky2+z2=4

Q: What is the volume obtained by rotating the region bounded by x = (y - 3)½ and y = 2x2 + 1 around…

A: Here we use basic definition of volume .

Q: 6. What is the volume generated when the area in the first quadrant bounded by the curve x? = 8y,…

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Q: The volume generated by revolving the area bounded by the curve y = x² and y = 4 around the line y =…

A: We can use the formula π∫abR(x)2dx to evaluate the volume.

Q: calculate the volume of the 1st octant under the plan 2x + y + z = 10

A: answer

Q: Find the volume of the solid whose base is bounded by the circle x2 + y2 = 16 and whose cross…

A:

Q: Evaluate the volume of the surface of the shaped recreated by revolving the line y = 1/x as x goes…

A: Solution is written in below steps.

Q: Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.

A: Consider the given surface  z=4-x2-y The domain is restricted by the first quadrant x≥0,  y≥0 The…

Q: Find the volume of a right circular cone with height 18 and base radius 9 using integration.

A: Take a cross-section area of thickness dx at a distance x from top, integrate it from 0 to 18.

Q: Find the volume in the first octant between z=9-x^2-y^2 and the cylinder x^2+y^2=1.

A: The given surfaces can be plotted as follows: Thus, the required solid will be R=x, y, z: 0≤x≤1,…

Q: Derive the formula for the volume of a sphere by revolving about the x-axis, the region bounded by…

A: We have to derive the formula for the volume of a sphere by revolving about the x-axis, he region…

Q: Compute the volume of the solid obtaihed by revoluing the the interval -11,11 . graph at the…

A: We need to find the volume of the solid obtained by revolving the graph of the given function in the…

Q: Find the volume of the solid formed by rotating the area between the square with a side length of 2…

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Q: Find the volume generated by revolving the area bounded by y = x3 – x2 , x-axis, about y-axis by…

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Q: Find the volume if an arch of y=sin⁡2x (bounded by the x-axis) is revolved about the x-axis

A: Volume of revolving  of y = f(x) about X-axis  Vol =∫abπ(f(x))2dx

Q: Find the volume generated by revolving the area bounded by the lines x+ y= 5, x = 0 and y = 0, about…

A: Since you have asked multiple questions, we will do the first question for you. To get the solution…

Q: Find the surface area of the closed circular cylinder of greatest volume that can be inscribed in a…

A: solution:

Q: Find the volume generated by revolving the area bounded by the lines x+y = 5, x = 0 and y = 0, about…

A: Find the volume generated by revolving the area bounded by the lines x+y=5, x=0, y=0, about the…

Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 7x5 on the…

A: Given function,

Q: What is the volume obtained by revolving the are biunded between the lines y=x, y=2x and x=4   about…

A:

Q: The area bounded by the curve y^2 = 12x and the line x = 3 is revolved about the line x =3. What is…

A: Recall: Formula for volume,    V=π∫ab(radius)2dy Given,  y2=12x Substitute x=3 in the above…

Q: Find the volume generated by revolving the area enclosed by the curve x2 + y2 = 25 about the line y…

A: Explained below

Q: Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

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Q: Find the volume of a solid extending from y = 2 to y = 5 if every cross section has area A(y) = 5.

A:

Q: What is the volume in the first octant bounded by x2 = 16 − y and z + y= 16

A:

Q: Determine the integral that represents volume bounded by z--1, z- 2, y - 0 and y- + 2

A: Given x=-1,x=2,y=0,y=12x2+2

Q: Use cylinder shell method to graph and find volume: y=sqrt(x), y=0, x=1, about x=-1

A: If a region is bounded by a curve y=fx and x-axis on the interval a,b and it is rotating about a…

Q: What is the volume generated when the area bounded by y=2x2+1; x=1; x=2 is revolved about the line…

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Q: Find the volume generated by revolving about the line 0x the area bounded by the curve 1 (포2 - 1)…

A:

Q: Determine the volume generated when the area bounded by the curves y-sinx and y%3cosx from x-0 to…

A: Aim: We need to find the volume of the solid obtained by revolving the bounded region (light yellow)…

Q: find the volume of the sdid goneraded by revohing the '+2 aud y= -x*+h region bounded by y= x…

A:

Q: Find the volume of the region formed by revolving the region bounded by y=sqrt x, y=0, and x=4 about…

A: First, we sketch the region using a graphing calculator  The shaded region is rotating about the…

Q: 1) z = 2 – x² – 2y², z = 1

A:

Q: Sketch the solid whose volume is given by the integral in the paper.

A: Given :                 The function is z = 1 - x - y            The region D is enclosed by the…

Q: find the volume “V” obtained by revolutionizing the region between y=x2  and y=12-x around the axis…

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Q: Which integral should be used to calculate the volume of the solid cube with side lengths all 1?

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Q: Find the volume of the solid generated by revolving about the line y = 0 the area bounded by x + y =…

A: We know that if the area bounded by the curve y=f(x) , the line x=a and x=b and X axis , is rotated…

Q: . The area bounded by the curve y = 3 – 2x + x² and the line y = 3 is revolved about the line x = 5.…

A: The volume of the solid of the revolution can be calculated using the shell method. The formula to…

Q: find the volume generated by revolving the area bounded by y = x^2 - 2x + 3 and y = 3 about the line…

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Q: ) Find the surface area of the closed circular cylinder of greatest volume that can 5.(Total. be…

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Q: Compute the volume of the solid obtained by revolving the graph of the function f(x) = 8x³ on the…

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.