4. Obtain the volume of the solid that occur when the small side of the circle x +y =2 and the curved y' = x´ is rotated around the x-axis.

Q: The graph of the volume for solid revolution between the curves y = x+1 and y = O around the x -…

A: Plot the lines and determine the area bounded by these lines. Use the area and the rotation about…

Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2…

A: We need to calculate the volume.

Q: 28 The region in the first quadrant bounded by y rotate about the line x = 4x2 , 3x + y = 7, and the…

A: It is given that, the first quadrant bounded by y=4x2,3x+y=7 and the y-axis is rotate about x=-4.…

Q: 2. Determine the volume of the solid obtained by rotating the region bounded by y = 4x and y = x³…

A: The volume of revolution of the area bounded by the curves y1=f1(x) and y2=f2(x)  between the limits…

Q: 4. Find the volume generated by revolving the area cut off from the parabola y = 4x - x² by the x…

A:

Q: (#3) Find the volume of the solid generated by f(x) =x° and f(x) = 4x-x° rotating about the y-axis:

A:

Q: Consider the region bounded to the right by the graph of x=sin(5y)+10y, to the left by the y-axis,…

A: Solution: The region bounded by left x=0

Q: 5. Find the volume of the solid in the first octant bounded by the two cylinders x²+y²=4 and…

A: I am attaching image so that you understand each and every step.

Q: 16. Find the volume of the solid generated by revolving the region enclosed by y = 3sinx and y = 0…

A:

Q: 3. Find the volume of the solid of revolution when the region below y = x + 1 and between x = 0 and…

A: 3 We have to find the volume of the solid of revolution when the region below y=x+1 and between x=0…

Q: 14. Find the volume of the solid region generated by revolving the region bounded by y = 1-x² and y…

A: Here given, y=1-x2 and y=0, Then 1-x2=0⇒x2=1⇒x=±1

Q: 3: Find the volume of the solid generated by revolving the shaded region about the x-axis: and graph…

A: If y=f(x) is a function, then the independent variable x is called the input of the function, and…

Q: Find the center of the mass of a thin plate of constant density & covering the region bounded by the…

A:

Q: 1) Calculate the volume of the solid created by rotating the region bounded by y = x² +1 y = -x + 3…

A:

Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = sec about the…

A:

Q: (#4) Find the volume of the solid bounded by y = 2x, y = 0, and x = 4 rotating on the x-axis:

A: Given a solid is bounded by the curves y=2x , y=0 and x=4 rotating on the x- axis.

Q: 8) Consider the curve y ³ = 3x from (0, 0) to (8/3, 2). What integral finds the surface area of the…

A: Given,            The curve y3 = 3x from 0, 0 to 83, 2.

Q: 1) Compute the volume of the solid obtained by revolving around the r-axis by 27 (ie. a full…

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

Q: Determine the surface area generated by revolving the arc 3y= 4x from x=0 to x=3 about the x-axis.

A: To find- Determine the surface area generated by revolving the arc 3y = 4x from x=0 to x=3 about the…

Q: 6) consider the area between the X-axis and the curve y= Sin2x for O< Xs#/2. when this area is…

A:

Q: 3. Find the volume of the solid formed by y = √√4sin(x) bounded by x = 0 revolved about the x axis…

A: According to the question we need to find out the volume of revolution of the curve.

Q: Find the volume of the solid formed by revolving the curve defined by 9x²+4y²=36 about the line…

A: Given, The volume for solid revolution between the curves and around the on interval [0,1] The…

Q: 2. Find the surface area when y = 2\x with 1 < x < 3 is rotated around the x axis.

A:

Q: Find the surface area obtained by revolving the parabolic arc y2=x from (0, 0) to (9, 3) about the…

A:

Q: 2. Find the volume of the solid generated when the region between y = sin x and y = 0 for 0 ≤ x ≤ π…

A: The region between y=sin x and y=0 for 0≤x≤π is revolved about the y-axis.

Q: 4. Find the volume of the solid formed by rotating the region under the graph of f(x) = 1 on [0, 3]…

A: Volume of a solid generated by rotating the graph of a function can be determined using the method…

Q: 5. Find the volume of solid generated by revolving the region bounded by the x-axis and one arc of Y…

A:

Q: The region in the first quadrant that is bounded above by the curvey = 1/x1/4, on the left by the…

A: Given: The region in the first quadrant that is bounded above by the curvey=1x14 on the left by the…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9 – x² and y = 2x + 6 is…

A:

Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A: Explanation of the answer is as follows

Q: 1. Find the volume of the solid of revolution generated by revolving the region bounded by y = x?…

A: Given problem:-  Find the volume of the solid of revolution generated by revolving the region…

Q: 1. Find the volume of the solid generated when the region bounded by y = 9-x2 and y = 2x + 6 is…

A: Given:       y=9-x2      y=2x+6 The volume for solid of revolution between curves is the volume of…

Q: Find the volume of the body resulting from the rotation of the given region by the following…

A:

Q: 4. Determine the surface area of the solid obtained by rotating y = v9 – x2, -2 < x<2 about the x -…

A:

Q: 1. a. Find the area of the region bounded by the curves y = x2 – 6x + 13, y = lnx, x = 1 and x = 5.…

A: Refer to the figure shown below:

Q: 2. Find the volume of the solid generated by revolving the shaded region about the given ах x+ 2y -…

A: I use cylindrical shell method for both Questions

Q: 5. Find the area of the surface of revolution generated by revolving .3 y = on interval [0,3] about…

A: Given: The function y=x33on interval 0,3, To find: The area of the surface of revolution generated…

Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³…

A: To find out the volume of revolution.

Q: 1/6 Find the volume of the solid obtained by rotating the region bounded by and リー2) about the line…

A: Now , we will find the  volume of the solid  obtained by rotating the region bounded by the given…

Q: 1. Use your preferred method to calculate the volume of the solid obtained by revolving the region…

A:

Q: Between the parabola y = -x² + 4x – 3 and the line y = x – 3 Find the volume of the solid formed by…

A:

Q: 3) Find the volume of the solid created by revolving y = x2 around the x-axis from x = 0 to x = 1

A: Given the given curves are y=x2x=0x=1 Method Use disc method to find the volume of revolution of the…

Q: Find a curve such that when the portion of the curve from x = a to x = b is rotated around the…

A: Let the curve be y=fx.  The curve is rotated around X-axis from x=a to x=b.  The surface area of…

Q: 2. The area bound by the curve y = ezr, the y – axis and the line y = 4 is rotated about the line y…

A:

Q: Find the center of the mass of a thin plate of constant density 6 covering the region bounded by the…

A:

Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

A:

Q: 4. Find the volume of the solid generated by revolving the region bounded by the curves y = 2-x² and…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

Q: 3. Use differentials to approximate the volume of a spherical shell whose inner radius is 5 cm and…

A:

Q: 1. Find the volume of the solid that results when the shaded region is revolved about the X - AXIS.…

A:

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = e-9x.

A: Given: y=e-9x and 0, 1 To find the surface of revolution about the x-axis on 0, 1 The formula for…

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.