4. Find the volume of the solid generated by revolving abou the y-axis the region in x = 4y – y' and x = 4 - y

Q: 3. Find the volume of the solid generated by revolving about the line x 3 the region in y = 2x - 2…

A: To find : volume from the revolution.

Q: Find the volume of the solid generated by revolving about the line y =-1 the region above the X-axis…

A: Here, for x = -1 to x = 0,  Area is bounded by  the curves 2y = x + 3  and  y2 = - x

Q: (1) Find the volume of the solid obtained by revolving about the y-axis the region bounded by y =…

A:

Q: 64. The area bounded by the curve y = 3 + 2x – x² and the line y = 3 is rotated completely about the…

A: Consider the given information: The area bounded by curves y=3+2x-x2 and the line y=3. To find the…

Q: Find the volume of the solid obtained by rotating about the y-axis the region bounded byy = x² and…

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

Q: Consider the region enclosed by the curves y = 1 +1 and y = 2x+ 1: 6- -5- The volume of the solid…

A: Finding the volume of solid revolution revolving around x=3

Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by the graphs…

A:

Q: 8. Find the volume of the solid generated by revolving the region enclosed by y = 2 sinx and y = 0…

A: Use the cylindrical method to determine the volume of the region. Substitute the function and limits…

Q: 2. Find the volume of the solid generated by revolving about the line y= -3 the region bounded by…

A: Formula: The volume for solid revolution between the curves y=f(x) and y=g(x) rotated around y=c on…

Q: 8 Use the method of cylinders to determine the volume of the solid obtained by rotating the region…

A:

Q: 4. The region bounded by the curve y = x² + 1 and the line y = -x + 3 is revolved about the x-axis…

A: We have to find the volume of solid.

Q: 3) Calculate the volume of a solid obtained by rotating the region bounded by: (Any method) y = x-x²…

A: To calculate the volume of the solid obtained by rotating the region bounded by below equations…

Q: Find the volume V of the solid obtained by revolving about the line y = - 4 the region between the…

A: Obtain the volume with the help of Washers method.

Q: 12. Find the volume of the solid that results when the region bound by x 1-y and the y-axis is…

A:

Q: 5. Find the volume of the solid generated by revolving the region bounded by y = e-x², the x-axis,…

A: The given equation is y=e-x2. Find the volume of the solid rotated about the y-axis.

Q: 5. Find the volume of the solid generated by revolving about y axis, the area bounded the y=(x²-4)²…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the curves 3π y = sin x +…

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

Q: A solid of revolution is formed by revolving about the x - axis the region bounded by the curve y =…

A: Topic = Volume

Q: 4. Find the volume of the solid obtained by rotating the region bounded by the given curves about…

A: Given that y=ln x, y=1, y=2, x=0 find the volume about y-axis V=π∫12x2 dy

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: 13. Find the volume of the solid that results when the region bound by x = V5 y2 and the y-axis from…

A:

Q: 4. Find the volume of the solid form by the region bounded by the curves x = y2,x Jy, is revolved…

A:

Q: Calculate the volume of solid of revolution when the region bounded by y = sin 2x and x² - y2 = 0 is…

A:

Q: 4. Determine the volume of the solid obtained by rotating the region bounded by y = x² - 4x + 5, x…

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 2- Find the volume of the solid generated by revolving the region bounded by parabola y = x² , below…

A:

Q: 1) Find the volume of the solid generated by revolving the region bounded by the curve y=In(x²+5)…

A:

Q: 2. Find the volume of the solid generated by revolving about the line x = -2 the region bounded by…

A:

Q: 4) Find the volume of the solid generated by revolving the region around the y-axis y = Vx – 1 x…

A: Let us use disc method to find the volume. After revolving about the y-axis, the solid generated is…

Q: 3. Find the volume of the solid generated by revolving about the line x = 3 the region in y = 2x2 –…

A:

Q: 3) Find the volume of the solid generated by revolving the region bounded by y = cos x, y = sin x, x…

A: According to the company policy, we will answer only the first question. Please resubmit the second…

Q: A solid of revolution is formed by revolving about the x- axis the region bounded by the curve y √2x…

A:

Q: Find the volume of the solid generated by revolving the region bounded by by y = cos 2 y = sin =. x…

A:

Q: 23. The region bounded by the curve 4y = x, the line x = 4 and the line y = 1, is rotated through…

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

Q: 10- Find the volume of the solid generated by revolving the region bounded from the left by the…

A: Solution is given below:

Q: 2) Find the volume of the solid obtained by rotating region bounded by the given curves about the…

A:

Q: Let R be the region bounded by the graph of y = 5Vx+3, the a-axis, the y-axis, and the line x = 4.…

A:

Q: 9. Determine the volume of the solid obtained by rotating the region bounded by y = x - 6x+9 and y…

A:

Q: 3. The line y = x + 2 and the parabola y = x contain a bounded region R between them. Find the…

A: Given, the line y=x+2 and y=x2

Q: 3. Find the volume of the solid generated when the region bounded by x 2y2, y-axis, the lines y = 3…

A: Sketching the region

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 about the y-axis the region in x = 4y – y?…

A:

Q: 3. Find the volume of a solid of revolution generated by revolving the region under the line 2x +1…

A: Volume of solid = integration of πf(x)^2 dx from x1 to x2

Q: 8. Find the volume of the solid obtained by revolving the region bounded by the graphs of y =-x cos…

A:

Q: 3. Determine the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: 2. Find the volume of the solid generated by revolving about the line x = -2 the region bounded by…

A:

Q: 3. Find the volume of the solid generated when the region bounded by x = 2y2, y-axis, the lines y =…

A: Let's find.

Q: 2. Find the volume of the solid generated by revolving about the line x = -2 the region bounded by…

A:

Q: 5. Find the volume of the solid generated by revolving about the x-axis the region bounded by the…

A:

Q: 4. Calculate the volume of the solid of revolution obtained by revolving the region bounded by the…

A:

Q: 2. Find the volume of the solid form by the region bounded by the curves y = 16 – x, y = 3x + 12,…

A: Volume of solid is 686.96