the area bounded by the parabola ay= x², the x-axis, and the line x= b is revolved about the x-axis. Find the volume generated.

Q: A/ Find the volume generated by revolving the area bounded by x = y-1 and y =5 around the x-axis?

A: We will find out the volume of solid of revolution by shell method.

Q: Find the volume obtained by rotating the bounded region defined by y = Vx y = 0 , and x = 4 around…

A:

Q: For the area bounded by y2=4x and y=x, find the volume generated if it is revolved about the x-axis

A:

Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y = x (0, 0) (1, 1) y=x² R

A:

Q: Find the volume generated by the area bounded by the parabola x=√ay , and the line y=b that is…

A:

Q: Find the volume of the region under the surface z = xy? and above the area bounded by x = y? and x +…

A: Solution: The objective is to find the volume of the region

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

A:

Q: Find the volume under the plane x+ y-z=0 and above the region enclosed by the parabolas y =x² and x=…

A:

Q: what is the volume generated if the area bounded by the cirves x2 =8y , x=4 and y= 0 is resolved…

A:

Q: Find the volume generated by the area bounded by the parabola x = Vay , and the line y = b that is…

A: As per our guidelines, we are suppose to answer only one question. kindly repost the question as the…

Q: p3y 8–x²-y² dzdxdy 0.

A: We solve triple integration using ordinary method

Q: The area bounded by y = x² and y = 2 – x² is revolved about the x-axis. Find the volume of the solid…

A: We have to find volume of solid revolution.

Q: Find the volume generated if the area between y = coshx and x from x = 0 to x = 1 is resolved about…

A:

Q: . THe area enclased by the loop of the curved y= x (x - 3)° is Find the volume generated . revolved…

A: Here 1st we will find points where loop is formed and then shade the region bounded ,  To form the…

Q: The area in the second quadrant of the circle x2 + y2= 2 is revolved about the line y + 1 = 0. What…

A: This problem belong to circle and line section from geometry and we solve this using the second…

Q: Find the volume swept out by revolving the region bounded by the y-axis and the graph of x = t (1 -…

A: Given,

Q: The area enclosed by the curve x² + y² = 25 is revolved about the line x - 10 = 0. Find the volume…

A: We have to find the volume generated, in cu. units when the area enclosed by the curve x² + y² = 25…

Q: For the area bounded by y2=4x and y=x, find the volume generated if it is revolved about the line…

A:

Q: Find the volume generated by rotating the region bounded by y = x, x = 1, and y? = 4x, about the…

A: Given curves are y=x, x=1   and  y2=4x We have to calculate the volume generated by these curves…

Q: Calculate the volume of the object formed by rotating the following shaded area around x axis, where…

A: Formula Used:- Volume V=∫abA(x) dxwhere A(x)=π(radius)2 And radius=f(x) To find:- Volume of the…

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 4x + 8y = 8,…

A: We need to find volume.

Q: Find the volume generated by rotating the area bounded by y = ,* = 2, x = 7, and y = 0 about the y…

A: The solid obtained by rotating the region between the grah of fx and the x-axis from x=a to x=b…

Q: The region bounded by the graphs of x = 0, x = VIn y, and x = V2 - In y in the first quadrant is…

A: The region bounded by the graphs x=0, x=ln y and x=2-lny in the first quadrant.we have to find…

Q: Let A be the area in the first quadrant bounded by the y-axis, the line y=5 x, and the line y=2…

A: Suppose a region is enclosed by two curves, y=fx and y=gx. To calculate the volume of the region…

Q: The area bounded by the parabola ay=x², the x-axis, and the line x=b is revolved about the y-axis.…

A:

Q: Find the volume (in cubic units) of the region bounded by the curves (y – 1)° = x – 1 ,and the lines…

A:

Q: Find the volume generated by revolving about the x-axis, the area bounded by the line 2x + 4y = 4,…

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

Q: Find the volume obtained by rotating f(x) = x(1 – x) around the x-axis.

A: Given             f(x)=x(1-x) and y=0

Q: Let A be the area in the first quadrant bounded by the y-axis, the x-axis, and the line y=−2 x+3.…

A:

Q: The area bounded by the parabola ay = x², the x-axis, and the line x = b is revolved about the…

A:

Q: The area bounded by the parabola ay = x2, the x-axis, and the line x = b is revolved about the…

A: We can use disk and washer's method to solve this question.

Q: 1. Find the volume generated by revolving the first quadrant area bounded by the parabola y? 8x and…

A: Proceed as shown ....

Q: find the volume (in units 3) generated when the region between the curves is rotated around the…

A:

Q: Find the volume generated when the area bounded by the two curves of x^2 = 4y and y^2 = 4x is…

A: We will find out volume of solid of revolution.

Q: Given the area of the first quadrant bounded by x² = 8y, the line x = 4, and the x-axis. What is the…

A:

Q: Find the volume of the region under the surface z = xy? and above the area bounded by a = y? and æ +…

A:

Q: The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the x-axis. Find the…

A: Given problem:- The area bounded by y = x3 + 2x + 1, x = 1 and x = 3 is to be revolved about the…

Q: Compute the ”volume” of the 4-dimensional unit ball, which is the area enclosed by the equation x^2…

A: The equation of four dimensional unit ball is x2+y2+z2+w2=1 Volume of ball is equal to…

Q: 3. Find the volume generated by revolving the area bounded by the parabola y² = 8x and its latus…

A: Note:- As per our guidelines, we can answer the first part of this problem as exactly one is not…

Q: From this graph, Find the volume around the X-axis (Use π = 3.14). y=x (0, 0) (1, 1) y=x² R

A:

Q: Find the surface area of the volume generated when the following curves revolve around the given…

A:

Q: Find the volume generated if the area bounded by the curve x? = y – 2 is revolved about the x- axis.

A:

Q: Determine the volume generated by revolving the region in the first quadrant bounded by the curves…

A:

Q: Find the volume generated by revolving the area bounded by   xy=4, x=1, x=4 and the x-axis about the…

A:

Q: Given the area in the first quadrant bounded by x^2 = 8y, the line y - 2 = 0 and the y-axis. What is…

A:

Q: Find the volume generated by revolving about the y-axis the area bounded by the curves y = x² + 4…

A:

Q: Find the volume of the region that lies below the parabola y2 = x and above the x-axis the interval…

A: Given curves is y2=x

Q: Given the area in the first quadrant bounded by x²=8y, the line y-2=0 and the y-axis, what is the…

A:

Q: Use the best method available to find the volume of the region bounded by y=e^x-1, y=2-x and the…

A: Question has two sub parts. Each of them is quite lengthy. I have run out of steps that can be added…

Q: The area bounded by the curve a²y = x², the x-axis, and the line x = a revolves about 0x. Find the…

A: