The integral that represent the volume of the solid obtained by rotating the region bounded by y = V2x , y = 8 and the y-axis about the y-axis is V = I dy and the volume is

Q: Find the volume of the solid that results when the region bounded by the given curves when it is…

A:

Q: Find the volume of the solid obtained by rotating about the x- axis oF the region bounded by y= x ,…

A:

Q: The region bounded by the curves y = 2x and y = x2 is revolved about the x-axis. Give an integral…

A: The general formula is                  V=     ∫abπ(f(x))2  dx-∫abπ(g(x))2  dx  where  f ( x )  is a…

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

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

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: Find the volume OF the solid obtained by rotating about the y- axis the region bounded by Y= x2 and…

A:

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: Given data: The given equation of the line is y=-x+6. The given limits of x are [a, b]=[0, 6]. The…

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A:

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

A:

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

A: Given :          The curves are y = 0 and y = cos(3x)x = π6 and x = 0 and the axis y = -4…

Q: Find the volume of the solid formed by revolving the region bounded by y = x – a° and the x-axis (0…

A: The region bounded by x = f(y) and the y‐axis on [ a, b] is revolved about the y‐axis, then its…

Q: Set up and evaluate the integral that gives the volume of the solid formed by revolving the region…

A: From the given region: Apply the disc method to find the volume about the x-axis. The area of the…

Q: What is the exact volume of a solid that is formed by rotating the ,2 region bounded by g (x) = x² +…

A:

Q: Consider the region in the first quadrant bounded by y = x', the y-axis, and the line y = 1. Set up…

A: Given: Equation of curve is y=x. Region is revolved about the line y=-2 Draw a graph representing…

Q: The region bounded by f(x) = - - l2? + 5x + 6, x = 0, and y = 0 is rotated about the y-axis. Find…

A: The region bounded by f(x) = -x2+5x+6,   x=0, and  y=0  is rotated about the y-axis. So, the volume…

Q: Set up the integral that will give the volume of the solid generated when the region bounded by the…

A: Solved below

Q: Set up the integral that gives the volume of the solid formed by revolving the region bounded in the…

A:

Q: Find the volume of the solid generated when the region bounded by y = x² – x and y = x - y2 is…

A: Introduction: If the area of the ring is A=πOuter radius2-(Inner radius)2, the volume of solid…

Q: Set up the integral that will give the volume of the solid generated when the region bounded by the…

A:

Q: 3) Determine the volume of the solid obtained by revolving the region bounded by 2x + y – 6 = 0, x-…

A: Volume of revolution

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

A: We will find the volume of revolution as following.

Q: Find the volume of the solid generated when the region bounded by y = 9x and y = 36/x is revolved…

A: The given curves fx=36xgx=9x Solving the above equation 36x=9x362x-81x2=0x362-81x=0x=0, 16

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

A:

Q: Set up an integral for the volume of the solid obtained by rotating the region bounded by y =x + 10…

A:

Q: Set up the integral that represent the volume of the solid obtained by rotating the region bounded…

A:

Q: Consider the region bounded by the curves y = √x, x = 4 and the x −axis. 1. Set-up only the…

A:

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

A:

Q: The volume of the solid generated by revolving the region bounded by axis is given by : 2 y = x +…

A:

Q: Find the volume of the solid generated when the region bounded by y = = 0, x(9 – x x = 7, and x = 8…

A: The given curve is,

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

A: Given : The curves y=x2+4x+5  , y = 0.   To determine : The volume of the solid obtained by rotating…

Q: Find a single integral whose value is the volume of the solid obtained by rotating the region…

A:

Q: what is the volume of the solid generated by revolving the region bounded by x=6y-y^2 and x=0 about…

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

Q: Determine the volume of the solid obtained by rotating the region bounded by y=x^2-4x+5,x=4 , and…

A: volume of the solid of revolution about x axis of a curve y=fx, from x = a to x = b is given by…

Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe y-axis…

A:

Q: Find the volume of the solid generated by revolving about the y-axis and the region is bounded by x…

A:

Q: The region bounded above by y=2x and below by y=x2 is revolved about the y-axis to generate a solid.…

A: The cylindrical shell method is method of calculating the volume of solid of revolution when…

Q: Find the volume of the solid obtained when the region bounded by the curves y =−x^2 + 2x + 3, y = 0…

A: Given: The curve is: y=-x2+2x+3 and y=0 Now, the point on x, when y=0 are:…

Q: What is the volume of the solid obtained by revolving about the x-axis the region bounded by y - 2x2…

A: The general formula for the volume of solid is v=∫abπ(upper curve2-lower…

Q: Compute the volume of the solid formed by rotating the region bounded by the given functions about…

A:

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

A:

Q: Find the volume of the solid obtained by rotating the region bounded by x = 3 - y and x = -2y about…

A:

Q: Find the volume of the solid generated when the region bounded by y= 3x and y=6/x is revolved about…

A:

Q: The region bounded by f(x) = - 2x² + 8x + 24, x = 0, and y = 0 is rotated about the y-axis. Find the…

A: Introduction: When the cross-sectional area is perpendicular to the axis of revolution and the axis…

Q: Consider the region in the first quadrant bounded by y = x', the y-axis, and the line y = 1. Set up…

A:

Q: find the volume of the solid obtained by rotating the region enclosed by the graphs aboutthe y-axis…

A:

Q: Find the volume of solid formed when the region bounded by y = x² and y = Vx are revolved about…

A: To find the volume of solid formed when the region bounded by y=x2 and are revolved about x-axis…

Q: Find the volume of the solid that results when the region bounded by y = x and y = x², from x = 0 to…

A:

Q: What is the volume of the solid generated by revolving the region bounded by y = x², y = 0 and x = 2…

A: Please see the answer below.

Q: Set up and evaluate the integral that gives.the volume of the solid formed by revolving the region…

A: