The volume of the solid obtained by rotating the region bounded by y=(x^2), y=3x  about the line y=9 can be computed using cylindrical shells via an integral  V=∫_______________dy (with lower limit of alpha and upper limit of beta) with limits of integration alpha=0 and beta=9  P.S. I have already asked this question but the given answer of  V=∫(2pi)(y-9)(sqrt(y)-(y/3)) is incorrect.

Q: 2. Sketch the region Renclosed by the triangle with vertices (1, 0), (2,1) and (1,1) and find the…

A: 2) given points 1,0 , 2,1 , 1,1 find the volume of the solid generated by revolving R about the…

Q: The volume of the solid obtained by rotating the region bounded by y = x², y = 5x, about the line x…

A: Consider the provided question, The graph of the given curve rotating about the line x = 5 is shown…

Q: The volume of the solid obtained by rotating the region enclosed by y = x², x = 2, x= 3, y=0 about…

A: We have to find the volume of the solid.

Q: the first quadrant bounded by the graphs of y = V16 – x², y = 0, andx = 0 is revolved about (a) the…

A:

Q: The region bounded by y = x² – 3x + 2 and y = 0 is rotated about the y-axis. Find the volume of the…

A: The given curves are,

Q: The volume of the solid obtained by rotating the region bounded by 2y', y = 1, x = 0, about the…

A: Given

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: The volume of the solid generated by revolving the region bounded by the graphs of the equations…

A: y=x2, y=0, x=2  about  y‐axisvolume=π ∫dc  x22-x21. dy     x=y  ,      x=2

Q: For some regions, both the washer and shell methods work well for the solid generated by revolving…

A: Given lines are 2y=x+4,y=x and x=0. The objective is to compute the volume of the solid generated by…

Q: 2. Sketch the region Renclosed by the triangle with vertices (1, 0), (2, 1) and (1,1) and find the…

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…

Q: 4. Consider the region bounded by y=x² and y=xe the first quadrant.. What is the volume of the solid…

A: The region is bounded by the parabola y=x2 and the line y=x in the first quadrant. Draw the graph…

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: The volume of the solid obtained by rotating the region bounded by y = x², y = 5x, about the line x…

A: Consider the given function and graph:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: The solution is given below in the next step:

Q: The volume of the solid obtained by rotating the region bounded by y = x, y = 5x, about the line x =…

A:

Q: To find the volume of the solid obtained by rotating the region enclosed by the curves y = 17 x-6…

A:

Q: The volume of the solid obtained by rotating the region enclosed by y = 1/x", y = 0, x = 2, x = 5…

A: Let's find.

Q: The region bounded by y = x² + x – 2 and y = 0 is rotated about the x-axis. Find the volume of the…

A: Given query is to find volume of the solid generated.

Q: The volume of the solid obtained by rotating the region bounded by y = x², = 2x, about the line x =…

A:

Q: The region between the curve y = - csc'x and the line y= - from x= 1 to x = /2 is revolved about the…

A: The given curves are: y=-csc-1x        and       y=-π2    from x=1  to  x=2

Q: For some regions, both the washer and shell methods work well for the solid generated by revolving…

A: Given: y=x y=x2 Solve the equation y=x and y=x2 for y. y=y2y2-y=0y(y-1)=0y=0,1 Rewrite the…

Q: In the given question , find the volume of the solid generated by revolving the region bounded by…

A: Given : y= sinx, x=0, y=0 , x=1 Now we graph it and see

Q: In the given question , find the volume of the solid generated by revolving the region bounded by…

A:

Q: se the a.) shell method (around the x-axis) AND b.)disk method (around x and y-axis) to set up the…

A: Given curve is y=x-22

Q: 3. Consider the region bounded by y=x² and y=x in the first quadrant. What is the volume of the…

A: The region is bounded by the graphs of y=x2 and y=x in the first quadrant. Set up an integration…

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A: Sketch the region . Use washer/ring method to find volume of solid.

Q: volume of the solid obtained by rotating the region bounded by y=x^2, y=3x about the line x = 3…

A: In this question, the concept of the volume of revolution about the line is applied. Given,…

Q: The volume of the solid obtained by rotating the region bounded by y = x?, y = 4x, about the line a…

A:

Q: The region bounded by X = 1 – y and X = 0 is rotated about the line X = 2. Find the volume of the…

A: To calculate the volume bounded by the given curves

Q: 1. Find the area of the region bounded from the right by the curve x = 4- y2, from the left by the…

A:

Q: for the volume below...if Cylindrical Shell method was used...What are the limits of integration? *…

A:

Q: 2. Sketch the region Renclosed by the triangle with vertices (1,0), (2, 1) and (1,1) and find the…

A: We plot the graph with the help of Given Vertices. After find the Equation of the line and find the…

Q: The region bounded by y 2 + sin x, y = 0, x = 0 and 2T is revolved about the y- axis. Find the…

A: Here, to find the volume of the solid bounded by the curves  y=2+sin x, y=0, x=0 & x=2π is…

Q: 1. When the shaded region below is rotated about the x-axis the resulting solid is a circular cone…

A: Given data: *The radius of the cone is r=2 m. *The height of the cone is h=3m. The shaded region is…

Q: The volume of the solid obtained by rotating the region bounded by y = a?, 6x, about the line x = 6…

A: We rotate the shaded region around x=6 lineExpress the given functions as function of y.

Q: problem in photo attached

A: The given curves are x = 1­– y4 and x = 0.Compute the region bounded by the given curves as follows.

Q: 5. Consider the region bounded by y=x² and y=x in the first quadrant. What is the volume of the…

A: Given is the region bounded by y=x2 and y=x in the first quadrant. The objective is to set up the…

Q: The region bounded by y = x – 3x +2 and y = 0 is rotated about the y-axis. Find the volume of the…

A:

Q: The volume of the solid obtained by rotating the region bounded by x = 3y, y = 1, x = 0, about the…

A:

Q: Use the method of cylindrical shells to set up the integral that gives the volume of the solid…

A: The volume of the solid obtained by rotating about the y-axis the region under the curve y = f(x)…

Q: 1. Use Cylindrical Shell Method to find the volume of the solid generated by revolving the region…

A: According to our guideline we can answer only first question and rest can be repost.

Q: The region is bounded by x = 6-y and x² 6x + y = 0. Find the integral in finding the volume of the…

A:

Q: The volume of the solid obtained by rotating the region bounded by x = 4y°, y = 1, x = 0, about the…

A:

Q: To find the volume of the solid obtained by rotating the region enclosed by the curves y=x²-36 x and…

A:

Q: 2. Find the volume of the solid generated when the region bounded by the graph of y = Vx + 1 and the…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the graphs of the…

A:

Q: for the volume below..if Cylindrical Shell method was used ...What are the limits of ?integration…

A:

Q: Find the volume of the solid generated by revolving the region bounded by the given line and curve…

A: The given curve is,

Q: The volume of the solid obtained by rotating the region bounded by y = x?, y = 6x, about the line x…

A:

Q: The volume of the solid obtained by rotating the region bounded by y = 2, y = 2x, about the line = 2…

A: