2. Find the volume of the solid generated by revolving about the line x = -2 the region bounded by the curves y = 8x – 2x2 and y = 4x – x2. %3D

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

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: 5. Find the volume of the solid obtained by rotating about the x - axis of the region bounded by y =…

A: We have to compute the volume of the solid generated by revolving the region bounded by the curve…

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: 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. (a) Find the volume of the solid generated when the region enclosed by y = -. 6-x2 and y = 0 is…

A: Given the solid generated when the region enclosed by  y=−6−x225  and  y=0   is revolved around the…

Q: 6. Evaluate the volume generated by revolving the area bounded by the given curves using the washer…

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Q: 1/ Draw the functions , 2/ Find the volume of the solid generated by revolving region bounded by…

A: the given question is taken from calculus in which we have to find the volume of solid generated by…

Q: The region enclosed between the curve y²= kx and the line x = ¼k is revolved about the line x = ½k.…

A:

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

A:

Q: The region between the graph f(x) = Vx and the x-axis for x E [0,4] is revolved about the line y =…

A:

Q: 3. Find the volume of the solid generated by revolving the curve y = 5Vx between x = 0 and x = 4…

A: We can solve it by cylindrical method.

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: 2. Find the volume oF solid obt ained by revolving the region bounded by the about the x- axis the…

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Q: Consider the region bounded by the graphs of y = ln x, y = 0, and x = e. c. Find the volume of the…

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Q: 2. Sketch the graph and shade the region enclosed by the curves y = x² and x axis from x=0 x=2. Find…

A: Given region enclosed by - y = x2 x =0 x =2

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

A:

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) Find the volume formed by rotating the region enclosed by: x = 3y and y³ = x with y ≥ 0 about the…

A: answer is in next step . please give a like!!!

Q: 1. Find the volume of the solid generated when the region bounded by y = ex, x = 0, x = 2 and the…

A: Note: As per our guidelines we are instructed to solve only one problem. Hope you understand.    The…

Q: 2. Find the volume of the solid generated by rotating the region bounded by the curves y = Vx y = x…

A:

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A:

Q: Rotate the region specified above by the curve y = x and beneath by the curve y = x2 from x = 5 to x…

A: Explained below

Q: 16. Find the volume of the solid generated by revolving the region bounded by the curve y = x – x²…

A: To find the volume of the solid generated by revolving the region bounded by the curve y=x-x2 and…

Q: 1. Find the volume of the solid generated by revolving the region in the first quadrant bounded by…

A:

Q: The region R bounded by y=x^(1/2) +2 and y=x2+2 in the first quadrant is revolved about the line…

A: The given equations are

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 by revolving about the line x = 3 the region in y = 2x2 –…

A:

Q: 4) Find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

A: We find the volume of a solid generated by revolving about the x- axis the region bounded by y = x2…

Q: 3. Find the volume of the solid that results when the region enclosed by the curves x = = y² and x =…

A: If the region bounded by x=f(y) and x=g(y) on [ a, b], where f(y)≥g(y)is rotated about the y‐axis,…

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

A:

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: 3. Find the volume of the solid generated by revolving about the line x = -4 the region bounded by…

A: Solution...

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: Find the volume of the solid generated by revolving the region bounded by the line x – 2y + 10 = 0,…

A:

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

A:

Q: 2. Consider the region bounded by the y-axis, y = 3x+ 1, and r 4. Find the volume of the solid…

A: Given function are y=3x+1x=4y axisAxis of rotation y=-5

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: Consider the region bounded by the graphs of y = x√(16 − x2) , y = 0, x = 0, and x = 4. Find the…

A: Shell method: The volume of a solid generated by the region on [a, b] revolved about y axis is,…

Q: Consider the region on the 1st quadrant bounded by y = √4x²,x and y- axes. If the region is revolved…

A:

Q: 6. Find the volume of the solid formed by revolving the region bounded by the graphs of y = x2, x =…

A:

Q: For the region bounded by the curves y = x2 + 1 and y = 3 – x², find the following: 1. The area of…

A:

Q: 29. Look for the volume of the solid produced by rotating the region enclosed by the graph f(x) = 2…

A: For given curves washer method can not be used. Answer with disk method

Q: 18. Find the volume of the solid obtained by revolving the region under the graph of y = 5- on [1,…

A: To find the volume of the solid obtained by revolving the region under the below graph on [1, ∞)…

Q: Consider the region bounded by the graph of y2 = (4-x)^2/(1+x)^2 on the interval [0, 1]. Find the…

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Q: 9. Find the volume of the solid generated by revolving the region bounded by the lines and curves y…

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Q: 15. Find the volume of the solid obtained by rotating the region bounded by xy = 4 and y = (x – 3)…

A: Given :  xy=4  and  y=x-32. Therefore, x-32=4x⇒xx2-6x+9=4⇒x3-6x2+9x-4=0⇒x-12x-4=0Therefore, x=1 ,…

Q: 6) Use the washer method to find the volume of the solid generated by revolving the region y = x² +1…

A: We first sketch the region using a graphing calculator. From the graph, we see that x is from 0 to…

Q: 4. Find the volume of the solid generated by revolving the region in the first quadrant bounded…

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