3. Let R be the region in the first quadrant that is enclosed by the graph of f (x)= In(x+1), the x-axis and the line r-e. What is the volume of the solid generated when R is rotated about the lino y =-1? (a) 5.037 (b) 6.545 (c) 10.073 (d) 20.146 (e) 28.686

Q: (9) Find the volume when the region bounded by the curves y= e, x=-1, x=1, and the x-axis is rotated…

A: Given y=ex2, x=-1, x=1 and the x-axis is rotated about the y-axis.

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y =x² , x= 2, and y = 0…

A: In this question we have to find the volume of the region bounded by y=14x2, x=2 and y=0 about…

Q: 1) Find the volume of the solid cut from the first octant by the surface z=4-x2-y.

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

Q: 9. Find the volume of the solid whose base is the region enclosed by y = 2 –- x² and the x-axis and…

A:

Q: Q- What is the volume of the solid obtained by rotating the region bounded by the graphs of y = Vx,…

A: When a closed curve revolved around a particular axis, it generates a closed surface. Volume is the…

Q: Soru 2 2-Find the volume of the solid obtained by rotating 50113 the region bounded by y=vx, y=3 and…

A: To find the volume of solid obtained when the region bounded

Q: Q- What is the volume of the solid obtained by rotating the region bounded by the graphs of y = Vx,…

A: The volume area to be revolved can be visualized from the following graph. The red curve represents…

Q: 8. Find the volume of the solid obtained by rotating the region R enclosed by y = x² and y = 2 - x²…

A:

Q: Q6. Calculate the volume of the solid obtained by rotating the region bounded by y = x ² – 4x + 5, x…

A: To calculate the volume of solid obtained by rotating the region bounded by the following curves:…

Q: 1. Sketch the graphs of v = 2x - x2 and y = - x. Shade the region bounded by the curves, Find the…

A: Given, The sketch graph of; Y = 2x - x² Y = - x The volume of the solid that is formed by revolving…

Q: The region in the first quadrant that is enclosed by the x-axis, the curve y = 5/(xsqrt(5 - x)), and…

A:

Q: Find the volume of the resulting solid if the region under the curve y = 9/(x2 + 3x + 2) from x = 0…

A:

Q: Q.5 Find the volume of the solid whose base is the region enclosed between the curve x=1-y and the…

A:

Q: 36. What is the area of the region bounded by the graph of y = 3x - 4, the y-axis, the lines y = 1…

A: See the details solution in below

Q: 4. Find the volume of the solid obtained by rotating about the y-axis the region bounded by y = 2x2…

A:

Q: (b) Find the volume of the solid obtained by rotating the region bounded by the curve y=x²+x-2, y =…

A: Given is : The curves y=x2+x-2, y=0 The rotation is about the x-axis. We need to find the volume of…

Q: 6. Find the volume of the solid formed by rotating the region enclosed by y=e2x+5, y=0, x=0, x=0.6…

A:

Q: (a) sketch the region enclosed by the curves, (b) describe the cross section perpendicularto the…

A: a) We sketch the region using a graphing calculator Red is y=16-x Blue is y=3x+12 Green is x=-1 The…

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x - 3y - 2…

A: Given: y=√(x-2) , x-3y-2=0

Q: Look for the volume of the solid produced by rotating the region enclosed by about x? - 2kx – 4ky +…

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line…

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: Q2 ) Determine the volume of the solid obtained by rotating the portion of the region bounded by Va…

A:

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: Find the volume of the resulting solid if the region under the curve y = 9/(x2 + 5x + 6) from x = 0…

A: Given that  y=9/(x^2+5x+6) To determine the volume about x axis and y axis

Q: Find the volume of the resulting solid if the region under the curve y 9/(x2 + 3x + 2) from = 0 to x…

A: I am solving only part a for the part b post the question again:

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x + 4 and x - 2y + 4…

A: Given problem:- Calculate the volume of solid of revolution when the region bounded by y = √(x + 4)…

Q: Find the volume of the solid of revolution generated by revolving the region in the first quadrant…

A:

Q: 1. Determine the volume of the solid obtained by rotating the region bounded by the curves y = x? -…

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: 5: Find the volume of the solid which is generated by rotating the region bounded by y=√x, y=x-2 and…

A:

Q: Find the volume of the solid of revolution generated by revolving the region in the first quadrant…

A:

Q: 2) ( ) Sketch and find the exact volume of the solid obtained by rotating the region B bounded by…

A:

Q: 54. Look for the volume of the solid produced by rotating the region enclosed by 1792# T y - x² =…

A:

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x - 2 and x - 3y - 2…

A: Since you have posted multiple questions i can do first question in image as per our company…

Q: 3. Find the volume of the solid generated by rotating the region bounded by the graph of y = 2x – x2…

A: Given: y=2x-x2 and x axis about  y -axis

Q: What is the volume of the solid generated when the region in the first quadrant bounded by the graph…

A:

Q: 19. Find the volume of the solid that results when the region enclosed by = 2y, y = 2, y = 3 and x =…

A:

Q: Q3: Find the volume of the solid generated by revelving the region bounded by the curves: y = secx,…

A:

Q: (b) The region bounded by the curve y = x² + 1 and the line y = 3 – r is revolved about the r-axis…

A: As per your query the solution of the problem (b) has been provided below.

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: 26: Find the volume of the solid when the area contained by x = Jy and y - 6 = x is revolved about…

A: The volume of solid of revolution can be calculated using the formula Volume=∫abπ |fx2-gx2|dx. Here,…

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

A: Using disc method, volume is evaluated.

Q: 46. Find the volume of the solid produced by rotating the region enclosed line y = -1 that is…

A:

Q: 8. Find the volume of the solid that results when the area of the region enclosed by y = 2x2, x = 2,…

A:

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √x + 4 and x - 2y +…

A:

Q: (b) Determine the volume of the solid that results when the region enclosed [2] by the curves y = x²…

A: Solution:Given   y=x2+2   and y=4-x2and th line y=3To determine the volume of the…

Q: Find the volume of the resulting solid if the region under the curve y = 6/(x² + 3x + 2) from x = 0…

A: By using disk method we solve the given problem as follows :

Q: What is the volume of the solid formed when the region bounded by the curve y =√16x², x = -3 and x -…

A: Given curve is y=16-x2, x=-3, x=3 is rotated about the x axis. find the volume of the solid Formula:…

Q: P2: Calculate the volume of solid of revolution when the region bounded by y = √√x + 4 and x - 2y +…

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

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.