2. Bounded by: y=x', x =1, x = 2, and the x-axis 1 3. Bounded by: y = -, x=1, x = 2, and the x-axis.

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: 2. Consider the first quadrant region bounded by y² = x, the x-axis and x = 4. Find the volume when…

A: Disclaimer-Since you have asked multiple questions, we will solve the first question for you.  If…

Q: The region R bounded by y=1/3ln(x), x=e^3, and the x-axis is revolved about the y-axis. Calculated…

A: Given,

Q: Find the volume generated by rotating the region in the first quadrant bounded by y=e^x and the…

A:

Q: The region in the first quadrant bounded by the graph of y=8-x¹2, the x-axis, and the y-axis is…

A: The region in the first quadrant bounded by the graph of y=8-x32, the x‐axis, and the y‐axis is…

Q: 3. Find the volume generated if the function y =/1-x is revolved around the x-axis. (use the only…

A: If y=f(x) is a function, then the independent variable x is called the input of the function and the…

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: Use the Midpoint Rule with n=5 to estimate the volume V obtained by rotating about the y-axis the…

A: Given:  y =f(x) = 2 + 3x3   ; x ∈0,1Creates a solid when rotated about y axis.…

Q: The base if a solid is the region bounded by the graphs of f(x)=x^(2) and g(x)=18-x^(2). Find the…

A:

Q: Find the volume generated by revolving about the x-axis the region bounded by the following graph…

A: Given:- y = 1/√x , x= 1 and x=4 To find:- volume of solid formed by given curves  rotation about x…

Q: 13. Find the volume of the solid generated when the region bounded by the graph of y = cos x and the…

A:

Q: The area bounded by the parabola ay = x², %3D the x-axis, and the line x = b is revolved about the…

A:

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

A:

Q: √√2₁ y = ¹, y-axis, y=1&y=3; OY

A: Volume of solid obtained by revolving region around y axis is evaluated.

Q: The region in the first quadrant bounded by the graph of y-8-³, the x-axis, and the y-axis is…

A:

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

A:

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

A:

Q: find the volume if it exists of the infinite solid of revolution formed when the area above the…

A: find the volume if it exists of the infinite solid of revolution formed when the area above the…

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

A: Value of 'a' may be positive or negative, taking |b| as absolute value of b.

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: A region R is bounded by the curve y = ln x, the x-axis, and the vertical line x = e^2. If R is to…

A: Given curves are y=ln x, y=0 and x=e2 Region is revolving around x-axis. We have to find the volume…

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

A:

Q: 6. Find the volume of a solid whose base is the region bounded by y = 4 – x² and the x-axis and…

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: The region in the first quadrant that is bounded above by the curve y = 1/sqrt(x), on the left by…

A: Given,

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

A: To Determine: Consider the region bounded by the graphs of y = ln x, y = 0, and x = e. Find the…

Q: 30. Find the volume obtained by rotating the region bound by the graph y = e"+e-2#, x = -2, = 3 and…

A: We first sketch the region using a graphing calculator.

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

A: Using shell method, given format is obtained.

Q: Find the volume of solid generated if the area bounded by each of the following curves is revolved…

A: Given Curve are y=x2,y=4,x=0

Q: 1. Obtain the volume of the region rotated to the right of the y-axis and to the left of the curve x…

A:

Q: Suppose a solid has a square based centered on the x-axis, and one of the base's edges follows the…

A: given function is fx=x5 , 0,6find the volume of the solid

Q: Find the volume of the resulting solid if the region under the curve y = 4/(x2 + 5x + 6) from x = 0…

A:

Q: Find the volume of the solid S described as follows. The base of S is the region bounded by 3. the…

A: Given The region bounded by the curve y=x2+2x and by the x-axis. The cross-sections perpendicular to…

Q: The region bounded by the given curves is rotated about the specified axis. Find the volume of the…

A:

Q: Find the volume of solid generated if the area bounded by each of the following curves is revolved…

A:

Q: 38 Find the area of the region bounded by y = sin r,x 0,x = x and the x-axis. If the region is…

A:

Q: The region bounded by the graph of y=Vx+2, the x-axis and the y-axis rotates about the x-axis. Find…

A:

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

A:

Q: please help with b and show all work

A: Consider the curve Further solve by use of partial fraction,

Q: 1. Find the area bounded by the curve y = x^2  and the x-axis and the ordinates x = 0 and x = 2 2.…

A:

Q: 4) The base of a solid is the region between the curve, y (9+ x) = x' (27 – x), 0<x<27, y20 and the…

A:

Q: Find the volume, if possible, of the region bounded by the curves Y= 1/x^2/3, y=0 and x ≥1 revolved…

A:

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

A: This is a problem of the volume of rotation

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: Find the volume of the solid obtained by rotating the region under the graph of the function f(x) =…

A: Volume of the solid by rotating about x axis in the interval [a b] is given below:

Q: 1) The region R in the first quadrant is bounded from above by y=2+- and below the x-axis, between…

A: The required region is as follows:

Q: for the region bounded by y=3x, the x-axis, and x=1, determine which of the following is greater:…

A: Given

Q: The region bounded by the graph of y=Vx+1, the x-axis and the y-axis rotates about the axis. Find…

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

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

A: