8. a) Find the area of the region bounded by y = In a, y = 0, and a = e. 8. b) Find the volume of the solid generated by revolving the region bounded by y = sin x and y = 0 from = 0 to x = T about the x-axis.

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

A:

Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A:

Q: Find the volume of the solid generated by revolving about the line y =-1 the region above the X-axis…

A: Here, for x = -1 to x = 0,  Area is bounded by  the curves 2y = x + 3  and  y2 = - x

Q: b) The area bound by the curve y = 2x + 1 and the y-axis is rotated about the y axis between y = 2…

A: We need to calculate the volume.

Q: Find the volume of the solid generated when the region enclosed between y = cos x and y = 0for 0 ≤ x…

A: The volume of the solid generated when the region enclosed between y = cos x and y = 0 for 0 ≤ x ≤…

Q: b) Find the volume of the solid obtained by rotating the region bounded by the curve y = -x² + 11…

A:

Q: 2. Find the volume of the solid formed by revolving the region bounded by the graphs of x = -y² +…

A: Here we have given a solid region bounded byx=-y2+4y,y=1and x=0. So bounded solid region will be…

Q: Find the volume of the solid generated by rotating the region bounded by the curves y = e^x and y =…

A: In the question we have to find the volume of region bounded by the given curves.

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

A: Consider the triangular region bounded by the lines  y=2xy=0x=1 To find: the volume of the solid…

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = cos( -2 <y <0…

A: Topic = Volume

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

A: Here,  we need to find the volume of the solid of revolution generated by revolving the region…

Q: Set up the equation in solving volume of the solid generated when the area bounded by x = Vy, x =…

A: The solid is generated by x=y, x=0 and y=3 around y-axis

Q: 3. Find the volume of the solid generated by revolving the area bounded by the curve y = x' and the…

A: Topic:- application of integration

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: 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: (#4) Find the volume of the solid bounded by y = 2x, y = 0, and x = 4 rotating on the x-axis:

A: Given a solid is bounded by the curves y=2x , y=0 and x=4 rotating on the x- axis.

Q: 5. Find the volume of the solid generated by revolving the area bounded by the curve y = 4x - x2 and…

A: We are asked to find volume of the solid

Q: Find the volume of the solid formed by y = 4 sin(x) bounded by x = 0 revolved about the x axis on…

A: We have to find the volume of the solid formed by y=4sinx bounded by x=0 revolved about the x axis…

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 the region bounded by y = cos x, y = sin x, x…

A: According to the company policy, we will answer only the first question. Please resubmit the second…

Q: 5. Find the volume of solid generated by revolving the region bounded by the x-axis and one arc of Y…

A:

Q: 3. Find the volume of the solid formed by revolving the region formed by the curve y = secx about…

A: Explanation of the answer is as follows

Q: Find the volume of the solid generated by revolving the region bounded by the curve y = In x, the…

A:

Q: 21/ Find the volume of the solid generated by revolving the regic bounded by y = \cos x , y = 0 &…

A:

Q: Find the volume of the solid generated by rotating the region bounded by the curves y = e and y =…

A: We need to find the volume of the solid generated by rotating the region bounded by the curves y=ex…

Q: 3. Find the volume of the solid of revolution formed by revolving the region bounded by y = x - x³…

A: To find out the volume of revolution.

Q: 10- Find the volume of the solid generated by revolving the region bounded from the left by the…

A: Solution is given below:

Q: (4) Find the volume of the solid obtained by rotating the region bounded by y y=√x about the y = 1.…

A:

Q: 1/6 Find the volume of the solid obtained by rotating the region bounded by and リー2) about the line…

A: Now , we will find the  volume of the solid  obtained by rotating the region bounded by the given…

Q: 1. Find the volume of the solid obtained by rotating the area in the first quadrant bounded by y = T…

A: Given that y=x2, x=0, y=2-xaround the line x=1find the volume

Q: Let a> 1 be a constant and let R be the region bounded by y = 10x² and y = 10x + 20 . Find the…

A:

Q: 2. Find the volume of solid generated by revolving te area enclosed by: x=y2+1, x=0, y=0 and y=2…

A: The area enclosed by x=y2+1, x=0, y=0 and y=0 The shaded portion is the required region

Q: 5. Find the volume of the solid of revolution formes by rotating the finite region bounded by curves…

A:

Q: 8. Find the volume of the solid generated by revolving the region bounded by the curve y = 4 – x²…

A:

Q: 4. Find the volume of the solid generated by revolving the region bounded by the curves y = 2-x² and…

A: Given problem:- Find the volume of the solid generated by revolving the region bounded by the curves…

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

A:

Q: 23. Find the volume of the solid formed by the region in the first quadrant bounded by: x = y - y, x…

A: *to find:- Volume of revolution of solid.

Q: Find the volume of the solid obtained by rotating about the x-axis the region under the curve y=…

A:

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about…

A:

Q: 2. Find the volume of the solid generated by revolving the area bounded by the given curve x + y =…

A: Given: x+y=6, y=3, x=0 for finding the volume, first we draw region bounded by given curve as below

Q: Find the volume of the solid generated by revolving the specified region about the given line. R…

A: we have been given the curves y=x and y=x5 we have to generate the volume by revolving the curve…

Q: Calculate the volume of the infinite solid obtained by rotating the region under y = (x2 + 1) −2 for…

A: Use shell method and find the volume.

Q: 3) Find the volume of the solid that is generated by revolving the region bounded by y= sin z cosz…

A:

Q: 4.Find the volume of solid generated by revolving the regions bounded by the curve y = |cos(÷)y, -2…

A:

Q: Find the volume of the solid generated when the region between the graphs of the equation y-1=x and…

A: Volume of the solid generated by the curves  f(x)=y=x+1 and g(x)=y=x , 0≤x≤1 is given by the formula…

Q: 2. Find the volume of the solid generated by revolving the region bounded by the y = ³, y= 0 and x =…

A: Find the volume of the solid generated by revolving the region bounded by the y=x3, y=0 and x=1…

Q: Find the volume (in cubic units) of the region bounded by the curves y = sin x ,and y = cos x and…

A:

Q: 1. Find the volume of the solid formed by revolving the region bounded by the graph of y = 3x + sin°…

A:

Q: 5. Find the volume of the solid obtained by rotating the region bounded by y = x³,y = 0, x = 1 about…

A:

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

A: