d. Compute the volume of the solid obtained by revolving the graph of on 10, al about the x-axis

Q: Q2A. Find the volume generated by revolving the shaded area shown in the fig below about X-axis TO…

A:

Q: Let B be the solid whose base is the circle x^2+y^2=49 and whose vertical cross sections…

A: Given, Circle- x²+y²=49=7² --------equation 1 The equation is of the form x²+y²=r². Therefore, the…

Q: Question 2 Determine the volume of the solid obtained by rotating the region bounded by y = VT, r =…

A:

Q: Evaluate the volume of the following solid. 1 z =1- x? 1 y =1- x

A:

Q: Based on the figure below, find the volume of the solid generated by revolving area of the region…

A: Follow the procedure given below.

Q: 85. Compute the volume of the solid obtained by rotating the region below the graph of y = e-kl/2…

A:

Q: Evaluate the volume of the following solid.

A: Consider the provided graph,

Q: Find the volume of the given solid region in the first octan

A: Given, the plane                20x+10y+8z=40 and the solid is x=(2, 0, 0), y=(0, 4, 0), and z=(0,…

Q: What values of p have the following property? The area of the region between the curve y = x-p, 1 ≤…

A:

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

A: Given: The region bounded by y=e-3x and y=0 between x=0 and   x=2 is revolved around x axis.

Q: ind the volume of the solid whose base is a circular disk of radius R, centered at the origin and…

A:

Q: 48. c1-x² (1 – x) dy dæ

A: ∫01∫01-x2 1-xdydx The volume below the surface z=g(x,y) and above the region  D is  ∬g(x,y)dA Where…

Q: Given the volume R of the solid bounded by the graphs of z = 9 – y?, x +z = 9, x = 0 and z = 0.

A: The given problem is to find the volume of the solid region bounded by given graphs of surfaces, we…

Q: find the volume of the solid generated when R is revolved about the x-axis

A: Given that R is the region enclosed by the curve y=cosx, y=ex, x=π2 The volume of the solid…

Q: If the region under the graph of y = 3x +4 from a axis, then the volume of the resulting solid is 2…

A:

Q: find the volume of the resulting solid, if the region is revolved 360° about x=-1

A:

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A:

Q: 1- Use the shell method to find the volume of the solids generated by revolving the shaded region…

A:

Q: raph on the image below and find the volume generated by revolving the area bounded by 9x^2 + 4y^2 =…

A: We need to find volume.

Q: Given the region bounded by the graphs of y = x sin x, y = 0, x = 0, and x = π, find :-   The volume…

A: With the help of integration, we can calculate the area under the curve as well as the volume…

Q: e Find the volume generated by revolving the area enclosed by the loop of the curve y² = x (x-3)²…

A: Solution is given below:

Q: ind the volume of the solid generated by revolving the region in the first quadrant bounded by the…

A: Given problem:- Find the volume of the solid generated by revolving the region in the first quadrant…

Q: S[(4-x-2y)dxdy 00

A: We have to evaluate the integral…

Q: 5) Find the volume of the solid obtained by rotating about the X axis the region described in…

A:

Q: Which of the following represents the volume of the solid generated by revolving the region bounded…

A: the line y=x-1and y=(x-1)3 intersect in the points (0,-1),(1,0) and (2,1) the line y=x-1 is below…

Q: 31 Find the volume of the solid generated by rotating the shaded region R through 360° about the…

A:

Q: 3. Find the volume of the given solid. a. Under the paraboloid z = x² +y? and above the region…

A: Given: The solid is under the paraboloid z=x2+y2 and above the region bounded by y=x2 and x=y2.

Q: A solid is constructed between the lines r = a, x = b, the graph of y = f(x) and the x-axis so that…

A: Given figure of solid with circular cross-section is ,

Q: Use the disk method to find the volume of the solid of revolution bounded by the x-axis and the…

A: We first graph the function using a graphing calculator

Q: The volume of the solid generated by revolving 57 from y 3= x= 1 to x = 3 about the x- %D axis is: O…

A: We will found the volume as following.

Q: 7. Find the volume obtained by revolving about 0X the area under the catenary y = (*+ e¯), from z =…

A:

Q: (b) Find the volume of the solid generated when R is rotated about the x-axis.

A:

Q: Find the volume of the solid that lies under the cone z = x² + y² and above the annulus 4 < x² + y?…

A:

Q: D Evaluate the volume of the solid region E, in the first octant, that lies above z0 and below the…

A: Explanation of the answer is as follows

Q: Compute the volume of the solid above the cone o = , and between the spheres p = 1 and p = 3. Hint:…

A: We have to use spherical co ordinate system

Q: 1. (4 -x- 2y) dxdy

A: Consider the given equation: The objective is to find the above integral.

Q: the volume of the solid under the above the circle x² + y² = 16 in t

A:

Q: Find the volume.

A:

Q: (3+In x) Find the volume of the solid when the curve y=- is rotated 360° about the x-axis between x…

A: Using disk method volume is:  V=∫ee3πy2dx     =∫ee3π3+lnx3/2x1/22dx     =π∫ee33+lnx3xdx…

Q: Find the volume of the solid S described as follows.

A: Given: The volume of solid s described as as follows. The base of s is the region bounded by the…

Q: For a right circular cylinder, suppose that r= 6 in and H=7 in. Find the exact: Volume

A: Given Radius (r) = 6 in Height (h)=7 in To find Volume of right circular cylinder

Q: O Find the volume of solid in the first octant bounded by the co- ordinate planes, the planes x-3,…

A: We will find out the required volume of the solid in the first octant.

Q: In the formula y -| A(u)đu used to compute the volume of a solid: a

A: Given,          In the formula V=∫abAudu used to compute the volume of a solid.

Q: Use the method of disks to rotate a circle of radius r around the x axis and prove that a sphere of…

A:

Q: Given the volume R of the solid bounded by the graphs of z = 9 – y?, x + z = 9, x = 0 and z = 0.

A: Volume bounded by region, using triple integral

Q: Find the volume of the solid in the Ist quadrant under the graph of z= f(2, y) = 3- VP+y² and inside…

A:

Q: The volume of the solid generated by revolving the curve x = , about the y-axis between y = 0 and y…

A:

Q: Find the volume of the solid generated by revolving y = from = 1 to a = 3 about the x-axis %3D %3D O…

A:

Q: 6. Compute the volume of the solid that lies above the paraboloid z = r² + y? and below the…

A: Given: z=x2+y2z=x2+y2

Q: Find the volume of the following solid. f(x, y) = e zA y In 4

A: Volume V of the solid isV=∬A∫0e-xdzdydxV=∬A(e-x -0)dydxV=∬Ae-xdydxA is on the xy-planeA=(x,y) |…