b) consider the area between the X-aXis and the curve y= Sin2x for Os X<#/2. when this area is rotated ceround the x-axis -a body 1s generated. calculate volume of the Solid Of revolution.om

Q: Find the volume of the solid obtained by revolving the curve x²=y-3 about x-axis from x=1 to x=3

A: The volume generated by revolving any curve y=f(x) about x-axis  from x=x1 to x=x2 is given by V=…

Q: Find the volume of solid generated by revolving the area bounded by y³=x, y=2 and x=0 about the…

A:

Q: Find the volume of the solid generatedby revolving the region bounded by the x-axis and the curvey =…

A:

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

A:

Q: Find the volume of the solid generated by the area bounded by the curve y = x³,x = 1,x = 2 and y = x…

A: The volume of a region is the integration of the area of the region. It can be calculated using…

Q: The volume of the solid generated by revolving the region bounded by the curve y = sin x, 0<x about…

A:

Q: 22. Find the volume of the solid obtained when the region under the curve y=Vx over the interval…

A:

Q: (1 point) The volume of the solid obtained by rotating the region enclosed by y = a², y = 2x, about…

A: y=x2y=2x about line x=2 for point of intersection x2=2xx2-2x=0x(x-2)=0x=0,2

Q: xy = 4, y = x,y = 1; about the x-axis.

A: Find your answer below

Q: Find the volume of the solid formed by revolving the region bounded by f (x) = 4x – x² and the…

A:

Q: Find the volume of the solid generated by revolving about the x-axis the area bounded by y=v(x),…

A:

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: Find the volume generated by the area bounded by the y- axis, the line y = 1, and the arc of y = sin…

A:

Q: Find the volume of the solid of revolution formed by rotating the area under y=9-x2 over [0, 3]…

A: Given curve is y=9-x2 ,[0,3]

Q: Find the volume of the solid generated by revolving the “triangular” region bounded by the x-axis,…

A: Given information:

Q: Find the volume V of the solid obtained by rotating the region bounded by y = sin(x?) and the x-axis…

A:

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about the…

A: • This is a problem based on the applications of definite integral.  First we have to identify the…

Q: Find the volume of the solid generated by revolving the area bounded by the given curves about…

A:

Q: Find the volume generated by revolving the area enclosed by the curve x^2+y^2=16 about the y-axis.

A: here volume is ∫πy2dx here the limit is if we put y=0 in equation so x range from -4 to 4 so   V=…

Q: find the volume of the solid generated by revolving the shaded region about the given axis.

A: From the given figure, the volume of solid can be obtained as follows. V=π∫0π2y2 dx=π∫0π2sinx cosx2…

Q: Find the volume of the solid formed by revolving the area bounded by the parabola y2 = 9x and the…

A: We want to find the area bounded by the parabola y2 = 9x and the line y = 3x about the y-axis.

Q: 5. Find the volume of the solid generated by revolving about y axis, the area bounded the y=(x²-4)²…

A:

Q: 1- 0.5- x-2 tan 4 2.

A:

Q: The volume of the solid generated by revolving the region bounded by the curve y = cos 2x, 0Sxs4…

A: (π^2)/8  cubic units

Q: To find the volume of the solid generated by revolving the area bounded by the given curve about the…

A: The volume of the solid generated by revolving the area bounded by the curves f(x) and g(x) over the…

Q: Find the volume (in units) of the solid generated by revolving the region bounded by the curve y = 4…

A: Use formula to find volume about x axis.

Q: Find the volume of the solid generatedby revolving the region bounded by the x-axis and the curvey =…

A:

Q: Find the volume of the solid formed by rotating the region bounded by y=sin2(x) and y=sin3(x) from…

A: Consider the given information. y=sin2(x) and y=sin3(x) And, the limit is  x=0 to x=pi. Put the…

Q: Find the surface area obtained by revolving the parabolic arc y2=x from (0, 0) to (9, 3) about the…

A:

Q: Find the volume of the solid that results when the region enclosed by the curves y = cos x and y =…

A:

Q: Find the volume of the solid generated by revolving about the x-axis the area bounded by y=√(x), x=4…

A:

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

A:

Q: Find the volume generated by revolving about Oy the area in the first quadrant bounded by the curve…

A: Plotting the given function :

Q: : Find the volume of the solid generated by revolving the shaded region about the x-axis: y = sinx…

A:

Q: Hence, calculate the volume of the solid bounded above by the surface z = sin(x³) and below by the…

A: Solution:

Q: find the volume of the solid generated by revolving the shaded region about the given axis.

A:

Q: Find the volume of the solid obtained by rotating the region bounded by the curve  y=sin(10x^2)…

A: The volume made by full revolution of area under y=f(x) about y axis between limits x=a and x=b is…

Q: Area bounded by y2 = x and x – y – 2 = 0, revolve about x = -1

A:

Q: Use the trapezoidal rule with 4 subintervals to find an approximation to the volume of the solid…

A:

Q: Find the volume of the solid generated by revolving about the x-axis the area bounded by y = vx, x=…

A:

Q: Find the volume generated by revolving the area enclosed by the curve x² + y = 25 about the y-axis.

A: We have the curve x2+y2=25 rotated about y-axis.

Q: Find the volume of the solid generated by revolving the region enclosed by the graphs of y =…

A:

Q: The area under the curve 4y2 =" (x2 + 1)3 was rotated about a line located to the left of y – axis…

A: The surface area of the solid can be obtained using the Pappus theorem. The surface area is…

Q: THE AREA BETWEEN THE CURVES 2 4y = x² AND Y²³ = 4X 15 REVOLED ABOUT THE LINE X= -1. SOLVE FOR THE…

A:

Q: Area bounded by y2 = x and x – y – 2 = 0, revolve about y = -1

A: Given curves are                                             y2=xx-y-2=0 revolved about…

Q: Find the volume of the solid generated by revolving the unbounded region lying between y = −ln x and…

A: Given that: y=-lnx   and   the   y-axis To sketch the region:

Q: Find the volume of the solid generated by revolving the shaded region about the given axis. About…

A: By using volume of a solid formula, we calculate the required volume.

Q: find the volume of the solid formed by revolving the area bounded by y = sin(x^2), x epsilon…

A: Given that y=sinx2 , 0,π find the volume of the solid obtained by rotating around y axis…

Q: find the volume of the solid formed by revolving the region bounded by y = sinx and the x-axis from…

A: From the volume of solid formed by rotating the given function y

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.