6) consider the area between the X-axis and the curve y= Sin2x for O< Xs#/2. when this area is rotated ceround the x-axis -a body B generated. calculate volume of the Solid Of revolution,

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

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: 8. Find the volume of the solid generated by revolving the region enclosed by y = 2 sinx and y = 0…

A: Use the cylindrical method to determine the volume of the region. Substitute the function and limits…

Q: Compute the surface area of revolution about the x-axis over the interval [0, 1] for y = 4x³.

A:

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: Compute the surface area of revolution of y=sinxy=sin⁡x about the x-axis over the interval [0,7π]

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 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 when the area bounded by the curve y = Vx, the y-axis, and…

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 of the solid generated by revolving the region in the first quadrant bounded by the…

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

Q: The volume of the solid obtained by rotating the region enclosed by 1 y = 0, x = 3, and x = 8, about…

A:

Q: 3: Find the volume of the solid generated by revolving the shaded region about the x-axis: and graph…

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

Q: find the volume of the solid obtained when the region under the curve y=1/(1+5x)^2 from 0 to 1 is…

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: 1) Compute the volume of the solid obtained by revolving around the r-axis by 27 (ie. a full…

A: Note: Since, you have asked multiple question, we will solve the first question for you. If you want…

Q: Evaluate the definite integral that represents the volume of the solid formed by revolving the…

A: Explanation of the answer is as follows

Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 3ky + k² = 0 and…

A: Given curves are:  x2-2kx-3ky+k2=0 3x-3y+k=0 The area bounded by them is revolving about the line…

Q: Set up the integral that represent the volume of the solid obtained by rotating the region bounded…

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: Set up the integral for the surface area of the solid created by revolving y= Vx 1< x <8 about the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

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 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: Find the volume of the solid generated when the area bounded by the curve y = vx, the y-axis, and…

A: Volume is the measure of the amount of space occupied by a closed surface. It is measured in terms…

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 of the solid formed by revolving the region bounded by the graphs of y = tan-1x, x =…

A: The region is shown below:The intersection point of the curve tan-1 x with the line y=pi/4, will be…

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: Show that the volume generated by revolving the area bounded by an arch of the cycloid x = a(0-…

A: We have to show that the volume generated by revolving the area is 5π2a3.

Q: Find the volume of the solid generated when the area bounded by the curve y = square root of x,…

A: Find the volume of the solid generated when the area bounded by the curve y=x, y-axis and the line…

Q: Find the volume of the solid generated by revolving the region bounded by by y = cos 2 y = sin =. x…

A:

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

A: Solution:

Q: 5. Find the area of the surface of revolution generated by revolving .3 y = on interval [0,3] about…

A: Given: The function y=x33on interval 0,3, To find: The area of the surface of revolution generated…

Q: Calculate the volume of the solid generated by the rotation of the region formed by y = arc cos (x),…

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 rotating the region bounded by y = sin²(x) and y = 0…

A:

Q: Find the area of the surface obtained by rotating y = cosh x over [−ln 2, ln 2] around the x-axis.

A:

Q: The volume V of the solid formed by revolving the region bounded by the graphs of y=VE-2, y-0and…

A: Let us first find the volume V of the solid formed by revolving the  region bounded by the graphs of…

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: Find the center of the mass of a thin plate of constant density ô covering the region 3 bounded by…

A:

Q: What is the volume of the solid of revolution generated by rotating the area bounded by y%3D2, y3 3,…

A:

Q: What is the definite integral that calculates the volume of the body of rotation formed by rotating…

A:

Q: Find the volume generated by revolving about the line x - 4 = 0 the area bounded by the curve x2 =…

A:

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…

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.