Instructions :- Write the answer in the paper for this problem, do not write any answer in the given box. Problem : Find the volume of the solid of revolution bounded by the curve y = v5 sin x, and the lines x = 0, x = TT, about the х — ахis. -

Q: Find the area of the surface generated by revolving the curve y = V 121 - x2, – 1 s x < 1 about the…

A: We can find the answer as below.

Q: Evaluate SfF.ds where F = (3xy², 3x²y, z³) and M M is the surface of the sphere of radius 3 centered…

A: We will use divergence theorem to find surface integral of given vector field  If region R bounded…

Q: Q2 : Use the graphing utility to find the area of the region enclosed by the curves y = x - 2x, y =…

A: The main objective of the given question is to find the area of the region enclosed by the…

Q: ABC is rotated around the line x=0 to produce a solid. What describes the shape of the solid?

A: While rotating the triangle around x=0 it becomes a cone

Q: Calculate the volume of a cylinder inclined at an angle 0 = 30° whose height is h = 9 and whose base…

A: Solved below.

Q: The arc of the parabola y =  x sq.  from ( 1,1, )  to ( 2, 4 )  is rotated aboutthe  y -axis. Find…

A: Given:The arc of the parabola y=x2 is rotated about the y-axis from 1,1 to 2,4. We have to find the…

Q: For an area A in the x-y plane, in the expression I₂ = Ix+ly, the term /₂ is the: Minimum…

A: Introduction : As per definition, The polar amount of inertia is the total sum of the moment of…

Q: Evaluate ff. xyz ds, over that part of a sphere of two units radius and centre at the origin Which…

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Q: 2y-3a) and the x-axis 2. Find the area enclosed by r = a cos 30 II YOLUMES OF REVOLUTION

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Q: Determine the moment of inertia of the area bound by the two curves about the x and y axis. y y = x?…

A:

Q: True or False The surface area of a sphere of radius r is 4/3 πr

A: Surface area of a sphere of radius of radius r is 43πr.

Q: Find the exact area of the surface obtained by rotating the curre around the x - as is 1 16-x1 g= +…

A: Given that , y=6-x , 4≤x≤6 find the area of the surface obtained by rotating the curve around the…

Q: Consider the initial value problem y = 3 – y, y (0) = 1. (a) Use Euler's method with five steps to…

A:

Q: Solve the given differential equation by undetermined coefficients. y" + 4y' + 3y = 6 y(x) = =

A:

Q: Sticky Chins' Ice Cream shop uses an ice cream cone that with a maximum radius of 1 inch and a…

A:

Q: 4. Find an equation of the tangent plane to the surface x = u? + 1, y = v + 1, z = u + v at the…

A:

Q: 39.) Show how to find the surface area of f(x,y) = xy that lies over the unit circle.

A: A detailed solution is given below.

Q: Find the centroid of the quarter of the unit circle lying in the third quadrant. ICM усм

A: The equation of the circle is x2+y2=1 The radius of the unit circle is 1 unit.