Find the volume of the solid obtained by rotating the region bounded by the curve y = 3-² and x-axis about the line y = 3 36 a) கூ v3r 5 72 b) √3π 9 c) ³√3π d) √3π 18 5 3

Q: Consider the region R bounded by the curve of equation y = 2x', the lines x = -1, x= 2, and the…

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Q: Find the area of part of sphere x² + y? + z² = 100 that lies inside x2 + y? = 10x %3D %3D

A: This is a problem of surface integral.

Q: Q1) Sketch the region enclosed by the curves and finds its area y=sin2x y=0, x=, x 4

A: The objective is to find the area of the region enclosed by the curves y=sin2x, y=0, x=π4, x=π2 The…

Q: Find the surface area of that portion of the sphere x² + y² +2²= 8 which lies in the first octant,…

A: The given problem is to find the surface area of portion of the given surfaces. Given portion of…

Q: Find the surface area of that part of the plane 8x + 6y + z = 5 that lies inside the elliptic…

A: Given that the equation of a plane                                         8x+6y+z=5. To find the…

Q: a pluke is composed of hwo semi - cireles, y= = vi- x? and a y> Ju-x?. find the center of mass of…

A: Given the semicircles are  y=1-x2y=4-x2 For the first semicircle, y=1-x2y2=1-x2x2+y2=1 So the radius…

Q: Q1) Find plane area bounded by y = 2,y = 6 – x, and y = 8 - 3x using double %3D

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

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Q: Find the area of ​​the plane x + y + z = 6 in cylinder X² + y² = 4

A: According to the given information, it is required to find the area of the plane in the cylinder.

Q: Find the center of mass of a thin plate of constant density 8 covering the given region. The region…

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Q: Find the area of the region enclosed by y = 5x – x and y = x Refer: Area between Curves O 12/5 O…

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Q: Find the surface area of the portion of the half ball with radius which cuts off by the cylinder x2…

A: Concept: The surface area of the half ball is given by: A=∬1+∂z∂y2+∂z∂x2dA Where ∂z∂y, ∂z∂x is the…

Q: 3. Find the area of the cardioids region shared by ri 7(1- sin 0) and r2 = 7(1+sin 0). A 7(1 Sint) B…

A: The given curves are:  r1=71-sinθr2=71+sinθ To find the intersecting points,…

Q: Compute the area by the method of coordinates of the traverse whose corners have the coordinates…

A: Given Points are A=(200,400) B=(600,-200) C=(300,-350) and D=(-300,-350)

Q: Find the area of the region bounded by y = 5-x2, y 2x+2, y=-x-1, a. in terms of x b. in terms of y y…

A: We will find out the required value.

Q: Find the area bounded by the parabola x=8+2y-y², the y-axis, y=-1, and y=3 A 92/6 s.u. B 92/4 s.u.…

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Q: Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y =…

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Q: 1)Find the area bounded by the given curves: a)y = 6x2 and y = 24   b)y = 3x2 − 12 and y = 0

A: The given function are y=6x2 and y=24. The area bounded by the given curves as shown below:

Q: Find the volume of the solid of revolution generated by the flat region under the curve obtained by…

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