Find the surface area of the part of a sphere having radius 2 centered at origin for 1

Q: The volume in spherical coordinates for the solid that lies within the sphere p = 2 above the…

A: Please refer to the image below

Q: (4) Find the surface area of the cone S a) b) c) d) 7-√√2 5-√3 p(r, 0)=(r cos 0,r sin 0,r) for 0≤0…

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Q: The volume of a solid E is given by 9-1² 9-x²-y² 1.***** 1 dz dy dx -3 JO 0 (a) Sketch each of the…

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Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 <t < 6. (Use…

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Q: A circle with radius 1 centered at (0, ) is tangent to two points of the parabola y = a². What is…

A: We have to find the area of the shaded region.

Q: 1 2 Use polar coordinates to evaluate the area of the region bounded above by the circle x? + y? –…

A: This question is about application of integration

Q: A 1.5-mm layer of paint is applied to one side of the following surfaces. Find the approximate…

A: The given equation of circle is x2 + y2 = 100. This can be written as Thus, the upper portion is

Q: A6] Evaluate the integral J: J over the area of a circle of radius 2, using polar coordinates.

A: We have, J=∫∫Ax2y2dxdy   Equation of circle is, x2+y2=22   In polar coordinates, x=rcosθy=rsinθ Here…

Q: 2. Find the volume of the solid formed by the region inside the sphere x2 + y² + z² = 16 and outside…

A: Here we have to find the solid volume formed by the region inside the sphere x2+y2+z2=16 and outside…

Q: The region bounded by the parabola y=x2 +1 and the line y = x + 3 is revolved about x axis. The…

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Q: Ise polar coordinates to find the volume of the given solid. Below the cone z = Vx2 + y2 and above…

A: To find volume by changing the values into polar coordinates. Consider x=r cos (theta); y =r sin (…

Q: Find the area Inside the cardioid r=2 cos (6/3) and outside the circle of radius r = vZ centered at…

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Q: The sphere of radius a centered at the origin is expressed in Cartesan coordinate as x +y² +z? = a².…

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Q: 1. Find the area in the first quadrant, cut from the cylindrical surface x2 + y2 = a2 the plane z =…

A: Consider the given information: The surface is given by, x2+y2=a2 and the plane z=x.

Q: The volume of the solid generated by revolving the region bounded by the curve y = cos x, 0<xs4…

A: Volume of revolution

Q: The base of a solid is the region between the curve 16 sqrt ( sin x) and the interval [0,pi] on the…

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Q: A 1.5-mm layer of paint is applied to one side of the following surfaces. Find the approximate…

A: Let y=fx. Then fx=8x-x2.

Q: 5. Using the Spherical Coordinates find the volume of a solid within the sphere x² + y +z? =9 ,…

A: The given data: The equation of sphere is: x2+y2+z2=9 The equation of cone is: z=x2+y2 The solid is…

Q: 1. Find the centroid of the semicircular area inside x? + y² = a²_with y> 0 Answer:

A: Since you have posted multiple questions in this question which are not interlinked so I have solved…

Q: Use spherical coordinates to find the volume of the region outside the cone p = t / 4 and inside the…

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Q: a para on to express the area The portion of the plane y + 2z = 2 inside th Let u =r and v = 0 and…

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Q: a. Use integrals to show that the circumference of the circle x2 + y? a? is 2na. %3D b. Find the…

A: Solving question (a),

Q: The radii of the bases of two right circular solid cones of same height are r1 and r2 respectively.…

A: Given, the radii of the bases of two right circular solid cones of the same height are r1 and r2…

Q: Find the surface area of the portion of the sphere of radius 4 that lies inside the Fylinder x2+y? =…

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

Q: Which solid of revolution we get by revolving the given region around x-axis O a. Right circular…

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Q: 63 Find the area of the surface generated by revolving x= 4/4-y, 0sys about the y-axis. x=4/4-y

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Q: Compute the surface area of the cone generated by revolving c(t) = (t², t) for 0 < t < 4. (Use…

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Q: Find the volume of the solid above the triangle with vertices (0, 0), (-1, 0) and (-1, 2), below the…

A: Given The triangle with vertices 0,0, -1,0, -1,2,below the surface z=sinπx2

Q: 1. Use a parametrization to express the area of the given surface as a double integral and then…

A: Here we will cylindrical co ordinate system to parametrize the surface  x=r cosθ , y = r sinθ , z=z

Q: Define R as the region that is bounded by the graph of the function f(x) = -4/3 cos (x), the x-axis,…

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Q: Find the surface area of revolution about the y-axis of y = 2x + 3 over the Interval 1 < 54 Submit…

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Q: A 1.5-mm layer of paint is applied to one side of the following surfaces. Find the volume of paint…

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Q: Find the surface area of the surface resulting from revolving the cu y=x+2 on the interval [0,1]…

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Q: A spherical Ball8on 1s (S = 4tr²) with respect to the radius r are the following: a. 0.3 m b. 0.61 m…

A: Follow the procedure given below.

Q: Find the exact area of the surface. :=+2y,0sxS1,0sys2 Oa 2+ n(4) Ob. Sin(3) 4. Oc3-In(5) Od 5…

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Q: 9. Find the volume ot the solid that lies under the paraboloid 2= 81-x"-uF and above the unit circle…

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Q: Find the area enclosed by the ellipse x = a cos t, y = b sin t, 0&lt;= t&lt;= 2pai.

A: Given,

Q: 14. Find the volume of the solid created by revolving the shaded region given below about the x axis…

A: Here given a straight line x+2y=2 and it is revolved around x axis. We need to compute its volume.If…

Q: The volume of the solid generated by revolving the region enclosed by the triangle with vertices…

A: Topic : volume of solid

Q: Convert the triple integral GyaldV+o spherical coordinates. Eis the Salid that lies within the…

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Q: 6. By using the double integral in polar coordinate, find ff e-(x²+y')dA for the region enclosed by…

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Q: 39 Find the volume inside the sphere (r = a) that lies between the cones ( = 1/3) and ( = 2n/3) %3D

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Q: the volume of the solid that lies above the cone z = √√3x² + 3y² and below the sphere x² + y² + z² =…

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Q: Find the area of the surface generated by -y + e revolving the curve x = 2 Osys In 7 about the…

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Q: 2.Use polar coordinate to evaluate 1 SS dA where Ris the region bounded 2 1+ x + y R by circles each…

A: Double integration by using polar coordinates

Q: Note: Kindly provide a solution pls. The answer is already provided. Thank you! 1.12 Two identical…

A: consider a radius of the small circle is  r

Q: The volume of the solid that lies above the cone 0 and below the sphere r = cos (0) is: (Here, r =…

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Q: The area of the surface generated by revolving the line x = y from x= 0 to x=2 about the y-axis:…

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Q: R y X N

A: Let's take a volume element in spherical coordinates, dV=r2sinφdrdφdθ As it can observe that, r…

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.