Use a parametrization to express the area of the surface as a double integral. Then evaluate the integral. The portion of the cone z = 3/x +y between the planes z =0 and z = 9 Let u=rand v=A and use cylindrical coordinates to parametrize the surface Set up the double integral to find the surface area

Q: Use spherical coordinates to evaluate the mass of a solid given by the integral below: 2 To LT SVET…

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Q: Let B be the ball of radius a centered at the origin. Use a triple integral to find the average…

A: Let B be the all of radius a centered at origin .We have to use triple integral to find the average…

Q: (a) the volume of R using cylindrical coordinates with dV = r dz dr de w

A: NOTE:- According to the guidelines we cane solve only first question in case of multiple questions.…

Q: Find the volume of the solid that results when the region enclosed by the given curves is revolved…

A: We can find volume by using washers method.

Q: use spherical coordinates to find the volume of the solid. . Solid bounded above by x2 + y2 + z2 = z…

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Q: Use cylindrical coordinates to find the volume of the solid. Solid bounded by the graphs of the…

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Q: Find the volume of material cut from the solid sphere r2 + z2 <=9 by the cylinder r = 3 sin u.

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Q: Use cylindrical coordinates to find the volume of the solid bounded by the paraboloid of revolution…

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Q: Evaluate the surface integral. xyz ds, S is the cone with parametric equations x = u cos(v), y = u…

A: See the attachment

Q: Find the surface area generated b rotating the portion of the parabolic arc x = y^2 from x =0 and x…

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Q: find a parametrization of the surface Circular cylinder band The portion of the cylinder (x - 2)2…

A: Given: The portion of the cylinder (x - 2)2 +z2 = 4 between the planes y = 0 and y = 3 To find:  a…

Q: Sketch the region defined by the following two conditions (in spherical coordinates): 0<p<2, 0<¢s…

A: The region is: Given that 0≤ρ≤2, 0≤φ≤π4 The given region is a part of a sphere of radius 2.

Q: Set up the following triple integral, but do not calculate it: a solid above the xy-plane, inside…

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Q: icle generada a girar alred =et, y = 2et +1 0 <t≤ 1. dereje x por.

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Q: Find the area of the surface generated by revolving the curve 6a² xy = y + 3a from y= a to y = 3a…

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Q: Evaluate the surface integral. xyz ds, S is the cone with parametric equations x = u cos(v), y = u…

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Q: Calculate the surface area obtained by rotating the following parametric curve about the y-axis: x…

A: The surface area obtained by rotating the parametric curve x(t) and y(t) about the y-axis over [a,b]…

Q: zdV

A: The relation between cylindrical and Cartesian coordinates, it is convenient to assume that the…

Q: Compute the surface area of the cone with parametrization p(r, 0) = (r cos 0, r sin 0 , r) where 0 <…

A: Differentiate the function φr,θ=rcosθ,rsinθ,r partially with respect to r and θ, to compute φr×φθ.…

Q: Find the volume of the region bounded below by the cone ( z=V(x2 + y?) ,and above the plane ( z=1),…

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Q: Use spherical coordinates to find the volume of the solid G bounded above by the sphere x² + y² + z²…

A: Given that the solid inside the sphere is x2+y2+z2=16 and  the cone is z=∠x2+y2we need to find the…

Q: use a parametrization to express the area of the surface as a double integral. Then evaluate the…

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Q: Use the shell method to write and evaluate the integral that gives the volumme of the solid…

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Q: Find the volume of the solid cut out of the sphere z + r2 = 4 by the cylinder r = 1, using a triple…

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Q: Use spherical coordinates to find the volume of the solid bounded above by the sphere p = 2 /2 and…

A: First we have to set up a triple integral for the volume of the solid region bounded above by the…

Q: The portion of the surface h x² + y? with h, a > 0, 2 = -. a between the ry-plane and the plane z =…

A: Given that:   The portion of the surface is given as: z=hax2+y2  with h,a&gt;0

Q: Use​ Pappus's theorem for surface area and the fact that the surface area of a sphere of radius a is…

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Q: Find the surface area of the surface given by the portion of the paraboloid z= x² + y´ that lies…

A: The surface area f(x,y) above the region R of the XY plane is given by  ∫∫R(fx)2+(fy)2+1dxdy , where…

Q: Use polar coordinates to find the volume of the solid under the paraboloid z = 4 – x2 y' and above…

A: a)  Given that z=4-x2-y2and the disk(x-1)2+y2=1 To find the volume under z over the given disk by…

Q: et Q be the part of the sphere of radius 3 centered at the origin which lies above z = 1, and let D…

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Q: SS curl F · dS =0 S

A: we have to prove that if a surface is closed then the surface integral of curlF .ds is 0 Here…

Q: Use cylindrical coordinates to find the volume of the solid. solid inside the sphere  x2 + y2 + z2…

A: Given: The solid inside the sphere is: x2+y2+z2=1   -1 And, above the upper nappe of the cone is:…

Q: Find the volume of the solid under the surface z = × siny that lies above the rectangle R = [0,1] x…

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Q: Find the line integral of F = around the curve of intersection of the half cone z = Vr?+y? and the…

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Q: ordinates to find the volume

A: Given surface: z=e-x2-y2-e-9 and XY plane To find: Using polar coordinates, find the volume of the…

Q: Use cylindrical coordinates to find the volume of the solid. Solid bounded by the graphs of the…

A: We need to find volume of solid.

Q: Compute the surface area of the cone with parametrization p(r, 0) = (r cos 0, r sin 0, r) where 0 <…

A: Formula Used:- Surface Area is given by For ϕ(u, v)=&lt;p, q, r&gt;Surface Area =∬ ||φu×φv|| dudv

Q: x+y 0szs1 by finding a proper parametrization first. Find the surface area of the cone

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Q: Use a parametri. tion to express the area of tne surface as a double Integrai. Then The portion of…

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Q: Use cylindrical coordinates to find the volume of a solid bounded below by the cylinder æ +y <. and…

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Q: Use spherical coordinates to find the volume of the solid. Solid inside x2 + y2 + z2 = 81, outside z…

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Q: Use triple integral in spherical coordinates to find the volume of the part of the ball ρ ≤ a that…

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Q: use spherical coordinates to find the moment of inertia about the z-axis of the solid of uniform…

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Q: Use a Spherical Coordinate integral to find the volume of the solid bounded above by the sphere p =…

A: Given, Region is bounded above by the sphere and below by the cone .

Q: Evaluate the triple integral /| z dV where E is the solid region enclosed by the paraboloid z = x? +…

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Q: Use spherical coordinates to calculate the integral SSgr+y°dV over the region E which is the portion…

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Q: Express the moment of inertia l, of the solid hemisphere x? + y? + z? <1;z 20, as an iterated…

A: According to the given information, it is required to express the moment of inertia of the solid…

Q: = [[[In(x² + y² )dxdydz

A: Evaluate the integral I=∫∫∫lnx2+y2dxdydz by transforming it into cylindrical polar co-ordinates ρ,…

Q: Convert to cylindrical coordinates and evaluate the integral !! /// (r² + y²)* dV_where S is the…

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Q: Use cylindrical coordinates to find the volume of the solid. Solid bounded by the graphs of the…

A: Given the solid is bounded above by Z=2-x2-y2 and below by Z=x2-y2 putting second equation in first…