Use spherical coordinates to evaluate f[[, 3e(a+y´+z²)°/² dV, where E is the region inside the sphere x2 + y? + z² E 2 in the first octant. (e?v² _1) 2 A(e?v3 _1) None of these 2

Q: Use spherical coordinates. Evaluate ∭e ^ (x ^ 2 + y ^ 2 + z ^ 2) dV, where E is inside the sphere x…

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Q: 1. Let S be the part of the sphere x2 + y? + z² plane z = 3, oriented so that the "top" of the…

A: Given the equation of sphere that lies above the plane z=3 x2+y2+z2=25

Q: Use a change to spherical coordinates to evaluate L Vx² + y² + z² dV , where E is E the region…

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Q: Vx2 + y² and Let N be the solid bounded from below by the cone z = from above by the sphere x2 + y²…

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Q: Let D be the unit disk: x + y² < 1. Evaluate I| 7exp(x² + y²) dx dy by making a change of variables…

A: Given:The integral

Q: Let D be the solid in space lying beneath the ry-plane and between the sphere r2 + y? + z² = 3 and…

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Q: Consider I=E∫x3dx1dx2dx3, where E: x12 + x22 ≤ x23, 0 ≤ x3 ≤ 1,that is, E is the solid bounded by…

A: a)  The surface has a solid region, E={(x1, x2, x3): -1≤x1≤1, -1≤x2≤1 and 0≤x3≤1}, which is a cone…

Q: Use cylindrical coordinates. Evaluate II Vx2 + y2 dv, where E is the region that lies inside the…

A: Volume using triple integral

Q: Evaluate the surface integral f F. dS where F = (-2x, –5z, 5y) and S is the part of the sphere x2 +…

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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: FIs () Use spherical coordinates to evaluate 1- av where the solid E lies above the cone z=V+y*,…

A: We have to evaluate.I=∭Exzdv, using spherical coordinate  Consider, where the solid E lies above…

Q: Which of the following surfaces cannot be described by setting a spherical variable equal to a…

A: Given,ρ=k , ϕ= k , θ=k To check which one of the given surfaces cannot be described in the above…

Q: Find a parametric representation for the part of the cylinder y2 + z² = 36 that lies between the…

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Q: By transforming into spherical polar coordinates, evaluate JJ) 1-x². ff - (- dxdydz , taken…

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Q: Use spherical coordinates. Evaluate (x2 + y2) dv, where E lies between the spheres x² + y2 + z² = 9…

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Q: Use spherical coordinates. Evaluate |/| (x2 + y²) dv, where E lies between the spheres x2 + y2 + z2…

A: For spherical coordinates: x = ρ sinφ cosθ, y = ρ sinφ sinθ z = ρ cosφ. So,       x2+y2=ρ sinφ…

Q: e of the solid E whose boundaries are given in rectangular located inside the circular cone x? + y?…

A: In this question we will use basic of calculus i.e volume of cone. We will simply draw the given…

Q: dv Use spherical Coordinares to compute H 2 where W is the solid bounded by the spheres 4 ty+z² =g…

A: Given I=∫∫∫wdVx2+y2+z2Where W is the solid bounded by the spheres x2+y2+z2=9 and x2+y2+z2=4.

Q: 17. Let T be the solid bounded below by the half-cone z = Vx² + y? and above by the spherical…

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Q: Use cylindrical coordinates. Evaluate Vx2 + y2 dv, where E is the region that lies inside the…

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Q: Let G be the solid in the first octant bounded by the sphere 2x? + 2y? + 2z? = 32 and the coordinate…

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Q: Evaluate z* + x dS where S is the cylinder x2 + y? = 36 between the planes z = -3 and z = 1,…

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Q: Use polar coordinates to evaluate || (2x-3y) dA, R ere R is the region in the upper half-plane…

A: Consider the given information.

Q: Using spherical coordinates, the volume of the solid inside the sphere x²+y² +z² = 9 and above the…

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Q: Use Cartesian coordinates to evaluate SSS y² dv av where D is the tetrahedron in the first octant…

A: Given D is the tetrahedron in the first octant bounded by the coordinate planes and the plane 2x +…

Q: t) Use spherical coordinates to evaluate the triple integral e-(2+y2+:?) AP E Vx2+y? + z2 E is the…

A: Here we evaluate the triple integral.

Q: 9.) Find the flux for F(x, y, z) = xi + yj + zk and S: x + y? + z? = 9 in the irst octant. (Hint:…

A: Flux problem....

Q: 5. Use the spherical coordinates to evaluate the integral f dzdydr, where R is the region enclosed…

A: In spherical coordinates,                                       x = ρsinφsinθy= ρsinφcosθz= ρcosφ

Q: Use spherical coordinates. I/ y2z2 dv, where E lies above the cone o = n/3 and below the sphere p =…

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Q: Let G be the solid in the first octant bounded by the sphere 2x? + 2y? + 2z? and the coordinate…

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Q: b) Write the equation of the sphere x² + y² + (z – 1)² = 1 in spherical coordinates then find the…

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Q: Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the…

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Q: Use spherical coordinates. Evaluate ||| (x² + y²) dv, where E lies between the spheres x2 + y? + z²…

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Q: Use spherical coordinates to evaluate the triple integral / x² + y² + z² d mere E is the ball: æ² +…

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Q: EX. Find the volune of the solid region lymg mside both the sphere Xtuf+2?= 402 and the cylmeder…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Use spherical coordinates. Evaluate z dv, where E lies between the spheres x2 + y2 + z2 = 9 and x2 +…

A: Given equations of spheres: x2+y2+z2=9 x2+y2+z2=36 For spherical coordinates: x=ρ cosθ sinϕy=p sinθ…

Q: Evaluate the surface integral fF- dS where F = (52,-52, 5y) and S is the part of the sphere a² +2+22…

A: Solution

Q: Use spherical coordinates. SIL Evaluate xyz dV, where E lies between the spheres p = 2 and p = 6 and…

A: Consider the given statement. Let  x=ρsinϕcosθy=ρsinϕsinθz=ρcosϕ Then dV=ρ2sinϕdρdθdϕ The limits…

Q: 2. Let W be the portion below the plane z = centered at the origin in R3. Give a domain for…

A: We will use relation between cartesian and spherical co ordinate to find domain of W

Q: Use cylindrical coordinates. Evaluate II| Vx² + y2 dv, where E is the region that lies inside the…

A: We have to evaluate  ∭Ex2+y2dV, where E is the region that lies inside the cylinder x2+y2=1 and…

Q: Use cylindrical coordinates. Evaluate || Vx²+ y? dv, where E is the region that lies inside the…

A: The given integral is: I=∫∫∫E x2+y2 dVwhere E is the region bounded by: x2+y2=4 and between planes…

Q: Use spherical coordinates to evaluate II. y dædydz, where V is the region with y > 0, z > 0, and x²…

A: To evaluate the given integral using spherical coordinates. Given integral is: ∭VydxdydzV is the…

Q: Use spherical coordinates. SIL Evaluate (x2 + y2) dv, where E lies between the spheres x² + y2 + z²…

A: Consider the given integral ∫∫∫Ex2+y2dV, where E lies between the spheres x2+y2+z2=4  and…

Q: 2)use the polar coordinates to evaluate the double integral: )x2 +y2 dA R is the disk x2 + y2 < 9 A)

A: We have to use polar coordinates here.

Q: A solid lies above the cone z = V x² + y2 and below the sphere x2 + y2 + z2 = z. Write a description…

A: We have, z=x2+y2            ⋯⋯1 Let us consider, x=ρsinϕcosθy=ρsinϕsinθz=ρcosϕ On substituting in…

Q: 17. Let T be the solid bounded below by the half-cone z = Vr2 + y? and above by the spherical…

A: Consider T be the solid bounded below by the half cone z=x2+y2 and above by the sphere x2+y2+z2=1.…

Q: (a) The part of the surface z = 1+ 3x + 2y² that lies above the triangle with vertices (0,0), (0,…

A: a) Given part of surface is  z=1+3x+2y2, which lies above the triangle with vertices (0, 0), (0, 1),…

Q: Use spherical coordinates to evaluate the triple integral e-(x² + y² +2²) J dV, x √2² + y² + 2² E…

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Q: #1. Find a parametric representation of the part of the cylinder x² + z? = 9 that lies above the…

A: parametric equations for a cylinder of radius 3 x^2+y^2+z^2=r^2 Where r=3

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.