Convert from spherical to cylindrical coordinates ( a ) (5, π/ 4, 2π/ 3) (b) (1, 7z/6, п) (c) (3, 0, 0) ( d ) ( 4, π/6 , π/ 2)

Q: Find an equation for the paraboloid z = 3 – (x² + y) in cylindrical coordinates. (Type theta for 0…

A: The given equation of the paraboloid is: z=3-x2+y2 To find the equation of the paraboloid in…

Q: Cartesian to cylindrical and spherical coordinate

A: Given point p(0, -4, 3) The relation between rectangular co-ordinates (x, y, z) and cylindrical…

Q: Convert from rectangular to cylindrical coordinates. (6.2V3, 3) (Use symbolic notation and fractions…

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Q: Describe how the surface with spherical equation p²(1 + A cos² ¢) = 1 depends on the constant A.

A: Given : ρ2(1+Acos2ϕ)=1To describe: How the surface with spherical equation  ρ2(1+Acos2ϕ)=1depends on…

Q: Convert from spherical to cylindrical coordinates (2, π/3, π/6)

A: Spherical to cylindrical (r,θ,ϕ)->(ρ,θ,Ζ)ρ=r sinϕθ=θz=r cosϕ

Q: 9. Calculate lim (2,y,2)→(0,0,0) x² + y² + z² by converting to spherical coordinates.

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Q: Convert the point (x, y, z) = (-4,- 4, 4) to cylindrical coordinates. Give answers as positive…

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Q: A point has cylindrical coordinates (r, 0, z) = (2, ,2/3). co .Convert to spherical coordinates.…

A: Given cylindrical coordinate is r,θ,z=2,π6,23 ∴ r=2  θ=π6z=23

Q: ) Find an equation for the plane y = 2 in cylindrical coordinates. (Type theta for 0 in your…

A: Given the equation in recatngualr co-ordinatesy=2

Q: Convert the point (x, y, z) = ( – 4, – 5, – 5) to cylindrical coordinates. Give answers either as…

A: Co ordinates in cartesian form , (x,y,z) = (-4,-5,-5)

Q: Evaluate spherical 4 √16-4² √16-x² - y² sőösi O -√16-x²-y² cylindrical coordinates. or (x² + y² + z…

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Q: The location of a point on the Cartesian coordinate system (x,y,z) is (4,5,6). Using the location in…

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Q: Sketch the solid that has the given description in spherical coordinates           0 ≤   ≤ 2 , /4 ≤…

A: Concept: Calculus helps in understanding the changes between values that are related by a function.…

Q: Express x2y2+ z2 = 2z in cylindrical and spherical coordinates.

A: Given,

Q: Change from rectangular to cylindrical coordinates. (a) (3, 3, 4) (r, 0, z) =

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Evaluate ∫W z dV, where W is the first-octant portion of the solid sphere of radius 2 centered at…

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Q: Convert the point from cylindrical coordinates to rectangular coordinates. 8, 3. 2 1- (x, y, z) = (…

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Q: Convert the point (x, y, z) = ( – 4, – 5, - 5) to cylindrical coordinates. Give answers either as…

A: Note: As per our guidelines we are allowed to solve one question at a time. Kindly repost the rest…

Q: Use spherical polar coordinates to evaluate LLEN V4-x2 x² + y2 + z² dz dy dx. -V4-x2

A: Solution is given below:

Q: Verify in cylindrical coordinates that V-(ïv)=(V -ū5+ū -Vỹ

A: Given: ∇.u→v→=∇.u→v→+u→.∇v→

Q: Find the position of a point given as (5, 2π/3, 2) in cylindrical coordinates, in cartesian and…

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Q: Show that the cylindrical equation ,2(1 – 2 sin² 0) + z² = 1 is a hyperboloid of one sheet.

A: Given a cylindrical equation r21-2sin2θ+z2=1 To show that this equation is a hyperboloid of one…

Q: Convert the point (x, y, z) = (-4, -2, 0) to cylindrical coordinates. Give answers as positive…

A: We can solve this as follows:

Q: Convert the point from rectangular coordinates to cylindrical coordinates and spherical coordin (v5,…

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Q: The point (x, y, z) = (-1, –1, –1) under rectangular coordinates in R³ can be described through…

A: Let's find.

Q: Express cylindrical coordinates in terms of spherical coordinates

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Q: Convert (r, θ , z) =(3, π/6 , 4)from cylindrical to spherical coordinates.

A: Given coordinate (r, θ , z) =(3, π/6 , 4)

Q: Convert the following from Spherical Coordinates to Cylindrical and Cartesian Coordinates: (a) (2, -…

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Q: Convert the point (x, y, z) = (4, 4, 3) to cylindrical coordinates. Give answers either as…

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Q: the Cartesian coordinates of the point with cylindrical coordinates (r, 0, 2) = (4, т, 6) (x, y, 2)…

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Q: Find an equation for the plane y=3 in cylindrical coordinates

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Q: [ 64–x² 64-x²-y 2x? dzdydx. Use cylindrical coordinate to evaluate La LIe4-r2 So

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Q: Convert the point from rectangular coordinates to cylindrical coordinates. 11. (0,5,1) 12.…

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Q: 1. Given a point (r, 0, z) = (2, 1/4, 1 /3) in cylindrical coordinates, what is its %3D rectangular…

A: We have to find the rectangular coordinates of given point in cylindrical coordinates.   According…

Q: 2. Convert the cylindrical coordinates [2, 1/6, –2] to Cartesian coordinates and to spherical…

A: We have to find the coordinates

Q: have the cartesian coordinates x=3, y=9, z=3.  please show me how to convert to cylindrical…

A: Given: x=3, y=9, z=3.

Q: Convert the point (æ, y, z) = (1, – 2,0) to cylindrical coordinates. Give answers either as…

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Q: sketch the solid that has the given description in spherical coordinates. 0 ≤ θ ≤ 2π, π/4 ≤ ϕ ≤ π/2,…

A: In spherical coordinate, ρ is the length of the line. φ is the angle made by the line and the z…

Q: cV9-x2 5) Use cylindrical coordinates to evaluate , L r9-x²-y2 x²dzdydx.

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Q: Find the Cartesian coordinates of the point (6, 4. VIT) given in cylindrical coordinates

A: First we have to determine (r,∅,z) then calculate respective Cartesian co-ordinates

Q: hat are the cylindrical coordinates of the point whose spherical coordinates are

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Q: Convert the point (x, y, z) = ( – 1, – 4, 3) to cylindrical coordinates. Give answers either as…

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Q: V4-x2 9-x2-y² (C ) Convert , S -x?dzdydx to cylindrical coordinates (without evaluation)

A: We will calculate by the rule of cylindrical coordinate

Q: Convert the point from rectangular coordinates to cylindrical coordinates. (7, –7, 2) ( 0,7,2 (r, 0,…

A: Given point is (7,-7,2) The rectangular coordinates are related to the cylindrical coordinates by…

Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation…

A: Consider the following equation: x2+y2-2z2=5                                             ...... 1…

Q: √1-x² 16 By changing to cylindrical coordinate, evaluate So So √x²+y2x² dzdydx

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Q: Convert the rectangular equation x2 + y2 + z2 − 2z = 0 to an equation in (a) cylindrical coordinates…

A: (a) Convert to  cylindrical coordinates as follows: Substitute x=rcosθ,y=rsinθ,z=z.…

Q: Convert from rectangular to cylindrical coordinates. (v3, 3, 3) (r, 0, z) = ( ||

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