Convert the rectangular coordinates to both Spherical and cylindrical coordinates; A (-1, 1, −√2)

Q: Find the rectangular coordinates of the point whose cylindrical coordinates are given. a) (3, pi,…

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Q: y³ /r² + y² + z²dzdrdy

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Q: The cylindrical coordinates of a point are

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Q: Convert the point from cylindrical coordinates to rectangular coordinates.

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Q: 12. Convert the rectangular coordinates (-1,3,5) to cylindrical coordinates

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Q: Find the spherical coordinates of the point with rectangular coordinates (2, –2, 2/2).

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Q: Find the spherical coordinates of the point with Cartesian coordinates (4, −4, 4√6)

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Q: Convert the point (1, π/3 , 1) from cylindrical to spherical coordinates. Show solutions. Choices:…

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Q: Given a point in spherical coordinate (5, ) find its equivalence in cylindrical coordinate. Draw the…

A: Introduction: Apart from the rectangular coordinate systems, there are two other coordinate systems…

Q: If a point A has the rectangular coordinate (v2, v2, V3), so its cylindrical coordinates are (2, 5,…

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Q: State the formulas for converting rectangular to spherical coordinates.

A: Converting rectangular to spherical coordinates.

Q: convert from rectangular to spherical coordinates.  (√3/2 ,3/2, 1)

A: Given Rectangular coordinates ;32,32,1

Q: Convert the following point from spherical to rectangular coordinates: 5, 4' 6 (х, у, 2) —

A: Use the following equations to convert spherical coordinates ρ,θ,φ to rectangular coordinates x,y,z.…

Q: Given a point in cylindrical coordinate (4, , -4 find its equivalence in spherical coordinate. Draw…

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Q: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

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Q: Convert from rectangular to cylindrical coordinates (a) (4 /3 ,4, -4)

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Q: Convert to spherical coordinates and evaluate: 4-x2-y2 4-x2 -4²+x²+z?)² dzdy dx

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Q: Write the equation in spherical coordinates. (a) 5z? = 3x² + 3y?

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Q: C) Convert the equation 5x2 + 2y2 = 3z to spherical coordinates. %3D

A: Use the relation between and spherical coordinate and cartesian coordinates.

Q: Convert the following from rectangular (Cartesian) coordinates to spherical Coordinates. (-V3, -3,…

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Q: Convert from spherical to rectangular coordinates. 8, (х, у, 2) %3D

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Q: Write the equation in spherical coordinates. (a) z2  = x2 + y2

A: Given the equation:

Q: 5. Find the spherical coordinates of the point with rectangular coordinates (2, –2, 2/2).

A: We have to convert rectangular coordinates to spherical coordinates.

Q: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a)    (8,…

A: ρ, θ, z=8, π4, 3⇒ρ=8, θ=π4, z=3  Now rectangular coordinates are, x=ρcosθ, y=ρsinθ, z=z⇒x=8cosπ4,…

Q: . Find the rectangular coordinates of the point (T,5, –2) which is in cylindrical coordinates.

A: To find: The rectangular coordinates of the given point. Given information: The cylindrical…

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

A: We have to find the coordinates

Q: (a) Plot the point with cylindrical coordinates (2, 27/3, 1) and find its rectangular coordinates.

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Q: Write the equations in spherical coordinates 3x+4y+7z=1

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Q: Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the…

A: Steps to draw a cylindrical coordinate 1) Take a radius of 6 with an angle of -π2 from x-axis 2)…

Q: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (a) (4, T/4,…

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Q: Given a point in cylindrical coordinate (4, , -4 ), find its equivalence in spherical coordinate.…

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Q: Convert the rectangular equation y = 4 to an equation in (a) cylindrical coordinates and (b)…

A: y=4 a). rsinθ=4   ∵x=rcosθ,  y=rsinθ,  z=z⇒r=4sinθ⇒r=4cscθ

Q: 5. Convert from rectangular to cylindrical coordinates (b) (-5,5,6) (c) (0,2,0) (d) (4, -4 /3,6 )

A: We have to convert the rectangular coordinates to cylindrical coordinates.

Q: Find the rectangular coordinates of the point, whose cylindrical coordinates are given. (а) (3, п,…

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Q: Convert the rectangular equation x2 + y2 + z2 = 27 to an equation in (a) cylindrical coordinates and…

A: Given: Rectangular equation x2 + y2 + z2 = 27

Q: The spherical coordinates of a point P are given by (2, coordinates of the point P are -). The…

A: The relationship between the rectangular co-ordinate  (x,y,z) of the point P and its spherical…

Q: Write the equation in spherical coordinates. (a) 5z2 3x2 + 3у2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Change from rectangular to spherical coordinates (0, 4sqrt3, 4) and (-3,3,3sqrt6)

A: Note that:Limits of ρ, θ, ϕ are:∙   ρ>0∙   0<θ<2π∙   0≤ϕ≤π

Q: 11. Convert the cylindrical coordinates (4,,-2) to rectangular coordinates

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Q: Convert from rectangular to spherical coordinates (a) (1, /3, -2) (b) (1, -1, /2) (c) (0, 3/3 , 3)…

A: The rectangular coordinates,a) 1, 3, -2b) 1, -1, 2c) 0, 33, 3d) -53, 5, 0

Q: Convert the rectangular equation x2 + y2 = 4y to an equation in (a) cylindrical coordinates and (b)…

A: Given- x2+y2=4y To find- An equation in (a) cylindrical coordinates and (b) spherical coordinates.…

Q: Convert the following point from Spherical Coordinates to Rectangular Coordinates.13 (ahải 2)

A: ρ, θ, ϕ=4, π4, π3 Therefore, ρ=4, θ=π4, ϕ=π3

Q: Convert the point from spherical coordinates to rectangular coordinates 8, 6. 3

A: →To convert spherical coordinates (r,θ,ϕ) into rectangular coordinates (x,y,z) , Use the following…

Q: Convert the point from spherical coordinates to rectangular coordinates. 9, Tt, 2 (х, у, 2) %3

A: There are three coordinate systems and one coordinate system can be converted to other using the…

Q: Find the formula for the distance between the points P1(a1,b1,c1) and P2(a2,b2,c2) given in…

A: First write the given coordinates in spherical coordinates. a1=r cosθsinϕb1=r…

Q: (d) Convert from spherical coordinates to rectangular coordinate (12, –7/4,0)

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Q: Convert the following point from spherical to rectangular coordinates: (17) - 4 4 (x, y, z) =

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Q: Q7. Convert the rectangular coordinates to both Spherical and cylindrical coordinates; A (-1, 1,…

A: x,y,z=-1,1,-2 r=x2+y2+z2 r=-12+12+-22 r=1+1+2 r=4 r=2 . θ=tan-1yx θ=tan-11-1 θ=135  degree θ=3π4…