The given point is in cylindrical coordinate system. Find its coordinates, in exact form, in the rectangular system and the spherical system.

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

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Q: Find the equation in rectangular coordinates of the quadric surfaceconsisting of the two cones φ =…

A: The relation between spherical and rectangular coordinates in polar form is given by the following…

Q: Name three points Coplanar with point A

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 9) Radius:…

A: Given:Center : (-1,-2,9)Radius: 7We will find the equation of the sphere

Q: Describe the position of the point (2, 0°, 30°) given in spherical coordinates.

A: The rectangular coordinates (x, y, z) and the spherical coordinates, (r, θ, ɸ) of a point are…

Q: Find the standard equation of the sphere with the given characteristics. ...... Center: (-1, -3, 7)…

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Q: The cylindrical coordinates of a point are

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Q: Find the standard equation of the sphere with the given characteristics. endpoints of a diameter:…

A: Equation of the sphere

Q: Find the standard equation of the sphere with the given characteristics.

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Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given endpoints of diameter ::

Q: Graph the surface whose spherical equation is p = 1– sino.

A: We use maple software to graph the given surface.

Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given that End points of diameter (2,9,13),(2,-7,-6)

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 7) Radius:…

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Q: Convert from cylindrical to rectangular coordinates ( a) ( 4, π/6, 3 (b) (8, Зт/4, -2) (c) (5, 0, 4)…

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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: Convert the coordinates as indicated (3,TT/3, -4) from Cylindrical to Cartesian.

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

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Q: and an equation in cylindrical coordinates for the equatic = 25x²+25y²-2

A: topic:- coordinate system

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 5) Radius:…

A: We are given: Centre: (-1, -3, 5)Radius: 7 We need to find the standard equation for the sphere with…

Q: Convert the following quadric surface into spherical coordinates.

A: Convert the quadric surface into spherical coordinates.

Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation x2…

A: We have to convert the given equation x2+y2=16 into spherical coordinates

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

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

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Q: Find the standard equation of the sphere with the given characteristics. endpoints of a diameter:…

A: Use standard equation of sphere

Q: Which of the following shapes could tessellate a plane on their own?

A: We know that triangles, squares and hexagons are the only regular shapes which tessellate by…

Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(-1,…

A: Equation of sphere  standard form of sphere equation

Q: Find the standard equation of the sphere with the given characteristics. endpoints of a diameter:…

A: To find the standard equation of sphere.

Q: State whether the given equation defines an elliptic paraboloid, a hyperbolic paraboloid, or an…

A: 3x2-7y2=z On simplification, we get ⇒z=x213-y217⇒z=x2132-y2172⇒z=x132-y172

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

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Q: Write the equation for the sphere of radius 1 centered at the prigin in the each of the following…

A: The general equation of a sphere in cartesian coordinates is: x-a2+y-b2+z-c2 = r2 Here, r is the…

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: If point P has rectangular coordinates (-1, /3, -12), then its cylindrical coordinates are (r, 0, 2)…

A: I am attaching image so that you understand each and every step.

Q: Find the solution set in parametric form of the following system: I + 211 + -211 I3 + 214 %3D

A: We have to find the parametric form of the given set of equations.

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

A: We have to convert given spherical cordinate to cylindrical coordinate system.

Q: The length of the major axis of the cllipse with center (-4, 1), minor axis parallel to the y-axis…

A: Equation of ellipse with center (-4,1) is given by

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 9) Radius:…

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Q: What is the length of the transverse axis of the hyperbola whose foci are (0, -5) and (0,5), and…

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Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given endpoints of a diameter of sphere is 2,1,3 and 1,3,-1. The standard equation of sphere is…

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

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –3, 5) Radius:…

A: Given that: Centre of the sphere, (h,k,g)= (-1, -3, 5) and radius, R=6

Q: YouTrylt 3 Find the rectangular and cylindrical coordinates of the point with spherical ( 2, 7 /…

A: To convert the spherical to rectangular and cylindrical coordinates

Q: Find the rectangular coordinates of the point (G) which is in spherical coordinates.

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Q: (3,-를기 (b)

A: Solution is below

Q: Determine the rectangular form of z (1 + i)!-i

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 7) Radius:…

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Q: The signal received by a parabolic antenna is concentrated in its receiver, which is placed,…

A: For the Paraboloid,z-axis is it's Principal Axis,Also, it is symmetric with the lines x = 0 (yz…

Q: Find the standard equation of the sphere with the given characteristics Endpoints of a diameter: (0,…

A: Given: Endpoints of a diameter of sphere: a1, b1, c1 ≡(0, 0, 4) and a2, b2, c2 ≡(4, 6, 0)

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 9) Radius.…

A: We are given center of sphere as (-1, -7, 9) and radius be 6. We have to find standard equation of…