(a) (b) -3 -2 2 3 (c) (d) (e) (f) 2 y 2

Q: Write the ellipsoid 4.x2 + 16x + 3y? – 12y + 22 – 2z + 28 = 0 using spherical coordinates. Find the…

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Q: Match the surface to its corresponding equation in spherical coordinates. 4 2 3 4. %3D 2 1 а. -1 -2…

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Q: 7. (a) Find a spherical coordinate equations; for the sphere x²+y²+(z-1)²=1 and the surface…

A: To convert a point from Cartesian coordinates to spherical coordinates, use equations…

Q: the equation z=sqrt((x^2+y^2)/2) in spherical coordinates

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

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Q: An equation of the sphere (x-1)² + y² + (z-2)² = 5 in spherical coordinates 18:

A: A coordinate system is a convention that is used to represent a point uniquely using a set of…

Q: From Example 1, recall that x2 +y2 = 1 is the equation of the cylinder with radius 1, whose axis of…

A: The relationship between cylindrical coordinate system and spherical coordinate system is given as…

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

A: To convert: The equation into rectangular form. Formula used: Convert rectangular into cylindrical.

Q: Find an equation in rectangular coordinates for the cylindrical equation r = 5 cos(0)

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Q: Convert the given equation, -z2- y2 +=1, z20 to an equation in cylindrical coordinates.

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Q: 6a) Find the rectangular coordinates of the point 2, 2%, which is written in cylindrical…

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Q: 4-x²-y² 1 Evaluate ²4-y² So coordinates. x²+y²+z² dzdxdy by using spherical or cylindrical

A: Here we can use spherical coordinates to find the value of the integral. In spherical coordinates…

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

A: topic:- coordinate system

Q: find an equation in spherical coordinates for the equation given in rectangular coordinates x^2 +…

A: We have to find spherical coordinates form

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: find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces.…

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Q: write the equation (a) in cylindrical coordinates and (b) in spherical coordinates, please? x^2 -…

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Q: Find the spherical equation for the hyperboloid of two sheets x² – y² – 2² = 1.

A: Given information :  Equation of hyperboloid of two sheets x2-y2-z2 = 1

Q: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  x2…

A: Solution:- x2-y2=4 x=ρ sinφ cosθ y=ρ sinφ sinθ   ρ sinφ cosθ2-ρ sinφ sinθ2=4 ρ2 sin2φ cos2θ-ρ2 sin2φ…

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

A: Given,  The equation of the surface by cylindrical equation r=3,  To convert a cylindrical equation…

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

A: Given the equation:

Q: Write the equations in cylindrical coordinates. (a) 3x² – 6x + 3y2 + z² = 5 z = 7x2 – 7y2

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Q: Find an equation for the paraboloid z=x^2+y^2 in spherical coordinates

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Q: Find an equation in spherical coordinates for the equation given in rectangular coordinates. x2. +…

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Q: find an equation in rectangular coordinates for the equation given in cylindrical coordinates r= 2z

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Q: Try converting the following equation into cylindrical coordinates: x^2 + y^2 = 3z^2

A: The given equation is x2+y2=3z2. Note that, the given equation is in rectangular form. Convert the…

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

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Q: find an equation in cylindrical coordinates for the equation given in rectangular coordinates z=…

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Q: Part a) Convert the equation z = 3x2 + 3y2 to spherical coordinates. Part b) Describe in plain…

A: Given equation z=3x2+3y2

Q: Find an equation in rectangular coordinates for the equation given in cylindrical coordinates. p2 +…

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Q: Find an equation in rectangular coordinates for the cylindrical equation p2 + z? = 16

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

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Q: Find parametric equations for an object moving clockwise along the ellipse (x2/25)+(y29)=1 beginning…

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Q: Rewrite the equation in (a) cylindrical and (b) spherical coordinates. 4x? + 4y? + 9z² = 36.

A: In the  Cylindrical co-ordinate system  a point in space is represented by the ordered triple…

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

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Q: Write the equations in cylindrical coordinates. (a) 4x² + 4y² - z² = 9 (b) 7x - y + z = 3

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Q: Find an equation in spherical coordinates for the equation given in rectangular coordinates. x2 + y2…

A: The equation in rectangular coordinate is given by x2+y2+z2-3z = 0…

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: Find a spherical coordinate equation for the sphere x² + y? + (z – 1)² = 1

A: All real numbers can be represented on a line called the number line. The number zero corresponds to…

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

A: we have to find an equation in cylindrical coordinates for the surface represented by the…

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

A: We have to find

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: 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: Find the cylindrical equation for the ellipsoid 4x2 + 4y² + 2² = 1.

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

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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.…

Cylindrical Coordinate System

The distance from a selected reference axis, the direction from the axis relative to a selected reference direction, and also the distance from a selected reference plane perpendicular to the axis area unit, all accustom outline purpose positions in a cylindrical reference frame. Counting that the aspect of the reference plane faces the purpose, the latter distance is expressed as a positive or negative variety.