4-2 4-2-y2 zVa2y dzdydx 2. Convert to spherical coordinates and evaluate: -2 0

Q: Find the spherical equation of the Cartesian equation x2 + y2 +(z - 81)2 = 812. o a. rho = 81 cos…

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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: Find the spherical equation of the Cartesian equation x2 + y? +(z - 17)2 = 172. o a. rho = 17…

A: Find the spherical equation of the Cartesian equation x2 + y2 +(z-17)2 = 172. Here i attached…

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

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Q: b.) √4-1²-² √3x²+3y² TEN nates. z dz dy dx from Cartesian coordinates to spherical coordi-

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Q: V18-x2-y Convert (x² + y + z?)dzdxdy into spherical coordinates. 2n/3 3V2 4 p* cos pdpdpdO /2 -n/2

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Q: Match the surface to its corresponding equation in spherical coordinates. 37 4 -3 -2 -1 0 1 2 3 3…

A: To solve this we have to find the relation of equation

Q: V4-y? '8-x²-y² By converting to spherical coordinates, evaluate 2? dz dx dy.

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Q: Which of the following is the rectangular coordinates of the point which is given by cylindrical…

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Q: 16-y Convert (z² + y² + z²)dzdrdy into spherical coordinates.

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Q: Find and equatin for the parabolid z = x^2+y^2 in spherical coordinates

A: Given query is to find equation of paraboloid in spheo coordinates.

Q: Find the spherical equation of the Cartesian equation x? + y2 +(z - 46)² = 46². O a. rho = 46…

A: The Cartesian equation is  x2+y2+(z-46)2=462

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 the spherical equation of the Cartesian equation x2 + y2 +(z - 37)2 = 37². a. rho = 37 cos…

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Q: 2. Convert 1,1, 2 |from rectangular coordinates to spherical coordinates. a. e. я я 2. 4' 2 4' 4 (2)…

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Q: Write the equation in spherical coordinates. (a) 2x2 – 3x + 2y2 + 2z2 = 0 (b) 5x + 4y + 7z = 1

A: To write the given equations in spherical coordinates a 2x2-3x+2y2+2z2=0(b) 5x+4y+7z=1

Q: (c) Evaluate zdz dy dr using spherical coordinates.

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

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

A: Explanation of the answer is as follows

Q: 2.1 Convert the following Cartesian points to cylindrical and spherical coordinates: (a) P(2,5, 1)…

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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: Q2:- Find the parametric equations for the following Cartesian equations. 1) x=(/y² + 4 + 2) 2) 4x2…

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Q: Convert the equation written in Spherical coordinates into an equation in Cartesian coordinates Csc…

A: We have to convert spherical coordinate into Cartesian coordinates.

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

A: Given the equation:

Q: 5. Evaluate /9 z² y² yVx² + y? + z² dzdrdy by converting to spherical coordinates.

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Q: Which of the following is the spherical coordinates of the point (0, 3, 1) which is given by…

A: In spherical coordinates  r= sqrt(x2+y2+z2). Theta= arctan (sqrt(x2+y2)/z). phi = arctan(y/x)

Q: Use polar coordinates to evaluate 2/2 dydx. 3 1 0, (x²+y?)? O 5 Оз 6 O 2 O 1 O 4

A: To determine: The value of the integral  using polar coordinates, ∫12∫0x22x2+y232dydx.

Q: Evaluate: , S 9-2²-y? x² dz dy da, using cylindrical coordinates. 3 245 243 245 243

A: As we know that the cylindrical coordinates: x=rcosθ;y=rsinθz=z x2+y2=r2 dydx=rdrdθ Given:…

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

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Q: Convert the following Cartesian points to cylindrical and spherical coordinates: (a) P(2, 5, 1) (b)…

A: Solution:-

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: Which of the following is the spherical coordinates of the point (0, V3, 1) which is given by…

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Q: Write the equation in spherical coordinates. 2x2 - 3х + 2y2+ 22? (a) = 0 3p(p sin(p)cos (0)) 2 2х +…

A: Consider the following spherical coordinates.

Q: Convert the equation written in Spherical coordinates into an equation in Cartesian coordinates. csc…

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Q: 1. Consider a point in Cartesian coordinates given by (-2, 2v3, 4). (a) Find a corresponding…

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Q: Find an equation equivalent to x²+ y² + 2z²+ 2z - 5 =0 in spherical coordinates.

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Q: Convert the following rectangular equation: x^2 + y^2 = z^2 into spherical coordinates.

A: Given equation is x2+y2=z2  ....1

Q: Find the spherical equation of the Cartesian equation x2 + y? +(z - 23)2 = 23?. o a. rho = 23 cos…

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Q: Convert the following point from rectangular to spherical coordinates: -5/2 -5/6 -5/2 4 4 (p, 0, 4)…

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

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

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: 4-x²-y² ) Use spherical coordinates to evaluate ,L /x² + y² + z²dzdydx.

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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: Match the equation (written in terms of cylindrical or spherical coordinates)  = 5, with its graph.

A: Solution: Consider the general equation of the sphere is x-a2+y-b2+z-c2=r2 we have a relationship…

Q: c) Use spherical coordinate to evaluate V1-x2 1 Vx2 + y? + 22 dz dy dr.

A: The given problem is to evaluate the given triple integral using spherical coordinates, we have to…

Q: 5. Use spherical coordinates to evaluate LIVE √√= ²+ y² + 2² dz dy dr.

A: Given ∫-44∫-16-x216-x2∫x2+y24x2+y2+z2 dzdydx

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…

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.