YouTrylt 1 Sketch the graphs of the equations given in cylindrical coordinates. (a) r =1 (b) 4 (c) = =1 - ,?

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: 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: 1. Convert the equation of the sphere : x + y +6y+z? = 0 Into. a) Cylindrical coordinates (An…

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

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Q: 4-x² –y² b.) z dz dy dx -VI¬x² J /3x²+3y? from Cartesian coordinates to spherical coordinates.

A: We need to find the geometry of the given integral.  Then find the limits in terms of spherical…

Q: III. Find a set of parametric equations for the curve of intersection of the cylinder (x-1)² + ² x²…

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Q: 4) A cylindrical coordinates equation for the cone z² = ²+1/² is: a. z² = 97² b. 9z=r c. 9z² = 7² d.…

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Q: Write the equations in cylindrical coordinates. (a) 7x + 5y +z 2 z-2-(5 sin(0) +7 cos(8)) (b) -3x-3y…

A: To convert the given equation to cylindrical coordinates we have to put the value., x = rcosθ y =…

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

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Q: 8. Find the positive constant a(> 0) so that the parametric equation: x = at, y = -t? is a solution…

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Q: (a) 0 = /4 in cylindrical coordinates (b) r = 5 in cylindrical coordinates (c) ø = T/3 in spherical…

A: The graph for part (a) is

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

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Q: 1. Describe the graph of x² +y? +(z-7) = 49 2. Give the equation of the above graph BOTH in…

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Q: Find an equation of the form z = f (r, θ ) in cylindrical coordinates for z^2 = x^2 − y^2.

A: z2=x2-y2

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

A: Cylindrical co-ordinates of the point P are (r,θ,z) rectangular co-ordinates of the point P are…

Q: Consider a particle traveling clockwise on the elliptical path                              x2/ 100…

A: Given: x2100+y225=1  or  x2102+y252=1 Leaving point of the particle from the orbit (−8,3)

Q: Let x²+y? -6y = 0 be the equation of a surface S in xyz-rectangular coordinates. Give the equation…

A: We are given Equation of a surface S : x2+y2-6y=0 ---(1) To write this Equation  in the cylindrical…

Q: 4-72-2 2. z dz dy dx 3r2+3y2 from Cartesian coordinates to spherical coordinates.

A: Given Integral is converted from Cartesian to Spherical Coordinates

Q: Match the surface to its corresponding equation in cylindrical coordinates. 37 4 4 - 2 4z 2 r2 = 3z…

A: Diagram C : θ=3π4 Diagram B: r2=4-z2

Q: 3 3 Let P be a point in R³ with rectangular coordinates (,,-13). v3). 2 (a) Give the cylindrical…

A: For cylindrical coordinates (r,theeta,z) r^2 = x^2+y^2 tan (theeta) = y/x  z=z

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

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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: 4-22-y2 Compute y? Vx2 +y? + z² dz dx dy by converting to spherical 4-x2- coordinates.

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Q: Vi-x² 2-x²-y² Change Vr +y² dz dy dx into cylindrical coordinates, then evaluate.

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

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

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Q: The cylindrical equation z = r2 represents which of the following? O a paraboloid O a semisphere O a…

A: The cylindrical equation z=r2

Q: x2-y는 군.Give the spherical coordingtes.

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Q: Try to sketch by hand the curve of intersection of the parabolic cylinder y = x² and the top half of…

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

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Q: Which of the following is the cylindrical coordinates of (-1, 3, -2)? O a. (2, 플, 2) O b. (4, 품,-2)…

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Q: 1. Use the parametric equations of an ellipse, x = a cos 0, y = b sin 0, 0 < 0< 27, to find the area…

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Q: Find an equation in cylindrical coordinates for the equation given in rectangular coordinates. (b)…

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Q: Find an equation in rectangular coordinates for the equation given in cylindrical coordinates. e =…

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Q: Find an equation for the paraboloid z = x2 + y² in spherical coordinates. (Enter rho, phi and theta…

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Q: Answer TRUE or FALSE Cartesian coordinates equations of x² +(y-1) =1 is r=2cos0 in cylindrical…

A: Topic:- Cartesian to cylindrical coordinate

Q: a. Show that when you express ds² = dx² + dy² + dz? in terms of cylindrical coordinates, you get ds²…

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Q: Find a set of parametric equations for the curve of intersection of a paraboloid x² + (y − 2)² = z…

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

A: r2cos2θ+z2+1=0

Q: Let r²+y?-6y = 0 be the equation of a surface S in ryz-rectangular coordinates. Give the equation of…

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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: . Find the cylindrical equation for the ellipsoid 4r² + 4y² + z² = 1.

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Q: Find an equation in rectangular coordinates for the equation given in cylindrical coordinates. r =…

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Q: Find an equation for the paraboloid z = x2 + y? in spherical coordinates. (Enter rho, phi and theta…

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Q: Change the spherical equation below into cylindrical coordinates! tan2(Φ) = 1

A: Any point in the cylindrical coordinate system is represented as r,θ,z . Any point in the spherical…