What is the cylindrical equation of the surface whose spherical equation is p = 4? Select one: a. r² + z²: 2 b. r +z = 16 2 C.r +z = 4 d. Non of them 2 2 e.r +z = 8

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: b. Find the projection of v with equation 2x -y + 4z = 0. 1 -3 on the plane

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Q: 0 M) Find the point at which the line with parametric equations X=2+31, y=-41, z z =5+1 intersect…

A: Given:         x=2+3t         y=-4t         z=5+t    plane  4x+5y-2z=18

Q: A particle traveling around the circle (x-2)^2 + (y-1)^2 = 49. Write parametric equations for each…

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Q: 2. Determine the equation of the following function. State your answer as a piecewise function. y 10…

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Q: A sphere, Si is given by the equation: r? + y² + 22 – 2x – 4y + 8z + 17 = 0 (a) Write the equation…

A: (a) Consider the given information. x2+y2+z2-2x-4y+8z+17=0 Now, write the equation in the standard…

Q: Find the equation of the surface of revolution that is generated by rotating the straight line y = x…

A: The surface of revolution that is generated by rotating x=f(y) around the y-axis is x2+z2=f(y)2 so…

Q: Vrite and simplify the following equation in cylindrical coordinates: 3x² + 3y² + 3z² + 2x = 6

A: The Cartesian coordinate equation is

Q: Write the equation 5x2+10y-z=5 in cylindrical coordinates.

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Q: Find the cylindrical equation for the surface whose rectangular equation is x² + y² - 2y = 0.

A: Given rectangular equation is,We have to find cylindrical equation for the surface.

Q: 4. Find the equation of the plane that passes through the point (5, –1,0), and is per- pendicular to…

A: Let's find.

Q: Convert the following point from rectangular to cylindrical coordinates: (4, –4v3, 10). (r, 0, z) =

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Q: 2) Consider two spheres (x - 2)² + (y - 3)² + z² = 1 x² + y² + z² = -8y + 2z + 3 a. What is the…

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Q: Evaluate by changing to spherical coordinates: /2–x²-y² xydzdydx x²+y2

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Q: 1.Solve the following polynomial equations.  a)  2X3+1=x2+2X

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Q: B) (10 M) Find the parametric equation of the line through the point p (-2, 0, 5)- and parallel to…

A: Let's find.

Q: d the distance between the point (2, -4, 3) and the plane 5x – 2y + z = 10

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Q: Q1: Two lines in space {x 1- 2t,y 2 +3t,z =-1+t} and {x = 1+t,y% 3+ 2t,z = -1+3t} find the angle…

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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.