Convert the equation x2 + y2 = 4 to spherical coordinates and write in standard form, solving for p. (Use rho, theta, phi because we don't have those characters on our keyboard.)

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

A:

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

A:

Q: Convert the following point from rectangular to spherical coordinates: -7/6 7V6 7 2 (p, 0, 6) =

A:

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

A:

Q: 1. Convert the rectangular equation r2 + y? – 2ax = 0 to polar form and sket ch its grap %3D

A:

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: Write the equation in spherical coordinates. (a) 7z2 = 5x2 + 5y2 (b) x2 + 2z2 = 7

A:

Q: Eliminate the parameter t to find a Cartesian equation for: 3D² y = 3 + 5t The resulting equation…

A: Given that: x=t2…

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

A:

Q: Write the equation in spherical coordinates. (a) z? = x² + y² (b) x² + z² = 9

A:

Q: Replace the Cartesian equation xy =2 with the equivalent Polar equation.

A:

Q: Rewrite the Cartesian equation y=2x2y=2x2 as a polar equation

A:

Q: Write the equation in spherical coordinates. (a) 5z2 = 8x2 + 8y2 (b) x2 + 3z2 = 7

A:

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: If we convert the point (p, 0, 6) = (6,7/6, 5T/6) from spherical to cartesian coordinates, we obtain

A:

Q: This question has several parts that must be completed sequentially. If you skip a part of the q…

A: We have to find

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

A:

Q: Write the equation in spherical coordinates. (a) 5z? = 3x² + 3y?

A:

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: Q1/ Replace the following polar equation with the equivalent cartesian equations 1. r= 4

A:

Q: 11. Find the polar coordinates of the point that has rectangular coordinates (5V3, -5). Write your…

A: In rectangular coordinates (5,-53) Relation between rectangular coordinates (x,y) and polar…

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

A: Given the equation:

Q: Write the corresponding rectangular equation by eliminating the parameter 0 x = 5 +3 sec 0 y = -3 +…

A: Solving the problem by eliminating the theta.

Q: Convert (5, t/6, t14) from spherical to rectangular coordinates.

A: Solution is given below

Q: (a) Write the equation 3x2 + 3y? +3z2 - 15 = 0 in spherical coordinates (b) What does this equation…

A:

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

A:

Q: Write the equation in spherical coordinates. 9. (a) x2 + y2 +z2 = 9   (b )x2 - y2 - z2 = 1

A: Here we have to write the equation in spherical coordinates. 9. (a) x2 + y2 +z2 = 9   (b )x2 - y2 -…

Q: write the equation x=20 in spherical form and solve for p

A:

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

A:

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

A: Given equation is x2+y2=z2  ....1

Q: Replace the Cartesian equation (x+ 4)² + (y- 2)2 = 25 with equivalent polar eauation

A: Ans :   we will convert this given cartesian equation in polar equation  by putting - x = r cosθ…

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

A:

Q: Write the equation in spherical coordinates. (a) 5z2 3x2 + 3у2

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Convert the equation 5x2 + 2y? = 3z to spherical and cylindrical coordinates.

A: We have the following facts:

Q: (2³² exp(- 4 /2 a 2a a

A:

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 the given Cartesian equation into an equation in terms of polar coordinates.

A:

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 the formula for the distance between the points P1(a1,b1,c1) and P2(a2,b2,c2) given in…

A: First write the given coordinates in spherical coordinates. a1=r cosθsinϕb1=r…

Q: Write the equation in spherical coordinates. (a) x2 + y2 + z2 =9 (b) x2 - y2 - z2 =1

A:

Q: Given the polar equation r2 sin20 = 8, find an equivalent Cartesian equation.

A: Given the polar equation r2 sin 2θ = 8

Q: (d) Convert from spherical coordinates to rectangular coordinate (12, –7/4,0)

A:

Q: The point (2, 7/4, T/3) is given in spherical coordinates. Plot the point and find its rectangular…

A:

Q: Convert the equation x2 + y2 = 1 to spherical coordinates and write in standard form, solving for ρ

A:

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.