3 3 Let P be a point in R³ with rectangular coordinates (G,-V3) (b) Give the spherical coordinates of P.

Q: 6. Find the rectangular coordinates of the point (, 5, 7) which is in spherical coordinates. 5T T

A: Any spherical co‐ordinate r,θ,ϕ can be  converted to rectangular co‐ordinates   x,y,z  by…

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: 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: 43/2-x f(x,y,z) dzdydx is rewritten in spherical coordinates as g(p.p,0) dpdwde, then…

A: By integral, x2+y2⩽z⩽43-x2-y2----1 0⩽y⩽43/2-x2------2 0⩽x⩽43/2----------3

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: 3.22 Convert the coordinates of the following points Cartesian to cylindrical and spherical…

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Q: 3 Which of the following is the rectangular coordinates of the point which is given by cylindrical…

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Q: Change from rectangular to spherical coordinates. (Letp2 0, 0 ses 2n, and 0 sp S n.) (a) (0, 5/3, 5)…

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Q: Let a point P has Cartesian coordinates 3 37 2 27 23 If (a, b, c) are spherical coordinates of P…

A:

Q: How do you find the spherical coordinates of the following problem?

A: Given, Triple integral is

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

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Q: Jo Jo Jo 5. Use spherical Coordinates to evaluate Av16 -r² 00O00

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Q: 2.13 Let B = xa̟. Express B in (a) cylindrical coordinates, (b) spherical coordinates.

A: Given    B=x az  As  we know  if       A=Axax+Ayay+Azaz thena  Cylindrical coordinates.     we put…

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

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Q: give the equivalent cartesian coordinates of ρ = π

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

Q: Find an equation of the form p = ƒ (0, 4) in spherical coordinates for the surface z = 16 (Use…

A: The equation in spherical coordinates for the surface is determined as shown below

Q: 1. Consider a point in Cartesian coordinates given by (3√//3, -3,-8). (a) Find a corresponding…

A:

Q: Find an equation of the form p = f (0, 4) in spherical coordinates for the surface z = 3 (Use…

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Q: 9.) Use spherical coordinates to evaluate 3/2 (x² + y² +2²) ³¹² dydzdx. 9-1² √√9-1²-₂² √√√9-x²-2²

A: To find the given integral using spherical co-ordinate system :-

Q: 52 ŞB: 1 ORGÜN CALCULUS II Mühendislik Fakültesi İns Which of the following is the spherical…

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Q: Let P be the point in 3-space with rectangular coordinates (√2, -√2, 2√3). (a) Cylindrical…

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Q: 5n using the pencil. Plot the points with polar coordinates (-6, -a) and 4, 2n 3n SR 2. Jix Sn 4 Sx…

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Q: For spherical polar coordinate system 1 Z -Zr Zr 3/2 4/2 a exp(-()sin OCoso 2a px a V WmdV = 8 = ?…

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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: Change each of the following points from rectangular coordinates to spherical coordinates and…

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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: Let P be the point in R^3 with rectangular coordinates (√2, −√2, 2√3). How to find the cylindrical…

A: We have given rectangular coordinates  (x,y,z) = (√2, -√2, 2√3)

Q: Transform to spherical coordinates: F 102-8ỹ+6ż at point P (10, 8, 6)

A:

Q: 5. Find the spherical coordinates of the point with rectangular coordinates (2, –2, 2/2).

A: We have to convert rectangular coordinates to spherical coordinates.

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

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

A: The equation of the paraboloid z = x2+y2                                       ........(1) To…

Q: Find the spherical equation of the Cartesian equation x2 + y? +(z - 99)² = 992. o a. rho = 198 cos…

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Q: The point (-1, 1, /2) has spherical coordinates (p, ø, 0). Then tan ø Oa. Ob.3 V3 12

A: Use equations x=ρsinφcosθ,y=ρsinφsinθ, and z=ρcosφ. So,             tanφ=x2+y2z       =(-1)2+1223…

Q: 9. (a) Find the equation of the cone 3.x2 +3y2 in spherical polar coordinates. (b) Use spherical…

A: Given

Q: Find the rectangular, cylindrical and spherical coordinates of point P shown in the figure.

A: Spherical coordinates is Rectangular coordinates is cylindrical coordinates is

Q: II. Determine the number of solutions of the right Spherical triangle 1. b= 42°18' B = 42°18'

A: Given: b=42°18' B=42°18'   To determine: The number of solutions of the given right spherical…

Q: Jo Jo Jo x + 2 5. Use spherical coordinates to evaluate AV16-1² 00O00 ..law

A: By using spherical coordinate

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

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Q: Convert the point (x, y, z) = (5, 3, – 1) to spherical coordinates. Give answers as positive values,…

A: Given point : (x,y,z)=(5,3,-1)

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: 18-22-y2 Example 3 Convert x2 + y? + z? dz dx dy into spherical coordinates.

A: We have to calculate the integral by converting it into spherical coordinates…

Q: Convert the Cartesian equation Z z = 6-√√36-x² - y² into spherical coordinates.

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Q: 1. Consider a point in Cartesian coordinates given by (-2,2√/3, 4). (a) Find a corresponding…

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Q: 18-2-y Example 3 Convert 2² + y² + z² dz dz dy into spherical coordinates.

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Q: [4pts] Consider a point in Cartesian coordinates given by (3√/3, -3, -8). a.) Find a corresponding…

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Q: Let m be a positive real number. Then the spherical coordinate equation of (x+m)2 +y2 + z? = m2 is O…

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Q: Let m be a positive real number. The spherical coordinate equation of (x – m)? + y2 + z² = m² is O…

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Q: (6) Let P be the point (1, 1,1) in Cartesian coordinates.

A: our objective is to find the coordinates of p in different co-ordinate system.

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

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Q: et P be the point in R3 with rectangular coordinates (V2, -V2, 2v3). Find: 1. the cylindrical…

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