Which of (a)–(c) is the equation of the cylinder of radius R in spherical coordinates? Refer to Figure (a) Rp = sin (b) p sin ø = R ( c) ρ-R sin φ d. R FIGURE

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Q: The surface 10x – 9y = z2 can be described in spherical coordinates in the form p = f(0, 4) help…

A: Given 10x-9y=z2

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A: To convert: The equation into rectangular form. Formula used: Convert rectangular into cylindrical.

Q: Question 7 Evaluate the triple by using cylindrical coordinates. ++y)dzdydx

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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

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A: Given:  ∫02∫04-y2∫x2+y28-x2-y2z2dzdxdy we need to find following integeral by using spherical…

Q: 3. Given the function, W=x²+y²-z?, using spherical coordinates equations, find the aw aw dw and дө

A: It is given that, w=x2+y2-z2 It is known, that cartesian coordinates can be written in spherical…

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

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Q: VI-y? rz²+y? I = f(x, y, z) dz dx dy.

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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: In changing variables to spherical coordinates, the dV in I| f(x, y, z) dV becomes p cos o dp do de.…

A: By using formulaes for change of integral from Cartesian to spherical

Q: 6. By converting to spherical coordinates, evaluate 22 dz dx dy. 0.

A: triple integral

Q: the LLE + y² + z*)% dzdydx 2n n 3 to spherical coordinates becomes the form TI sin(4)dpdød® True…

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Q: Identify the surface whose equation in spherical coordinates is given by p= 2 cos o

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Q: Evaluate ∫W z dV, where W is the first-octant portion of the solid sphere of radius 2 centered at…

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Q: In changing variables to spherical coordinates, the dV in J f(x, y, z) dV becomes p² cos o dp do do.

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Q: Verify that dV = p sin o dp de dy when using spherical coordinates. %3D

A: We have to represent a differential element.

Q: Identify this surface, φ = π/3 in spherical coordinates, and find its equation in x, y, z…

A: Identify this surface, φ = π/3 in spherical coordinates, and find its equation in x, y, z…

Q: 9. Show that for a ± 0, the equation p = 2a sino cos 0 in spherical coordinates describes a sphere…

A: Given :  The equation ρ = 2 a sin ϕ  cosθ  .   To determine: The equation ρ = 2 a sin ϕ  cosθ  in…

Q: In spherical coordinates equation for the paraboloid z = 2- x - y is p(cos o- psin? $) = 2 Select…

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Q: Let N be the lower hemisphere of the sphere of radius 5 and let H • Construct dS for 2. Try using…

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Q: Let B = xa,. Express B in %3D (a) cylindrical coordinates, (b) spherical coordinates.

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Q: 5. Use spherical coordinates to evaluate r2+ y2 +22 dz dy dr. 16-

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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: Verify that dV = p² sin y dp de dp when using spherical coordinates. %3D

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

Q: Translate the spherical equation below into a cylindrical equation! tan2(Φ) = 1

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Q: p = 4 cos 0 sin

A: Given: ρ=4cosθsinϕ To Find: Give the corresponding equation in Cartesian coordiantes considering…

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Q: Identify the surface whose equation in spherical coordinates is given by p = 2 cos o %D

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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: Identify the surface whose equation in spherical coordinates is given by p = 8 cos %3D

A: The given equation in the spherical polar co-ordinates is ρ=8cosϕ. In spherical polar co-ordinates,…

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A: The given spherical equation is ρ=4cosθsinϕ To convert the spherical equation to cartesian…

Q: The surface 9z = 7x + 3y can be described in cylindrical coordinates in the form = f(0, z) = help…

A: Given surface 9z=7x+3y We know to convert from cartesian coordinate to cylindrical coordinate, we…

Q: (b) Use spherical coordinates to evaluate l y²dV_where E is the solid hemisphere a? +y² + z² 0. E

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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 the area of the surface generated by revolving about the x-axis the portion of the astroid x2/3…

A: Given Data The equation of an asteroid portion is x2/3+ y2/3=1.   The interval on the x-axis from…

Q: The value of Jacobian in cylindrical coordinate system is given by а. r b. 2 sin e с. d. r sin? 0

A: For the cylindrical co-ordinate system:                           The value of Jacobian can be…

Q: Find the Cartesian coordinates (x,y,z) of a point in space such that its spherical coordinates…

A: Let us consider the point P whose spherical co-ordinates is ρ,θ,φ and satisfies the equation  ρ=θ=φ…

Q: Evaluate the spherical coordinate integral. 7/2 7/3 8 sec 8 sec o Q sin o cos o do do de 5 sec o

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Q: 11.) Find a rectangular equation for the Surface whose Spherical equation is a sin ($) Sin (e)

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Q: Identify the surface whose equation in spherical coordinates is given by p= 6 cos

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Q: A hole is drilled through the center of a sphere x² + y² + z? = R,², leaving a ring-shape solid. If…

A: given sphere x2+y2+z2=R2s and a drill of cylinderical shape x2+y2=R2d use polar coordinate to…

Q: Q3/|A:- Verify that dV = p² sin o dp do dp when using spherical coordinates. %3D

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