Q3//A:- Verify that dV = p² sin p dp d0 do when using spherical coordinates.

Q: (c) dz dy dx

A: Let's find.

Q: Convert the following point from rectangular to cylindrical coordinates: (-2, 2v3, 10). (r, 0, z) :

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

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

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

Q: Q3// B Verify that dv3p'sin Ddpd@d owhen using spherical coordinate

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

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Q: 8-a2-y By converting to spherical coordinates, evaluate 2² dz dx dy

A: Let us consider the rectangular coordinates (x,y,z) then the relation between spherical coordinate…

Q: Which of the following is the cylindrical coordinates of (-1,-V3,2)? Oa (4, 품, 2) O b. (2, 5,2) O…

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Q: Integrate by changing to polar coordinates. (4 - x2 tan V 4 -1(Y) dy dx

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Q: 4. Integrate L e-° dxdy by converting to polar coordinates, and ase that result to integrate J e dx.

A: This problem is convert to pollar form and then solve so,......

Q: Use spherical coordinates to evaluate -VE 0 Vx? + y? +z? dz dx dy

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Q: Express x2y2+ z2 = 2z in cylindrical and spherical coordinates.

A: Given,

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

A: triple integral

Q: 2. By changing to cylindrical coordinates, evaluate 2 2π Stt. [²* * cos p² sin³ o dp do dô 0

A: To Evaluate: The integral ∫02π∫0π/4∫02/cosϕρ4sin3ϕ dρdϕdθ by converting it to cylindrical…

Q: Use spherical coordinates to find [[[, z2 dV.

A: In this question, we find the triple integral by using spherical coordinate with a sketch of solids

Q: Use spherical coordinates to find phi. Z=3sqrt(x^+y^2)

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Q: Use spherical polar coordinates to evaluate LLEN V4-x2 x² + y2 + z² dz dy dx. -V4-x2

A: Solution is given below:

Q: 2. Convert the following from Spherical Coordinates to Cylindrical and Cartesian Coordinates: (b)…

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Q: 3. Express the equation y = mx + b, where m and b are constants, in plane polar coordinate.

A: Note: We’ll answer the first question since the exact one wasn’t specified. Please submit a new…

Q: (c) Evaluate zdz dy dr using spherical coordinates.

A: Triple integral is used to integrate the function of three variable over the three-dimensional…

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

A: We have to represent a differential element.

Q: Integrate by changing to polar coordinates. '3 8x dx dy

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Q: 2. Convert the point (V6, , V2 ) from cylindrical to spherical coordinates. (a) (V2,플, ) (b) (vz. )…

A: Option C is correct answer.

Q: Convert the following point from rectangular to cylindrical coordinates: (-2/3, 2, 3). (r, 0, 2)

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

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

A: We have to find out  spherical coordinate

Q: Convert the following from Spherical Coordinates to Cylindrical and Cartesian Coordinates: (a) (2, -…

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

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

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Q: Express the equation z = rroot2 cos2tita, which is given in cylindrical coordinates, in…

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Q: rt the point from rectangular coordinates to spherical (-3, -3, V2) 1) , 4) =

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Q: Convert the point from rectangular coordinates to cylindrical coordinates. 11. (0,5,1) 12.…

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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: 2. Convert the cylindrical coordinates [2, 1/6, –2] to Cartesian coordinates and to spherical…

A: We have to find the coordinates

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

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

A: We have to find the transformation

Q: Express the point (x, y, z) = (-2, 2, 2/2) in spherical coordinates.

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Q: 2. Convert the point (V6, , v2) from cylindrical to spherical coordinates. (e) (2VZ,품, 끌) (d) (vZ )…

A: The solution is given as

Q: Transform the vector C = cospâ – sinpô + cospsinp2 into spherical coordinates and then evaluate it…

A: Given cylindrical co-ordinates system as                                               we know that…

Q: 它们也称 Use spherical coordinate to evaluate Vr² + y² + z² dz dy dx. 0,

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Q: Question 7 Evaluate the triple by using cylindrical coordinates. LL x²+y)dzdydx

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

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Q: Use Spherical coordinates to evaluate Cx*+ ya+22)² dV where Bis the B. ball with anter at the ongin…

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Q: 5. Convert the integral 9-x2 9-x²-y² Vx? + y? + z² dzdydx to spherical coordinates then evaluate.

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Q: Evaluate | xz dz dy dx by changing to spherical coordinates.

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Q: √1-x² 16 By changing to cylindrical coordinate, evaluate So So √x²+y2x² dzdydx

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Q: 5. Use spherical coordinates to evaluate LIVE √√= ²+ y² + 2² dz dy dr.

A: Given ∫-44∫-16-x216-x2∫x2+y24x2+y2+z2 dzdydx

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

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Q: Find an equation for the paraboloid z = 2 – – (x² + y²) in cylindrical coordinates. (Type theta for…

A: Given: - The equation is, z=2-(x2+y2) To find: -The equation for the paraboloid in the cylindrical…

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…