For the following cylindrical coordinate (r, 0, z) of a point, find its associated spherical coordinates (p, 0, p). -57 (2, -2) 4

Q: Which of the following is the cylindrical coordinates of (–1, /3, –2)? O a. (2, 5,–2) O b. (4, 5,…

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Q: Match the surface to its corresponding equation in spherical coordinates. |p = 4 cos() 1.5 -1 -0.5 0…

A: To match the given surface to their given Equation in spherical coordinates.

Q: Find an equation in rectangular coordinates for the surface represented by the cylindrical equation…

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

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…

Q: Use cylindrical coordinates to evaluate each of the following: 1. SS, z³dxdydz, where T: 0 < x < 1,…

A: Given problem  ∫∫∫T sinx2+y2 dxdydz     where  T :   0≤x≤1 ,0≤y≤1-x2  , 0≤z≤2

Q: Use spherical coordinates. Evaluate ∭z dV, where E is between the spheres x ^ 2 + y ^ 2 + z ^ 2 = 16…

A: Triple integral is used to integrate function of three variable in three dimensional region.

Q: Which statement about cylindrical coordinates is correct?(a) If θ = 0, then P lies on the z-axis.(b)…

A: About Cylindrical coordinates

Q: Express the following points in cylindrical and spherical coordinates: (i) P(l, -4, -3); and

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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: Which of the following surfaces cannot be described by setting a spherical variable equal to a…

A: Given,ρ=k , ϕ= k , θ=k To check which one of the given surfaces cannot be described in the above…

Q: Find a parametrization, using cos(t) and sin(t), of the following curve: The intersection of the…

A: TO FIND THE PARAMETERIZATION USING COS(t) and SIN(t) GIVEN - Plane  y=3 and  given sphere intersect…

Q: Which of the following is the cylindrical coordinates of (-1, 3,-2)? Oa (2, 즐,-2) O b. (2, ,-2)…

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Q: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  z 2…

A: Coordinate systems are used to define the position of a point on an n-dimensional system. Some of…

Q: Which of the following is the cylindrical coordinates of (-1, -/3,2)? O a. (2, 품, 2) O b.(2, – 5, –…

A: Explanation of the answer is as follows

Q: Use spherical coordinates. Evaluate (x2 + y2) dv, where E lies between the spheres x² + y2 + z² = 9…

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Q: Find a spherical coordinate equation for the cone Z =Vx² + y2? Select one: а. 4 b. TT 4 С. 4 d. Non…

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Q: Find an equation of the form p = f (0, $) in spherical coordinates for the surfac z = 8

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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: 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: When written in cylindrical coordinates, the equation (x + y')2 = 1 is (a) r = 1. (c) r' cos'0 = 1.…

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Use spherical coordinates. Evaluate |/| (x2 + y²) dv, where E lies between the spheres x2 + y2 + z2…

A: For spherical coordinates: x = ρ sinφ cosθ, y = ρ sinφ sinθ z = ρ cosφ. So,       x2+y2=ρ sinφ…

Q: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  z =…

A: To convert z=x2+y2, in spherical coordinates, substitute z with ρ cosϕ, x with ρ sinφ cosθ and y…

Q: Identify and sketch the following set in cylindrical coordinates. {(r,0,z): 3r szs 3}

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Q: find an equation of the form ρ = f (θ , φ) in spherical coordinates for the following surfaces  x2…

A: Solution:- x2-y2=4 x=ρ sinφ cosθ y=ρ sinφ sinθ   ρ sinφ cosθ2-ρ sinφ sinθ2=4 ρ2 sin2φ cos2θ-ρ2 sin2φ…

Q: For Exercises 5-7, write the given equation in (a) cylindrical and (b) spherical coordinates. 5. x²…

A: 6. Consider the equation x2+y2=2y. (a) Cylindrical coordinates: The relation between cartesian…

Q: What is the cylindrical equation of the surface whose spherical equation is p = 4? Select one: a. r²…

A: Let us consider spherical coordinates ρ,θ,φ and cylindrical coordinates r,θ,z. Conversion of…

Q: find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces.…

A: Given: The surface, x2+y2+z2=4.

Q: In changing variables to spherical coordinates, the dV in I f(2, y, z) dV becomes o dp do do. Cos

A: The volume element on conversion to spherical coordinates becomes dV = ρ2sinϕdρdϕdθ

Q: Exercise 2 Use spherical coordinates to evaluate f[[(9-x² - y³ ) dV , where E is the solid…

A: Introduction: When we perform a triple integral over a spherical region, it is convenient to follow…

Q: The cylindrical equation z = r2 represents which of the following? O a paraboloid O a semisphere O a…

A: The cylindrical equation z=r2

Q: Find the cylindrical equation for (x-4)² + y² = 4². O a.r = 8 cos (theta) o b.r = 0 c. theta = 6.28…

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Q: Which of the following is the cylindrical coordinates of (-1, –/3,2)? O a. (4, 품, 2) O b. (2, 플, 2)…

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Q: Find a parametrization, using cos (t) and sin(t), of the following curve: The intersection of the…

A:

Q: Use spherical coordinates. Evaluate ||| (x² + y²) dv, where E lies between the spheres x2 + y? + z²…

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Q: Find a spherical coordinate equation for the sphere x² + y? + (z – 1)² = 1

A: All real numbers can be represented on a line called the number line. The number zero corresponds to…

Q: Convert the following point from cylindrical to rectangular coordinates: (* ). 11a 6, (x, Y, z) =…

A: The given point in cylindrical coordinates are   6,11π6,9. We know that if cylindrical coordinates…

Q: The object shown in the figure is axially symmetric and its curved surface is described in…

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Q: c) Use spherical coordinate to evaluate x dz dy dr 4-x²-y²

A: Sketch the region and find range of variable

Q: The r in cylindrical coordinates must be positive or zero. O True O False

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Q: The object shown in the figure is axially symmetric and its curved surface is described in…

A: To calculate the volume of the solid bounded by below surface for 0≤z≤4. r=−z+4

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

A: We will use the conversation formulae from rectangular to spherical coordinates.

Q: Convert the following point from cylindrical to rectangular coordinates: (x, y, z) = (5.5.-9) 5, 2

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Q: 5. Use spherical coordinates to evaluate [[[ (x² + y² + 2²) ² dv D where D is the solid hemisphere…

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Q: Consider the spherical surface E with center at C= ( 4, 3, 2 ) and radius 4 . Let π be the tangent…

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

A: Cylindrical to rectangular transformation is made by following rule,

Q: Answer true or false in spherical coordinates X,Y,z J p² sin p

A: Given: Jx,y,zρ,φ,θ=ρ2sinφ As we know that; The cylindrical coordinates; x=ρsinφcosθ,…

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

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Q: Given the cylinder (M): (x + 1)² + (y – 1)² = 2. (M) can be presented in cylindrical coordinates as:…

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Q: In cylindrical coordinates, the set {(r, 0, z): 0<r< 1, 0<0 <T, -1 <z < 1} is (a) a full right…

A: In the given cylindrical coordinates, r,θ,z Radius of the cylinder lies between 0 to 1. r=0≤r≤1r=1…