What is the cylindrical equation of the surface whose spherical equation is p = 4? Select one: a. r² + z²: 2 b. r +z = 16 2 C.r +z = 4 d. Non of them 2 2 e.r +z = 8

Q: This exercise refers to the ellipsoid 4x² + 49y² + 28z² = 392. Vĩ. Find an equation of the…

A: Let's find.

Q: Find an equation of the form p = f(0, $) in spherical coordinates for the surface z3 = 4(x2 + y2)…

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Q: . Determine the area of the surface with parametric equations a = 2u?, y = v², z = 2uv, 0 <u < 3, 0…

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Q: Consider the sphere x2 + y2 + z? = 4. In cylindrical coordinates this sphere can be expressed as r2…

A: Given Sphere is x2+y2+z2=4 Explanation of sphere in cylindrical and spherical coordinates

Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation x2…

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Q: Choose the equation that represents the graph of the cylindrical surface below O a² + z² = 1, y = 5…

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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: 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

Q: Consider the ellipsoid 4x? + y?+ 222 = 25. Find all the points where the tangent plane to this…

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Q: Evaluate fff 1- x2 - y2-z2 dx dy dz where V is the volume of the sphere x? + y? + z2 = a? by…

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Q: 2.a. Write the equation of the surface r? + y? = 4y in cylindrical coordinates. b. Classify the…

A: To convert to the cylindrical coordinates, we need to make the following substitutions: x=rcos(θ);…

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

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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: Use cylindrical coordinates to valuate fff, z dV where E is enclosed by the paraboloid z = x² + y?…

A: To evaluate ∫∫∫Ez dV E is enclosed by the paraboloid z=x2+y2 and the plane z = 16 z is bounded by r2…

Q: (a) The moment of inertia of a surface about the z axis is given by the formula I (le x2 + y? dS.…

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Q: ns are pre uestionnaire). Box Luck!!! Question 46 Which of the following best describes the surface…

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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: Find the angle between the two planes 3x + 2y − z = 7,  x − 4y + 2z = 0 and find a set of parametric…

A: Known fact: The angle between two planes a1x+b1y+c1z+d1=0  and a2x+b2y+c2z+d2=0 is given by…

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

A: We have z=x2+y2-4we need to convert (x,y,z) ≡(ρ,θ,z)where ρ =x2+y2θ =tan-1yxz=z

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

A: Given:y2=10-z2r2=x2+y2x=r cosθy=r sinθz=z

Q: For each of the following cases in cylindrical coordinates, explain the types of surface you get.…

A: a) When z is constant, the obtained surface will be a plane parallel to x,y,0

Q: Find a parametrization and the equation associated with the cylindrical surface whose directrix and…

A: answer is in step 2

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: 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: Find the equation of the surface in spherical coordinates. x^2+y^2+z^2=2z

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Q: Match the surface to its corresponding equation in cylindrical coordinates. 37 4 4 - 2 4z 2 r2 = 3z…

A: Diagram C : θ=3π4 Diagram B: r2=4-z2

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

A: Given,  The equation of the surface by cylindrical equation r=3,  To convert a cylindrical equation…

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

A: To find an equation in rectangular coordinates for the surface represented by the cylindrical…

Q: The surface 22 = x² +y? – 4x + 5 remains unchanged when rotated about the line L in R³ Which of the…

A: The given surface is z2=x2+y2-4x+5, which is as shown below: This is a hyperboloid paraboloid.…

Q: Find the volume of the portion of the ball æ² + y² + z² < 1 lying above the plane z = 3/5. (I would…

A: Intersecting point :  x2+y2+z2≤1,   z=35x2+y2+925≤1x2+y2≤452

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

A: We have to convert the following surface into the equation of the form r = f (θ, z) in cylindrical…

Q: Match the surface to its corresponding equation in cylindrical coordinates. 2z 3z %3D = 6 = 36 – 22…

A: To find- Match the surface to its corresponding equation in cylindrical coordinates. r = 2z r2 = 3z…

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

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Q: 1. Given a point (r, 0, z) = (2, 1/4, 1 /3) in cylindrical coordinates, what is its %3D rectangular…

A: We have to find the rectangular coordinates of given point in cylindrical coordinates.   According…

Q: Evaluate: , S 9-2²-y? x² dz dy da, using cylindrical coordinates. 3 245 243 245 243

A: As we know that the cylindrical coordinates: x=rcosθ;y=rsinθz=z x2+y2=r2 dydx=rdrdθ Given:…

Q: Consider a solid cone with radius a and height h. How far from the vertex is its center of mass? For…

A: Given the radius of the cone is a Height of the cone is h Let us solve the problem using centre of…

Q: A cone in cylindrical coordinates has the equation z = Vx2 + y? , so in spherical coordinates its…

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Q: b) Describe the surface with given cylindrical equations a) 0 = , b) r2 + z? = 9, c) z = r %3D %3D

A: The rectangular coordinates are (x,y,z) and the cylindrical coordinates    are related as  These…

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

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Q: Which cylindrical surface below is perpendicular to the yz-plane? O x^2 + y^2 - z^2 = 1 O x = y^2 +…

A: If a cylinder is perpendicular to any plane then it will represent  a circle at a point parallel to…

Q: Consider the following planes: 5x − 4y + z = 1,     4x + y − 5z = 5   (a) Find parametric…

A: Consider the two given planes. 5x-4y+z=14x+y-5z=5 (a) The objective of this part is to find the…

Q: Find an equation of the form p = f(0, $) in spherical coordinates for the surface. x2 - y2 = 36 p =…

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

A: we have to find an equation in cylindrical coordinates for the surface represented by the…

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

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Q: Find an equation of the form r = f(0) in cylindrical coordinates for the surface 6x2 + 6y² = 13. %3D

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Q: The parametric surface R (r, 0) = A = ) = r cos (i + r sin 0j + 0k, for 0 ≤ 0 ≤ 6π, 0 ≤ r ≤ 1, is a…

A: Given parametric surface  R→r,θ=rcosθi+rsinθj+θkfor 0≤θ≤6π, 0≤r≤1

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

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

A: r2cos2θ+z2+1=0

Q: 1. Describe in words the surface represented by the equation in cylindrical coordinates. (a) 0 = (b)…

A: Consider the provided question, Hello. Since your question has multiple sub-parts, we will solve…

Q: Use cylindrical coordinates to find the vol- ume of the solid that lies within both the 2 cylinder…

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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.