Q: 1. Convert the equation of the sphere : x + y +6y+z? = 0 Into. a) Cylindrical coordinates (An…
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A: Topic:- sphere equation
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A: Sperical co ordinate
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Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…
A: Given rectangular equation is y = x2
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Q: (1) Show that planes perpendicular to the x-axis have equations of the form r = a sec 0 in…
A: Given
Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…
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Q: Describe the surface with cylindrical equation r=6. Hint The 8 and 2 components of points on the…
A: We have to find the surface whose cylindrical equation is given by : r=6
Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation x2…
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Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation.…
A: In this question we just have to find missing values.
Q: 9. This problem concerns the surface described by the equation (r – 2)² + z² = 1 in cylindrical…
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Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation.…
A: Solution is given below:
Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation x2…
A: We have to convert the given equation x2+y2=16 into spherical coordinates
Q: Find an equation in cylindrical coordinates for the surface represented by each rectangular…
A: Given x2+y2=4z2 It can be compared with the equation of elliptic cone with its axis along z-axis.…
Q: b. z= 4x2 + 4y²
A: The equation describes surface of elliptic paroboloid.
Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation.…
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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: 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 of the form r = f (θ , z) in cylindrical coordinates for the following surfaces.…
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Q: Use cylindrical coordinates to evaluate V9-x² r9-x²-y² a² dz dy dx -3 J- 9-x² Jo Do not forget to…
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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
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A: The given data is: To identify the surfaces: z2=4+4r2
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Q: Find parametric equations for the intersection of the surfaces y = x² and 2x² + y² + 6z² = 24 and…
A: Find out the parametric equations for the intersection of the surfaces y=x2 and 2x2+y2+6z2=24…
Q: Find an equation for the surface of revolution formed by revolving the curve in the indicated…
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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…
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A: To find an equation in rectangular coordinates for the surface represented by the cylindrical…
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Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation.…
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Q: ind an equation in cylindrical coordinates for the surface represented by the rectangular equation.…
A: Given that - The rectangular equation. z = x2 + y2 − 1
Q: H. Evaluate coordinates. 4-y² 4-x²-y² 1 x²+y²+z² So dzdxdy by using spherical or cylindrical
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Q: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation.…
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Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation.…
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Q: Find an equation in spherical coordinates for the surface represented by the rectangular equation.…
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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: Consider the given equation of a surface in cylindrical coordinates. r = 4 Find the equation of the…
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Q: Choose the equation that represents the graph of the cylindrical surface below O2 + y? = 1, = 5 O…
A: We have plotted the graph:- second option
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: Find an equation in cylindrical coordinates for the surface represented by the rectangular equation…
A: Consider the following equation: x2+y2-2z2=5 ...... 1…
Q: The equation of the sphere with radius r = V75 and center C(2,1, – 1) is (a) x² + y² + z² + 4x + 2y…
A: The general equation of a sphere with radius r and center a,b,c is x-a2 + y-b2 + z-c2 = r2
Q: The equation of a surface in rectangular coordinates is given. Find the equation of the surface in…
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Q: For the surface x? + y? = 2z? a) Find an equation in cylindrical coordinates b) Find an equation in…
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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 an equation in rectangular coordinates for the surface represented by the cylindrical equation…
A: r2cos2θ+z2+1=0
Q: Find an equation for the paraboloid z = x2 + y? in spherical coordinates. (Enter rho, phi and theta…
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- Find an equation in cylindrical coordinates for the surface represented by the rectangular equation z = x2 + y2 − 11Find an equation in rectangular coordinates for the surface represented by the cylindrical equation r2 cos 2 + z2 + 1 = 0Find an equation in rectangular coordinates for the surface represented by the cylindrical equation r^2 + z^2 = 4
- Find an equation in rectangular coordinates for the surface represented by the cylindrical equation r = 3, and sketch its graph.Find an equation in cylindrical coordinates for the surface represented by the rectangular equation y = x2Find an equation in spherical coordinates for the surface represented by the rectangular equation x2 + y2 + z2 − 9z = 0
- find an equation of the form r = f (θ , z) in cylindrical coordinates for the following surfaces. x2 + y2 = 4Find an equation in cylindrical coordinates for the surface represented by each rectangular equation. a. x2 + y2 = 4z2 b. y2 = xFind the equation of the surface in spherical coordinates. x^2+y^2+z^2=2z
- Find an equation in spherical coordinates for the surface represented by the rectangular equation x2 + y2 = 2z2Find an equation in rectangular coordinates for the surface represented by the cylindrical equation r = 2 cos , and sketch its graph.Find an equation of the form r = f (θ, z) in cylindrical coordinates for the following surfaces. z = x + y
