Part a) Convert the equation z = 3x2 + 3y2 to spherical coordinates. Part b) Describe in plain English the surface formed by graphing the equation z = V3x? + 3y?.

Q: Sketch the set of points (described in spherical coordinates). ρ = 4

A: Sketch the set of points (described in spherical coordinates). ρ = 4

Q: Write the equation of Spheres with radius R.

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Q: Explain how spherical coordinates are used to describe a point in ℝ3.

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Q: Explain why in spherical coordinates the graph of = c is a half-plane and not an entire plane.

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –3, 4) Radius:…

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Q: The cylindrical coordinates of a point are

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Q: Find the standard equation of the sphere with the given characteristics.

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Q: Determine the parametric equations of the curve of intersection of the ellipsoid 4x² + y² + 42² = 4…

A: To find: Parametric equation of the Intersections of the curves  4x2+y2+4z2=4 and y2=x2+2z2.

Q: Consider the point (1, 7/4, t/3) in spherical coordinates. (a) Plot the point, labeling each length…

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Q: Graph the surface whose spherical equation is p = 1– sino.

A: We use maple software to graph the given surface.

Q: 4. For each equation of a surface given in spherical coordinates, sketch the surface and describe it…

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Q: Use the parametric equations of an ellipse, x=4cos(theta), y=3sin(theta), 0 less than or equal to…

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Q: 9. Identify the surface whose equation in spherical coordinates is given by

A: We have to solve given to problem:

Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Solution: The objective is to find the standard equation of the sphere

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

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Q: radiation is focused to an unhealthy area in a patient’s body using a semi elliptical reflector,…

A: Given that width of the reflector=100cm          And height of the reflector=30cm Here the foci lie…

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

A: Given rectangular equation can be written as x2-y2-2z2=0. The co-ordinates in terms of spherical…

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 spherical coordinates for the surface represented by the rectangular equation.…

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Q: Convert from cylindrical to rectangular coordinates. 5, (х, у, 2) %3D

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Q: 1-sketch the following hyperboloid z² – x² – y² = 1 %3D

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Q: Find the equation of the sphere in standard form that satisfies the given conditions. center C(-1,…

A: Equation of sphere  standard form of sphere equation

Q: A searchlight is shaped like a paraboloid of revolution.If the light source is located 2 feet from…

A: draw the parabola used to form the searchlight on a rectangular coordinate system so that the vertex…

Q: Find the spherical equation for the hyperboloid of two sheets x² – y² – 2² = 1.

A: Given information :  Equation of hyperboloid of two sheets x2-y2-z2 = 1

Q: Show by eliminating the parameter θ that the following parametric equations represent a hyperbola: x…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: What are the rectangular coordinates of the point whose spherical coordinates are (2, 응까, -3짜) ? x =…

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

A: given that the rectangular equation y=2

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, =7,2) Radius:…

A: Explanation of the answer is as follows

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

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 9) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics - Center: (3, −2, 6);…

A: We have to find the standard equation of the sphere where, center is given as 3, -2, 6 and radius is…

Q: Find equations for the sphere whose centers and radii are given in center(1,2,3) radius sqrt(14)

A: To determine the equation of a sphere.

Q: Find the standard equation of the sphere with the given characteristics. Endpoints of a diameter:…

A: Given endpoints of a diameter of sphere is 2,1,3 and 1,3,-1. The standard equation of sphere is…

Q: Please help me with this problem

A: Parametric equation:

Q: In a right spherical triangle ABC, B=90°. Using Napier’s first rule, what is the simplified form of…

A: There are two Napier's rules that are used to solve the right spherical triangles.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, –3, 5) Radius:…

A: Given that: Centre of the sphere, (h,k,g)= (-1, -3, 5) and radius, R=6

Q: The spherical coordinates of a point P are given by (2, coordinates of the point P are -). The…

A: The relationship between the rectangular co-ordinate  (x,y,z) of the point P and its spherical…

Q: Use the parametric equations of an ellipse, x = 2 cos(8), y = 3 sin(8), 0 < 0 < 27, to find the area…

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Q: Is this true or flalse? In spherical cooordinates, the graph of the surface with equation φ = π/2 is…

A: Spherical coordinate

Q: find the standard equation of the sphere with center (4,3,3) and radius 7

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Q: Write the sphere equation x^2 + y^2 + z^2 + 2x - 2y -2z = 33 in standard form, and hence find the…

A: x2 + y2 + z2 + 2x -2y - 2z = 33To Find: The center and the radius of the sphere.

Q: A satellite dish is shaped like a paraboloid, with the receiver placed at the focus. It is to have a…

A: The base of the dish is the vertex of the parabola. The parabola is upward oriented. Let the vertex…

Q: The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid that has…

A: Given, The interior of a satellite TV antenna is a dish having the shape of a (finite) paraboloid…

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: What are the coordinates of the highest point where the circular cylinder intersects the Elliptical…

A: We will use lagranges multiplier theorem to find heighest point

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.