Write the equation  x2 - y2 - (z-1)2 = 9 in cylindrical system . Which surface does it represent? Give its specifications briefly.

Q: Find an equation of the sphere that passes through the origin and whose center is (3, 1, 4).

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 7) Radius:…

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

A: Given:Center : (-1,-2,9)Radius: 7We will find the equation of the sphere

Q: Find the standard equation of the sphere with the given characteristics. ...... Center: (-1, -3, 7)…

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Q: write the rectangular equation x=y^2 in cylindrical form and solve for r

A: To go from rectangular to cylindrical form we have to use the form

Q: Write the equation  x2 - y2 - (z-1)2 = 9 in cylindrical system . Which surface does it represent?…

A: Convert into cylindrical representation.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -7, 4) Radius:…

A: Given radius of circle is 9.  And center is (-1,-7,4).

Q: The system of conics has two solutions. (z – 4) + (y+1)* = 9 (9+1) 1. +- 81 What are the solutions…

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Q: Two children weighing 18 and 20 kilograms are sitting on opposite sides of a seesaw, both 2 meters…

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Q: Write the equations in cylindrical coordinate (a) 8z = 5x2 + 5y2 (b) 3x2 + 3y2 = 2y

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Q: ind the points on the ellipse  5x2 + y2 = 5  that are farthest away from the point (1, 0). smaller…

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

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -4, 5) Radius:…

A: topic - standard equation of sphere

Q: How do you write an equation of a sphere with a given center and radius?

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Q: Find the equation of a sphere whose center is on line 5y+2z=0=2x-3y and passes through point…

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

A: We are given: Centre: (-1, -3, 5)Radius: 7 We need to find the standard equation for the sphere with…

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

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Q: Which figure represents a three-dimensional solid with only one face?

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Q: Write the equation 5x2+10y-z=5 in cylindrical coordinates.

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Q: Solve the system -2 2 dx dt -4 2 with x(0) %3D -2 Give your solution in real form. %3D 22 = %3D An…

A: The given problem is to solve the matrix differential equation with given initial condition.

Q: find the perimeter of the ellipse x2/a2 + y2/b2 = 1.

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 9) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 7) Radius:…

A: Given the centre and radius and we have to find the standard equation of sphere

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -3, 8) Radius:…

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Q: Standardize the conic whose equation is 7x2 + 4xy + 4y2 - 2x - 6y + 1 = 0.

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Q: Classify the conic section of each equation.  Explain how you made your decision. 13. 4x2 + 3x = y2…

A: Topic = Conic section   The equation of every conic can be written in the following form:   Ax2 +…

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1,-6, 8) Radius:…

A: Given center and radius

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 5) Radius:…

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

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Q: Which conic section is represented by the equation 2x2 + 4x -y + 9+0

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -6, 3) Radius:…

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -5, 2) Radius:…

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Q: Write the equations in cylindrical coordinates. (a) 4x² + 4y² - z² = 9 (b) 7x - y + z = 3

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Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 5) Radius:…

A:

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -9, 3) Radius:…

A: To find the standard equation of sphereCenter: -1, -9, 3Radius: 4

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -8, 8) Radius:…

A: Let's find.

Q: Find the standard equation of the sphere with the given characteristics. Center: (-1, -2, 4) Radius:…

A: Equation of sphere

Q: Which conic section is represented by the equation 2x2 + 4x - y+9= 0?

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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: Write the equation of the hyperbola 25z – 16y + 150z + 64y- 239 = 0 in standard form %3D (2 - h) (y-…

A: Equation of hyperbola 25x2+ 150x-16y2+64y-239= 0 25( x2+6x)-16(y2-4y)= 239…

Q: Write the equation  x2 + z2 -(y-1)2  = 0 in cylindrical system . Which surface does it represent?…

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Q: 10. 25x2 - 9y2 = 144           11. x2 + y2 = 225           12. x2 + 3y2 = 3

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Q: Determine the center of the conic of equation: 16x² + 128r + 49y² + 588y = -1236. A) (4,6) В) (-4,…

A: Brief explanation of the answer is below.

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

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Q: Write x²-y²-(z-1)²=9 in cylindrical system and what surface does it represent

A: A given point P (x, y, z) in rectangular coordinate. Now in a cylinder coordinate system, a point is…

Q: write the equation x^2-y^2-(z-1)^2=9 in cylindrical system , which surface does it represent ? give…

A: To determine the cylindrical form of the equation.

Q: write the equation x^2+z^2-(y-1)^2=0 in cylindrical system. which surface does it represent

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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.