Identify the surface with equation 9r? - 4y? + 16z? - 144 = 0. %3D

Q: Convert r 8 csc(0) to an equation in rectangular coordinates in terms of x and y.

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Q: center (2, 6); r = 12

A: We have to find the equation of circle .

Q: Name the surface represented by the equation r2 + z2 = 9. Justify your answer

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Q: How far is the center equation 10x^2 -y^2 -5y -11 to its focus?

A: Note: It is assumed that the equation, 10x2-y2-5y-11 is 10x2-y2-5y-11=0.   The conics are generated…

Q: What are the coordinates of the center of a circle whose equation is x^2+y^2-16x+6y+53=0? A.(8,-3)…

A: Given that the equation of the centre of a circle  x^2+y^2-16x+6y+53=0

Q: complete the square; identify center; sketch: (x^2)+10x+4(y^2)+24y = -45

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Q: name the surface represented by the equation r^2+z^2=4-2z

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Q: Describe in words the surface whose equation is given. p = 5

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Q: Find the centre and radius of the sphere determined by the equation x² + y? +(: -1 = 4

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Q: x² + + =1 y2 9. 4

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Q: Find the center and radius of a sphere given by equation 3x +3y² +3z? =10+6y+12z.

A: We have to find

Q: Complete the square to find the center and radius: x^2+y^2-3x-12y+8=0

A: The objective is to find the centre and radius of the given circle

Q: The equation (x − h)2 + (y − k)2 = r2 is the standard form of the equation of a ________ with center…

A: The equation x-h2+y-k2=r2 is the standard form of the equation of a circle with center (h, k) and…

Q: Describe and sketch the surface in R3 represented by the equation x+y = 2.

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Q: center (0, 4); r = 3

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Q: Find a Cartesian equation for r = 3t – 1, y = 4t + 2.

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Q: Find the center and radius of the sphere with equation (r – 1)? + (y + 4)² + (z+ 6)² = 16 %3D…

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Q: Write the equation for a sphere centered at the point (6, 1, - 3) and has the point (10, - 2, -8).

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Q: What are the two forms of the equation of a circle? Briey describe in words how you would go from…

A: Definition of a Circle   A circle is the set of all points in a plane equidistant from a fixed point…

Q: [24] Complete the square to determine the type of curve represented by the equation: 4x +9y² –16x–…

A: The given question is taken from the conic section in which we have to find out the given equation…

Q: Name the surface represented by the equation r2 + z2 = 4 -2z. Justify your answer

A: r2 + z2 = 4 -2z r2 = x2 + y2 Hence, x2 + y2 + z2 = 4 - 2z

Q: Determine graphically the coordinates of the vertices of the triangle, the equation of whose sides…

A: Given the equations of sides of the triangle are

Q: Find the center and radius of the circle whose equation is x + 8x + y² + 4y – 20 = 0. The center of…

A: Find radius and center of circle :

Q: Find the center and radius of the sphere with equation (æ + 4)? + (y – 4)² + (z + 3)? = 49 Center:…

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Q: Write an equation for the perpendicular bisector of segment with endpoints P(0, 2) and Q(6, -6).

A: 4. Given Data: Endpoint 1: Pxp, yp=P0, 2 Endpoint 2: Qxq, yq=Q6, -6 The perpendicular bisector of…

Q: 2 + (y– 6)² < 2

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Q: center (10, 0); r = 7

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Q: Write the equation for the above surface.

A: The surface represents the cylinder; with circle in the xz-plane. x2 + z2 = 1  (radius of the circle…

Q: Write the standard form equation of the circle. -4 (x 2 + (y 2.

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Q: Find the center and radius of the circle whose equation is x^2+Y^2+4x-6y+2=0

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Q: This is a parallelogram. 16 y-60)° 56 3x+ 4 X = ? *

A: From the given parallelogram we have the value of x.

Q: Find the center and radius of the circle whose equation is x² + 10x + y² – 5y + 4 = 0. The center of…

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Q: Circle the equation that generates the surface shown below.

A: Solution for 9 (a): The equation that generates the given graph is choice (e): x2+y22=z2

Q: Find the Rectangular equation. X-5cos() and y=53in(6)

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Q: Find the surface

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Q: 4x - y² + 32x+6y+39 = 0

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Q: What is the radius and center of the equation x^2-6x+y^2+8y-39=0

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Q: r = 3 csc 0 y = 3

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Q: Convert x + 6x+y-10y-15-0 into the standard form of the equation of a circle. Equation: (x 2+(y…

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Q: Identify the surface with equation o = = 7

A: Spherical coordinates: The point Pρ, θ, φ represents a point in the spherical coordinates, where ρ…

Q: Find the equation of the line passing through the centers of the circles x + y – 4x + 6y + 4 = 0 and…

A: x2+y2-4x+6y+4=0      .......(1)x2+y2+6x+4y+9=0    ..........(2)The equation of the circle is…

Q: 4a. x +4y? +9z? = 36 Name of the surface Y

A: Given:  x2+4y2+9z2=36

Q: Describe and sketch the surface in ℝ3 represented by the equation x + y = 2.

A: The graph is a vertical plane ( that is, perpendicular to the xy-plane) that intersects    the…

Q: Find the centre and radius of the sphere determined by the equation x'+y* +(:-2)° =: 25

A: Given that sphere equation is - X2 + Y2 + (Z - 2)2 = 25 And we find radius and centre of the sphere.…

Q: Convert a = 600 to a Cartesian equation. y = x/2 x = v3y Oy= v3x

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Q: Complete the square to find the center and radius: x^2+y^2-20y+19=0

A: We need to evaluate the center and the radius of the following circle by completing the square…

Q: center (-3, 2); r = V10

A: we have to insert given values in the standar

Q: Write the equation and determine the type of surface obtained by rotating this line around the…

A: When we rotate the given equation around y axis, we got hyperboloid:

Q: The equation x2+y2 - 6x + 2y = b describes a circle. %3D If the radius of the circle is 4 units,…

A: Explanation of the answer is as follows

Q: Identify the surface represented by equation: 9x^2 + y^2 - z^2 + 2z -10=0

A: Given :9x2+y2-z2+2z-10=0

Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.