Consider the equation. X ²² = ( ² ) ² + ( ² ) ² Choose the graph of the surface that matches the equation. X 8 Z 5 XXX Z y

Q: 2. (a) Show that the points (-2x, 5x), (0, 4x), (6x, x) are collinear.

A: Given that: (-2x, 5x), (0, 4x) , (6x, x)

Q: 2a? + 2y? + 8x + 4y + 8 = 0 is the equation of a circle with center (h, k) and radius r for: h and k…

A: The equation of the circle 2x2+2y2+8x+4y+8=0, we have to find the center and radius of this equation…

Q: Name and sketch the graph of the surface with equation + z2 -÷= 1. In case of quadric surface,…

A: This is 3D analytical Geometry and idea of tracing and calculus.

Q: Find the center-radius form of the equation for the circle with a center of (5, -4) and a radius of…

A: Topic  =Circle

Q: Write the equation of the circle with center at (0, 0) and touching the line 5x – 12y = 52.

A: The standard equation of a circle is represented as (x-h)2+(y-k)2=r2. Where (h, k) is the center of…

Q: Match the equation with the surface it defines.​ Also, identify the surface by type​ (paraboloid,…

A: z2-y2=4x

Q: The surface of a mountain is modeled by the equation h(x, y) = 7500 – 0.001x2 - 0.004y2. A mountain…

A: Given the surface of a mountain is modeled by the equation h(x,y)=7500−0.001x2−0.004y2

Q: What is the standard equation of a circle with center (-2,3), and tangent to the x-axis? 1. (x + 2)2…

A:

Q: 2x² + 2y² + 8x + 4y + 2 = 0 is the equation of a circle with center (h, k) and radius r for: h = and…

A:

Q: Consider the equation (x-13)² + (y-20)² = 25

A:

Q: H.W 1: 1. Find the equation of the circle whose center is (3,2) and which passes through the point (…

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Q: Consider the equation. = X (x ) ² + ( ² ) ² 4 Choose the graph of the surface that matches the…

A:

Q: Write the equation of the circle that is tangent to the y-axis. Its centre is at (-3,5). (x+3)² + (y…

A: given circle is tangent to the y axis given centre is at (-3,5)

Q: x² + y² - 2x + 8y + 8 = 0 is the equation of a circle with center (h, k) and radius r for:

A:

Q: 2x2 + 2y? + 16x + 16y – 34 = 0 is the equation of a circle with center (h, k) and radius r for: -

A:

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: A quadric surface has the equation x² + 2y² + 2z² + 2yz = 1. Write the equation in tandard form.…

A: “Since you have posted multiple questions, we will provide the solution only to the first question…

Q: x² + y² + (z – 2)² = 122

A:

Q: Write the equation of a circle where the center is (-1,2) and a point on the circle is (-6, 2). OA…

A: A circle is the locus of points in two-dimensional space which are equidistant from a fixed point.…

Q: In which variable(s) should you complete the square to identify the surfacex = y2 + 2y + z2 - 4z +…

A: We have to determine which variable should we complete the square to identify the surface…

Q: Center-Radius Form Center 1. (2. 4) 2 (-3, 1) 3. (5, -3) 4. (-1, -2). 5. (-4, -3) Radius General…

A: