Describe the level surfaces of the function. g(x, y, z) = x2 + y? -z? O The level surfaces k = x² + y² - z² for k 0 are a family of parallel planes. %3D O The level surfaces k = x² + y² – z² for k ± 0 are a family of ellipsoids. O The level surfaces k = x2 + y2 - z2 for k 0 are a family of hyperboloids. O The level surfaces k = x2 + y? - z² for k = 0 are a family of hyperbolic cylinders. O The level surfaces k = x + y - z for k 0 are a family of semiellipsoids. The level surfacesk = x2 +y2 - z² for k 0 are a family of hyperbolic paraboloids. %3D

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: The surface of equation = 1 is: 16 A cone A circular cylinder A sphere An ellipsoid O O

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Q: Rind the euetion of the plane Passing thraugn Cl.o.-0g%(-いとり and Parallel to the line of…

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Q: ine the graph of the paraboloid z=x2+9y2. Choose the correct graph of the equation.

A: Given the paraboloid equation is                           z=x2+9y2.

Q: Describe the graph of the equation. r = -17i + (1 –² )j+tk O Itis a parabola in the plane x = - 17,…

A: We will find values of x, y and z .Then find equation of curve

Q: Determine whether the statement is true or false. In R3 the graph of y = x2 is a paraboloid. O True…

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Q: Which of the following is a point of intersection of a circle and an ellipse with the respective…

A: Question is solved.

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

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

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Q: the of coplex nurburt Deseribe and give 13 set %3D 2+14

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Q: z = 8x² + 8y² + 18 nearest the plane 8y - 3x - 7z = 0.

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

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Q: 2. -2 -2. 4 Select the general form equation of the circle whose graph is shown above. Select one:…

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Q: 4 k V1 = V2 = -5 ; y= -6 -2 k For what value(s) of k is y in the plane spanned by vị and v2?

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Q: ther the space curve given by r(t) = (2t², t² + 2t - 8, t - 2) intersects the x-axis, and if it do…

A: Given space curve We have to determined whether it intersects x-axis or not?

Q: Find an equation for the parabola. y A В C A (x+2)2 = - 2.67(y – 1) B -2.67 (x+2)2 = y+1 (x- 2)2 = -…

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Q: dw. Findequatian fthe plan that Passer thraugh the originand thePaint P and parallet te the tineof…

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Q: Determine whether the planes are parallel, perpendicular, or neither. 3x - 15y - 12z - 3 = 0 -x+ 5y…

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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.