(a) What does the equation y = x represent as a curve in R?? O ellipse O cirde O hyperbola O parabola O line (b) What does it represent as a surface in R?? O hyperboloid

Q: A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment lies a…

A: Given A line segment of length a + b runs from the x-axis to the y-axis. The point P on the segment…

Q: Determine the general form of equation of an ellipse whose standalu (x-2)2 (y+3)2 + = 1. 9 4 1.…

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Q: What are the coordinates of the foci of an ellipse whose equation in standard form 112 x+ is given…

A: We have to find the focci of an ellipse

Q: Consider this hyperbola. 9(x+5)2 - 25(y-2)2 =225 a) find parametric equations to describe the…

A: (a) Rearrange the equation to find the equation of the parabola in the standard form. Then find the…

Q: Find the equation in standard form of the parabola with focus (2, -3) and directrix x = 5.

A: The parabola with focus 2, -3 and directrix x=5. To find the equation of the parabola.

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

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Q: What is the equation of a parabola in standard form with vertex V(3, – 3) and focus F(3, 2)? A (x-…

A: NOTE: Refresh your page if you can't see any equations. . the vertex is at  and the focus is at

Q: A basketball court is 94 feet by 50 feet. Lisa takes 20 seconds to walk from one corner of the court…

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Q: b) Sketch the parabola with the graph cuts the x-axis at (5,0) and (-5,0), the directrix line y = 4…

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Q: 2 y² - x² = 9 a) Sketch the graph of the equations in three dimensions and identify the surfaces.

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Q: Identify the quadric surface each of the following equations represent and sketch its graph in a…

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Q: Determine the equation for the parabola with the given characteristics: focus at (2,6); directrix at…

A: Parabola

Q: #62. Civil engineers often design road surfaces with parabolic cross sections to provide water…

A: Given: Width of the road (w) =32 feet radius of the road (r)=322=16 feet rise at center of road 0.4…

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: (a) (y – A)2 (x – C)? = 1 B2 D2 where A = where B = where C = where D =

A: We will use standard equation for ellipse.

Q: (b) Find the evolute of the ellipse x2 y? =D1

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Q: Find an equation of the parabola that satisfies the conditions. a) Focus (0, -) and directrix, y =…

A: Given  Focus (0 , -1/2)  Directrix ,y = 1/2   Equation of parabola with focus at (x0 , y0) and…

Q: 10. Show that the ellipse and hyperbola, */*+2=1, 3 intersect at right angles.

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Q: variable circle through the origin and touching the hyperbola xy = c

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Q: 5. Consider the quadratic curve 2.x2 – 2xy + 2y = 9. %3D (a) your answer). (b) Decide whether the…

A: Given: The quadratic curve 2x2-2xy+2y2=9. To determine: a) Whether the given curve is ellipse,…

Q: What is the standard equation of the circle whose center is (-5,-4) and whose radius is 3?

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Q: An equation x-2x-4y+9=0 represents a parabola. (a) Determine the vertex, focus and directrix of the…

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Q: Write the equation of the parabola in standard form sati 1. Vertex (1, – 9); Focus (- 3, - 9)

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Q: What is the equation in standard form of a hyperbola if the coordinates of the foci are F;(3, – 5),…

A: We know the following. From the given focus and vertex, we observe that we must have b=3, a=4, h=3,…