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Q: Write the equation of Spheres with radius R.

A:

Q: Write the coordinates for the center of the hyperbola: A/ (x-2) (y + 1)² 64 36

A: given  (x-2)236-(y+1)264=1standard form of hyperbola is  (x-h)2a2-(y-k)2b2=1hwer centre is  (h,k)

Q: Show that if P is a point on an ellipse with foci F1 and F2, directrices d1 and d2 and eccentricity…

A:

Q: The cross section of a cooling tower of a nuclear reactor is in the shape of a hyperbola and can be…

A:

Q: 4. Identify each of the following as an ellipse, circle, or hyperbola. Show how you determined it.…

A: (a)

Q: 7. FIND THE EQUATION FOR EACH CONIC: ELLIPSE, = (0,-4) VERTEX = (8,-4

A:

Q: State whether the equation y = 7x² defines

A: is an equation of parabola      Since there is no term , we will extend this parabola to…

Q: It is true that the vertex is halfway between tje focus and the directrix on the principal axis

A: Yes, the vertex is halfway between focus and the directrix on the principle axis

Q: Write the equation for the sphere of radius 1 centered at the prigin in the each of the following…

A: The general equation of a sphere in cartesian coordinates is: x-a2+y-b2+z-c2 = r2 Here, r is the…

Q: Use the information provided to write the standard form equation of each hyperbola.

A:

Q: For each conic: use discriminant test to identify type use graphing calculator to graph, then sketch…

A: The equation is 63x2+6xy+43y2=213.

Q: Explain why the dots in Figure 23 lie on a parabola. Where are the focus and directrix located? y=…

A:

Q: ustration 7.50 PQ and RS are two perpendicular chord the rectangular hyperbola xy = c². If C is the…

A: Let the co orcinates of P, Q , R and S be cti,cti resepctively. i=1,2,3,4.Now ,PQ ⊥RS      ∴…

Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.