The parabola has equation y^2 = 4ax , where a is a positive constant. The point P(at^2, 2at) lies on C. The point S is the focus of the parabola C. The point B lies on the positive...

The parabola has equation y^2 = 4ax , where a is a positive constant. The point P(at^2, 2at) lies on C. The point S is the focus of the parabola C. The point B lies on the positive...

How 2 graphs are obtained for hyperbola for only single cone

find the center and radius of the circle whose equation is x^2-24x+49=-y^2+14y

This is a parameteric equation that is needed to be converted to parameteric. Since it has trig in it I suspect that it should be a conic eauaequa

Show that, for the ellipse (x2 / a2 )+ (y2 / b2 ) = 1, the product of the perpendicular distances between the foci and any tangent to the ellipse is the square of the...

I'm working with conics

Graph the conic and find the values of e, a, b, and c: r=14/3+4cos(theta)

A road passes through a tunnel in the form of a semi-ellipse. In order to widen the road to accomodate more traffic,engineers must design a larger tunnel that is twice as wide and 1.5 times as tall...

The arch of a bridge is a semi ellipse with a horizontal major axis. The span is 30ft and the top of the arch is 10ft above the major axis. The roadway is horizontal and is 2ft above the top of the...

This is about Conics of Parabolas and Non-Linear Systems

The equation 4x^2+9y^2-36y = 0 defines a shifted ellipse. Write this equation in the standard form, find the center, focus, vertices of this ellipse, the lengths of major and minor axes and sketch...

What is the standard form equation of a hyperbola with vertices at (0, 2) and (-10, 2) and foci at (8, 2) and (-18, 2)? standard form equation of a hyperbola.

What is the standard form equation of a an ellipse with foci at (3,0) and (-7, 0) and endpoints of the major axis at (11, 0) and (-15, 0)? standard form equation of an ellipse

identify the vertex and axis of symmetry of each then sketch the graph.

Write equation in standard form. Cirles, identify the center and radius. Identify ellipses and hyperbole identify the center.

Circles, ellipses, and hyperbolas identify the center. Write equation in standard form.

y^2= 16x-8

Y2-8x+10y+9=0

Identify the conic that this polar equation represents. Also, give the position of the directix. r=1/(1+costheta) The equation defines a circle. The equation defines an ellipse...

Find a polar equation for this conic. A focus is at the pole. e = 6; directrix is parallel to the polar axis 2 units below the pole r=12/(1+6costheta) r=12/(1-6costheta)...

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