Step-by-step solutions to hundreds of conic sections

Recent questions in Conic sections

kabutjv7 2022-04-30 Answered

Prove that the product of two lines equations is hyperbola

Bruce Rosario 2022-04-22 Answered

How to find the coefficient a of a
$y = a x^{2}$
parabola?

Yaritza Robinson 2022-04-21 Answered

Solve below somewhat symmetric equations:
x, y, z subject to
$x^{2} + y^{2} - x y = 3$
${(x - z)}^{2} + {(y - z)}^{2} - (y - z) (x - z) = 4$
${(x - z)}^{2} + y^{2} - y (x - z) = 1$
$x, y, z \in R^{+}$

Deegan Chase 2022-03-28 Answered

Prove that the product of two lines equations is hyperbola

rhedynogh0rp 2022-03-25 Answered

Convert hyperbola in rectangular form to polar form
$3 y^{2} - 16 y - x^{2} + 16 = 0 .$

Joey Rodgers 2022-03-18 Answered

Can it be shown that gives a conic section?
$r^{2} = \frac{1}{1 - ε \cos (2 θ)}$

Harold Kessler 2022-01-07 Answered

Find the area of the largest rectangle that can be inscribed in the ellipse $\frac{x^{2}}{a^{2}} + \frac{y^{2}}{b^{2}} = 1 x$

usagirl007A 2021-09-18 Answered

At one point in a pipeline the water’s speed is 3.00 m/s and the gauge pressure is $5.00 \times 10^{4} P a$ . Find the gauge pressure at a second point in the line, 11.0 m lower than the first, if the pipe diameter at the second point is twice that at the first.

Bevan Mcdonald 2021-08-14 Answered

Identify each conic using eccentricity.
(a) $r = \frac{4}{1 + 3 \sin θ}$
(b) $r = \frac{7}{1 - 3 \cos θ}$
(c) $r = \frac{8}{6 + 5 \cos θ}$
(d) $r = \frac{3}{2 - 3 \sin θ}$

Rivka Thorpe 2021-08-14 Answered

A conic section is said to be circle if the eccentricity e=1

nicekikah 2021-08-13 Answered

The front (and back) of a greenhouse have the same shape and dimensions shown below. The greenhouse is 40 feet long and the angle at the top of the roof is $90^{\circ}$ . Determine the volume of the greenhouse in cubic feet. Explain your solution.

Armorikam 2021-08-13 Answered

Your mission is to track incoming meteors to predict whether or not they will strike Earth. Since Earth has a circular cross section, you decide to set up a coordinate system with its origin at Earths

nicekikah 2021-08-13 Answered

Find an equation of the conic described.Graph the equation.
Ellipse; center at (0,0); focus at (0,3); vertex at (0, 5)

Anonym 2021-08-12 Answered

To determine: Find the lateral area of the conical tent.

Tahmid Knox 2021-08-12 Answered

Show that for eccentricity equal to one in Equation 13.10 for conic sections, the path is a parabola. Do this by substituting Cartesian coordinates, x and y, for the polar coordinates, r and θ , and showing that it has the general form for a parabola, $x = a y^{2} + b y + c$ .

Emeli Hagan 2021-08-12 Answered

Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters, and draw the conic defined by $9 x^{2} + 16 y^{2} = 1$

Ernstfalld 2021-08-12 Answered

Identify what type of conic section is given by the equation below and then find the center, foci, and vertices. If it is a hyperbola, you should also find the asymptotes.
$4 x^{2} - 24 x - 4 y + 28 = y^{2}$

chillywilly12a 2021-08-12 Answered

Find the focus, equation of the directrices, lengths of major axis, minor axis and focal diameters, and draw the conic defined by
$4 x^{2} + 7 y^{2} = 1$

abondantQ 2021-08-12 Answered

Solve for the equation in standard form of the following conic sections and graph the curve on a Cartesian plane indicating important points (i.e. vertices and intercepts).The hyperbola given by $5 x^{2} - 4 y^{2} = 20 x + 24 y + 36$

Tazmin Horton 2021-08-11 Answered

$S_{1}, S_{2}$ are two foci of the ellipse $x^{2} + 2 y^{2} = 2$ . P be any point on the ellipse The locus incentre of the triangle $P S S_{1}$ , is a conic where length of its latus rectum is

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