Conic Sections Problems: Get Step-by-Step Solutions

A solid is formed by cutting a conical section away a right circular cylinder. If the radius measures 6 in. and the altitude measures 8 in., what is the volume of the resulting solid?

Alyce Wilkinson 2021-03-09

The eccentricities of conic sections with one focus at the origin and the directrix corresponding and sketch a graph:
$e = 2,$
$r = - 2 \sec θ .$

Daniaal Sanchez 2021-03-07

To calculate: The sections represented by the polar equation $r = \frac{18}{6 - 6 \cos θ}$ and graph it by the use of graphing utility.

FobelloE 2021-03-07

Polar equations for conic sections Graph the following conic sections, labeling vertices, foci, directrices, and asymptotes (if they exist). Give the eccentricity of the curve. Use a graphing utility to check your work. $r = \frac{10}{5 + 2 \cos θ}$

Emily-Jane Bray 2021-03-07

To calculate the verties and foci of the conic section: $(x^{9}) 2 + (y^{4}) 2 = 1$

aortiH 2021-03-06

If the directrix is horizontal, then the parabola opens $(horizontally / vertically)$

preprekomW 2021-03-05

A latus rectum of a conic section is a chord through a focus parallel to the directrix. Find the area bounded by the parabola $y = x^{2} / (4 c)$ and its latus rectum.

Brittney Lord 2021-02-25

Identify the equation without applying a rotation of axes.
$4 x^{2} - 8 x y + 4 y^{2} - 3 x + 6 = 0$

ankarskogC 2021-02-25

Find the required information and graph:
$2 x^{2} + 2 y^{2} + 2 x + 14 y + 17 = 0$

Elleanor Mckenzie 2021-02-22

Identify the type of conic section whose equation is given.
Given:
$2 x^{2} = y^{2} + 2$
To determine: The type of conics.

Suman Cole 2021-02-22

Given the following conic section, determine its shape and then sketch its graph.
$x^{2} - 2 x y + y^{2} + x - 2 y - 1 = 0$

Lennie Carroll 2021-02-20

To find the vertices and foci of the conic section: $\frac{{(x - 4)}^{2}}{5^{2}} - \frac{{(y + 3)}^{2}}{6^{2}} = 1$

zi2lalZ 2021-02-15

Determine whether the statement If $D \neq 0 or E \neq 0$ ,
then the graph of $y^{2} - x^{2} + D x + E y = 0$ is a hyperbolais true or false. If it is false, explain why or give an example that shows it is false.

permaneceerc 2021-02-14

A conical surface (an empty ice-cream cone) with surface charge density ? has height h.Radius of the top is R.Find potential difference between vertex & center of the top.

Kyran Hudson 2021-02-12

Identify the conic section given by the polar equation $r = \frac{4}{1 - \cos θ}$ and also determine its directrix.

York 2021-02-11

The conic for the equation ${(x + 2)}^{2} + {(y - 1)}^{2} = 4$ and also describe the translation of the conic from the standard position.

nicekikah 2021-02-10

Identify the conic section given by $y^{2} + 2 y = 4 x^{2} + 3$
Find its $\frac{vertex}{vertices} and \frac{focus}{foci}$

Emily-Jane Bray 2021-02-05

Determine the equation of a conic section...(Hyperbola) Given: center (-9, 1) distance between $F 1 and F 2 = 20$ units
distance between $C V 1 and C V 2 = 4$ units orientation = vertical

sibuzwaW 2021-01-31

Convert the following equations to its standard form and identify the vertex and focus.
$3 y^{2} + 8 x + 24 y + 40 = 0$

Tyra 2021-01-31

Find the center, foci, vertices, asymptotes, and radius, if necessary, of the conic sections in the equation:
$x^{2} + 4 x + y^{2} = 12$

When you are told to work with conic sections equations, think about how planets travel around the sun and how elliptical routes get in focus. Parabolic mirrors, solar explanations, and so on. We have conic sections practice problems with answers that will help you learn easier. In the majority of cases, one should start with conic section equations because it is where one must start. Alternatively, take your conic section equation and compare things to the answers that we have below. See provided conic sections examples as these solutions will provide you with great starting points.

Integral Calculus

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