Identify the conic with a focus at the origin, and then give the directrix and eccentricity. (Use the following as necessary: x and y.) r(3 - 4 sin(0)) = 1 type Select-- directrix eccentricity

Q: Find a polar equation for the conic Parabola with its focus at the pole and the vertex (2, π/2)

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Q: Find a polar equation for the conic Parabola with its focus at the pole and the given eccentricity e…

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Q: Find an equation for the conic that sa tisfies the given conditions. parabola, focus (-4, 0),…

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Q: Find a polar equation for the conic Parabola with its focus at the pole and the given eccentricity e…

A: Given eccentricity e =1  and  directrix  x =4…

Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

A: Note:  For a Conic with eccentricity e,         i) if 0≤e<1, then the conic is an ellipse.…

Q: Consider the equation of the following (z + (y + 6)° = 1 conic section: Use Desmos and scratch paper…

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Q: find and sketch The polar equation for conic section with eccentricity(e=1) and with one of the…

A: See the explanation below

Q: Find the polar equation of the conic with focus at the origin and the given eccentricity and…

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Q: find the eccentricity, identify the conic, give an equation of the directrix and sketch the graph of…

A: Solution is given below:

Q: Find a polar equation of the conic with focus at the origin and eccentricity and directrix as given.…

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Q: Find a polar equation for the conic that has its focus at the pole and satisfies the stated…

A: Each conic was defined differently, but they all had to do with the distance between a point on the…

Q: (b) Given r=- 4 1-2 sin 0 equation of the conic in rectangular coordinates. Sketch the conic. Find…

A: given r=41-2sinθ find the distances from the pole to the vertices and then find the equation of the…

Q: Write a polar equation for a conic having focus at the origin, directrix y = - 2, and eccentricity e…

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Q: Determine the type of conic, angle of rotation needed to eliminate the XY-term to the nearest degree…

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Q: Find a polar equation for the conic that has its focus at the pole and satisfies the…

A: We need to determine the polar equation of the hyperbola which has its focus at pole, e=54 and the…

Q: Find a polar equation for the hyperbola with focus at the origin, directrix x = −2, and eccentricity…

A: Depending upon the form of directrix (x =±d or y = ±d), the equation of conic section with focus at…

Q: Show that a conic with focus at the origin, eccentricity ,and directrix y=-d  has polar equation r…

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Q: Identify the conic with a focus at the origin, and then give the directrix and eccentricity. (Use…

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Q: Write a polar equation of a conic with the focus at the origin and the given data. hyperbola,…

A: Given: Focus (0, 0) Eccentricity = e =2.5 Directrix = d = 2 The formula for polar equation of any…

Q: Write a polar equation of a conic with the focus at the origin and the given data. parabola,…

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Q: Find the eccentricity and the distance from the pole to the directrix of the conic . r = 6 /(3 + 2…

A: Given,  r=63+2cosθ

Q: Find a polar equation for the conic section with one focus at the​ origin, along with the given…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r = Without…

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Q: give the eccentricities of conic sections with one focus at the origin along with the directrix…

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Q: Name the conic that has the given properties and find its Cartesian equation. Eccentricity 1,…

A: A conic section is obtained by slicing the cones at different angles. There are three types of…

Q: Find a polar equation of the indicated conic in terms of r with the given characteristics and focus…

A: To find - Find a polar equation of the indicated conic in terms of r with the given characteristics…

Q: Find the equation of the conic with focus at the origin, eccentricity e and the directrix y = d.

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Q: Find a polar equation for the conic Ellipse with its focus at the pole and the eccentricity e = 3/4…

A: Focus of the ellipse is at the pole. Eccentricity is e=34. Directrix is y=-2. Comparing the…

Q: Find a polar equation of the conic in terms of r with its focus at the pole. Eccentricity e = 5/6…

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Q: Write a polar equation of a conic with the focus at the origin and the given data.  ellipse,…

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Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

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Q: A conic is given by 1 r = 1+2 cos 0 (a) Find the equation of the conic in rectangular coordinates.…

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Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) r= Without converting into…

A: We have to solve given problems:

Q: Find the eccentricity e and the distance |d| from the pole to the directrix of the coni -6 r = 3 + 5…

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Q: Write a polar equation of a conic with the focus at the origin and the given data.  parabola,…

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Q: The eccentricity of the conic section below is 1 Enter

A: The given conic section is a parabola. Which is of the form  (x-h)2 =4ay

Q: Name the conic that has the given properties and find its Cartesian equation. Eccentricity 5/3 and…

A: Given: Eccentricity (e) = 53 and vertices = (0, ±3) .

Q: Write a polar equation of a conic with the focus at the origin and the given data. hyperbola,…

A: The given data of the hyperbola with focus at the origin is

Q: Find a polar equation for the conic section with one focus at the origin, along with the given…

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Q: Give the equation in polar coordinates of a conic section with a focus at the origin, eccentricity…

A: let d be positive, a directrix x = d, and focus is at the origin.

Q: Find the eccentricity, identify the conic, and equation of the directrix. 1 r = 2 + sin 0…

A: Given:- r = 1/(2+sinθ)  To find:- Eccentricity, type of conic, equation of directrix

Q: parabola, directrix x- -7

A: r=ed1-ecosθd is the directrix

Q: Identify the conic and write its equation in rectangular coordinates: r 2 - 2 cos 0

A: r=12-2cosθ⇒r=121-cosθ⇒r=121-cosθ Comparing with r=ep1-ecosθ, we get e=1&ep=12⇒1p=12⇒p=12 Since…

Q: Find and sketch the polar equation for conic section with eccentricity (e = 1) and with one of the…

A: Equation of conic with eccentricity e=1 is a parabola  focus =(0,0) directrix y=-1 (0.-1) vertex…

Q: Consider the conic section given by the polar equation 4 1-sin 0 (a) (b) (c) (d) r Without…

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Q: Find the eccentricity and the distance from the pole to the directrix of the conic. Then identify…

A: Consider the equation of the conic: r=-63+7sin θ . r=ed1±esin θ represent a conic section, here e…

Q: Write a polar equation of a conic with the focus at the origin and the given data. ellipse,…

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Q: Name the conic that has the given properties and find its Cartesian equation. Vertices (±4, 0) and…

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.