Rewrite polar equation for hyperbola as a 48 Cartesian equation r 5 – 7 sin(0) Preview

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

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Q: 23. Consider the circle x² + y² = R². (a) Write down parametric equations to traverse the circle…

A: Given equation of circle is x2+y2=R2. To determine: Parametric equations to transverse the circle.…

Q: Solve, a. Identify the conic section that teh polar equation r = 3/(1 + cos θ) represents. b.…

A: Given data: *The polar equation is r=31+cosθ   The general formula of the conic section is given by:…

Q: Find parametric equations for the line through (−5,4,6) parallel to the z​-axis

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Q: a) As trigonometry, 0 is negative when measured b) The polar coordinate of the point (2,4) and…

A: In trigonometry, when the angle θ is measured counter-clockwise, θ is positive.

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

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Hyperbola:  x = h…

A: x = h + b tanθ        ⇒ tanθ = x-hb —1 y = k + a secθ        ⇒ secθ = y-ka —2    22 - 12      sec2θ…

Q: Identify the conic section that the polar equation represents. Describe the location of a directrix…

A: Given the polar equation

Q: Identify and draw the conic r(2 – 2 sin 0 ) = 8. %3D

A: We have to solve given problem:

Q: A conic is given by r = 2 – cos 0 (a) Find the eccentricity and identify the conic. (b) Find the…

A: Compare with standard equation in polar then find e and using conditions of e determine the conic

Q: Write a polar equation for a conic having focus at the origin, directrix æ = 3, and eccentricity e =…

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Q: Eliminate the parameter in the parametric equations a(t) = -3t – 1 and y(t) =-15t – 10 to write a…

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Q: Exercise 3. Consider the equation in polar coordinates (r,θ): r = 6 sinθ − 4 cosθ a) Transform the…

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Q: Identify the conic section that the polar equation represents. Describe the location of a directrix…

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Q: Write the name of the conics given by polar curve r=6/(2+sin(t)) a) Determine the equation of the…

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Q: 7) Find a rectangular equation equivalent to the given pair of parametric equations. x=2t-1 „y=t^2;…

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Q: Construct parametric equations describing the graph of the line passing through the following…

A: Topic = Coordinate geometry

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

A: 4. b) Question:- Find a polar equation for the conic that has its focus at the pole and satisfies…

Q: 4 Given the conic section r = find the x and y intercept(s) and the focus(foci). 3 - 4 sin(0)…

A: Given equation is: r=43-4sinθ The general form of the conic section: r=ed1±esinθ Rewriting the given…

Q: c) Write the polar equation for a conic section with eccentricity 3, a focus at the pole, and a…

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Q: Find the polar equation that represents the conic described. (assume that a focus is at the origin.)…

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Q: Eliminate the parameter and obtain the standard form of the rectangular equation. Ellipse: x = h + a…

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

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Q: Identify the conic that each polar equation represents.Also,give the position of the directrix.

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Q: The pair of parametric equations represents a line, parabola, circle, ellipse, or hyperbola. Name…

A: The parametric equations are given as , x=2cos8t , y=2sin8t Name the type of curve that the pair of…

Q: Question Eliminate the parameter in the parametric equations x(t) = -3t – 1 and y(t) = -15t – 10 to…

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Q: a. Identify the conic section that polar equation r =8/(2 + 2 sin θ)represents.b. Describe the…

A: a. The given equation is r=82+2sinθ. Rewrite this as r=41+sinθ.

Q: A ladder 25 feet long is leaning against the wall of a building. Initially, the foot of the ladder…

A: for the right angle triangle, use the Pythagorean theorem  ................(1) the location of the…

Q: a. Identify the conic section that polar equation r =6/(3 - 2 cos θ)represents.b. Describe the…

A: Consider the given equation:r=63−2cosθObserve the equation:r=ed1−ecosθWhere e = eccentricity and d =…

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: Find the polar equation that represents the conic described. (assume that a focus is at the origin.)…

A: To find the polar equation for the conic described

Q: The parametric equations represented by x = secß, y = tanß, - T/2 < B< T/2 is a: A. Circle B.…

A: Given x=secβ  and y=tanβ

Q: r=6/(2+sin(t))

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Q: The parametric equations x = sect and y = tan t , 0 <ts 2n, represent hyperbola.

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Q: a. Identify the conic section that polar equation r =12/(2 - 4 cos θ)represents.b. Describe the…

A: We have polar form of conic section r=122-4 cosθ   Standard equation of conic section in polar form…

Q: Eliminate the parameter t to rewrite the parametric equation as a Cartesian equation. y= 3/E-4…

A: In this question , we can eliminate the parameter 't' and rewrite the equation as a cartesian…

Q: Eliminate the parameter and get the standard form of the equation. Circle: x= h+ r cos(theta), y= k…

A: From given equations, we solve for cos theta and sin theta

Q: Identify and draw the conic r(2 – 2 sin 0 ) = 8.

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Q: 44. The parametric equation of the rectangular hyperbola #(y + 1) = c² is A. 1 = ct, y B. I = 1+ ct,…

A: Please see the explanation below

Q: a. Identify the conic section that polar equation r =3/(1 + cos θ)represents.b. Describe the…

A: To evaluate   a. Identify the conic section that polar equation r =3/(1 + cos θ)represents.b.…

Q: 6. Given the conic section r = find the x and y intercept(s) and the focus(foci). 5+ sin(0)…

A: Given, the conic section r=65+sinθ, find the x and y-intercepts and focus.

Q: a. Identify the conic section that polar equation r =3/(1 + sin θ)represents.b. Describe the…

A: a. Identify the conic section that polar equation r =3/(1 + sin θ)represents.b. Describe the…

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: Find a rectangular equation equivalent to the given pair of parametric equations. x- 5t-2, y=t;…

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