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

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

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Q: Graph the line and conic section. r = 4 sec (u + pi/6)

A: General equation of a line is given as y = mx + c, where m is the slope of line and c is the…

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

A: Hyperbola: x = h + a sec θ, y = k + b tan θ We need to eliminate the parameter to obtain the…

Q: Eliminate the parameter, A hyperbola: x = h + a sec t, y = k + b tan t. Write the resulting equation…

A: x=h+asect , y=k+btant On simplification, we get ⇒asect=x-h , btant=y-k⇒sect=x-ha , tant=y-kb

Q: а) Given a pair of parametric equations x =1-2t, y =r +4. i. Eliminate the parameter of t to obtain…

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Q: Identify the conic represented by equation without using a rotation of axes.

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Q: Identify the conic represented by the equation y2 + 4x + 2y - 15 = 0 without completing the square.

A: to identify the conic represented by the equation  y2+4x+2y-15=0

Q: Identify the conic represented by the equation 4x2 - 9y2 - 8x + 12y - 144 = 0, without completing…

A: 4x2-9y2-8x+12y-144=0 Comparing with Ax2+By2+Cx+Dy+E=0, we get A=4, B=-9, C=-8, D=12 & E=-144

Q: Identify the following conic section, find its vertices (or vertex), and its foci (or focus). Sketch…

A: 3x2=2y2+8y+18x-37⇒3x2-2y2-8y-18x=-37⇒3x2-18x-2y2+8y=-37⇒3x2-6x-2y2+4y=-37⇒3x2-6x+9-2y2+4y+4=-37+27-8…

Q: Rotate the coordinate axes to remove the xy- term, then identify the type of conic and sketch its…

A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Determine the type of conic section, give its equation, and clearly graph with coordinates: 9x2 +…

A: According to the given information it is required to determine the type of conic section and graph…

Q: be the equation 12x2 + 12x y + 7y2 − 4x + 6y − 1 = 0. a)  Determine the nature of the conic. b) Find…

A: The solution are next step

Q: equation

A: Please refer to the image below

Q: Find the equation of the conic in the rotated system that eliminates the cross-product term and find…

A: Given

Q: Identify the conic represented by the equation, 5x2 + 2√3xy + 3y2 - 18 = 0 without using a rotation…

A: The equation Ax2+Bxy+Cy2+Dx+Ey+F=0 a) Parabola: If B2-4AC=0 b) Ellipse: If B2-4AC<0 c) Hyperbola:…

Q: Identify and graph the conic whose equation is in attachment.

A: Consider the given equation as 5x2+4xy+2y2-285x-45y+4=0

Q: Identify the conic section defined by the following equation. Sketch its graph. Label its vertices,…

A: Given 16x2-9y2+96x+54y-81=0

Q: Given the following conic section, determine its shape and then sketch its graph. a – 2xy + y² +x –…

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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 focus, equation of the directrices, lengths of major axis, minor axis and focal diameters,…

A: Given 5x2+4y2=1 This equation becomes  x215+y214=1x2152+y2122=1 Comparing with the equation,…

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

A: A conic section is obtained from the intersection of a plane with surface of a cone. Three types of…

Q: Find the constants a,b,c for the conic r = 120 5+ sin 0 Sketch the conic.

A: As per the question we are given the polar form of a conic, and from that we have to find the…

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

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Q: entify the coni

A: Given,           x2+16y2-160y+384=0

Q: convert the given polar equation to a Cartesian equation. Write in the standard form of a conic if…

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Q: Determine the equation of the given conic in XY-coordinates when the coordinate axes are rotated…

A: Since,  This implies,  Since the coordinate axes are rotated through  , so equation of x and y can…

Q: Find an equation of the conic in the rotated coordinates, and find the angle of rotation. 7x2 + 8xy…

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Q: Find an equation in rectangular coordinates of the conic r = 16/5 + 3 cos θ

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Q: Eliminate the parameter, An ellipse: x = h + a cos t, y = k + b sin t. Write the resulting equation…

A: Let's consider the given equations for the ellipse:…

Q: (x-2)² y² =D1 5) %3D 81 36

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: Find a polar equation of the conic in terms of r with its focus at the pole. Conic Parabola Vertex…

A: Here, the given vertex of the parabola is (12, π/2). As θ = π/2, the vertex is on the Y axis. The…

Q: Given the equation: 2x? + 3y? – 6x +6y = 12 Identify the conic and explain how you know.

A: Given: 2x2+3y2-6x+6y=12To identify the given conic:

Q: Identify the conic, write in standard form and graph it: 16x2 + 4y2− 64x − 24y + 36 = 0.

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Q: Identify the conic of r 1 cos0 Answer.

A: Topic:- algebra

Q: Identify the conic given by 2 (x – 10)² (v-9)² 1 36 36

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Q: Find the focus, orientation and external conic x?_2ny +y?+2xbys3Q 1. center of the

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Q: Given: 3a – 6x + 2y + 8y- 1= 0. Identify the conic and give its foci.

A: Follow the procedure given below.

Q: be the equation 12x2 + 12x y + 7y2 − 4x + 6y − 1 = 0. a)  Determine the nature of the conic. b) Find…

A: Given

Q: graph the conic with the formula r=4/4+2cos(theta)

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Q: Convert the given polar equation to a Cartesian equation. r= 6.cos(e) In Cartesian, this equation is…

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Q: Identify the conic represented by the equation, 5x2 - 8xy + 7y2 - 9√5x - 9 = 0 without using a…

A: Consider the given equation of conic  5x2-8xy+7y2-95x-9=0 Now, compare the given equation of conic…

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

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Q: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 without using a rotation of axes.

A: Identify the conic represented by equation x2 + 6xy + 9y2 - 2y = 0 A standard form of conic is given…

Q: Determine the equation of the conics shown below

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Q: Identify and graph the conic whose equation is 5x2 + 4xy + 2y2 = 6

A: Solution: Consider the given equation of conic is : 5x2 + 4xy + 2y2 = 6 Comparing the given equation…