Fill in the blank/s: A nondegenerate conic section of the form Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 is a/an ________ if B2 - 4AC = 0, a/an _______ or a/an _________ if B2 - 4AC < 0, and a/an _________ if B2 - 4AC > 0.

Q: Performa a rotation of axes to eliminate the xy-term of the conic 9x2 +4xy+9y2-20 = 0. Identify the…

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Q: Identify and sketch the graph of the conic section.x2 + y2 + 4x − 2y − 11 = 0

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Q: Solve, a. Rewrite the equation 32x2 - 48xy + 18y2 - 15x - 20y = 0 in a rotated x′y′-system without…

A: Note: Since you have posted a question with mu Given : Given equation is  32x2 -48xy+18y2-15x-20y=0…

Q: Linear Algebra Classify the conica of equation 12u ²+6v²+24u-12v+6=0, finding its vertices, foci,…

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Q: 10+ 6- 4 -6 -4 -6 -8 -10+ Write the standard equation for the hyperbola graphed above. t6

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Q: B. Situational Problems Involving Conic Sections 1. A Ferris wheel is elevated 1 m above ground.…

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Q: Specity the standot form of the conic, its conter and the equa tions of its axes, given by the…

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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: Given an equation of a conic section section 16x2-9y2-32x-36y-164 =0 (a) By completing the square,…

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: 3 2+ sin 0 equation of the conic in rectangular coordinates. Sketch the conic. Given r=- Find the…

A: Given equation of conic is r=32+sinθr=1231+12sinθ Distance of vertices from pole =3 We know that…

Q: 20. Analyze this conic section to answer the questions below. *-2x-4y-11 0 What type of conic…

A: we have to find the following

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

A: The given equation is . The Principal Axes Theorem states that , for a conic whose equation is ,…

Q: Find the coordinates of the center, foci, vertices, and the equations of the asymptotes of the conic…

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Q: Find an equation in rectangular coordinates of the conicr = 16/5 + 3 cos θHint: Use the results of…

A: Given conic equation in polar form: r=165+3cosθ

Q: (b) The equation 7x2 - 3xy + 5y² + 4x - 16y- 121 = 0 represents a non-degenerate conic. (i)…

A: We have to find the type of conic of given equation

Q: Given a conic section in general equation form, if the coefficient of x2 and y2 are not equal but…

A: Given a conic section in general equation form, if the coefficient of x2 and y2 are not equal but…

Q: Use the Principal Axes Theorem to perform a rotation of the axes to eliminate xy term in the…

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Q: given the conic section, find the required elements 16x2-25y2-96x+50y-281=0 find the hub

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Q: 8x^2+3y^2+4x+4y+7=0 identify what type of conic and if not a conic explain why

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Q: find an equation of the conic described. Graph the equation. Vertices at (0, 1) and (6, 1);…

A: It is observed that the vertices of the conic are of the form h±a,k. This is because the…

Q: Identify and sketch the graph of the conic section.4y2 + 4x2 − 24x + 35 = 0

A: This is a equation of a circle. Convert it into the standard form. Divide the equation by 4 to get…

Q: 3 Determine what kind of conic is represented by the equation r = 1-3sine

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Q: III. Give what is asked. 6. Write the general quadratic equation for which A=2, B=0, C=0, D=-4,…

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Q: The graph of a conic section is shown below. Identify, among the options, a possible equation for…

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Q: 59-62 - Graphing Shifted Conics Use a graphing device to graph the conic. 59. 2x - 4x + y + 5 = 0…

A: SolutionUse graphing device to graph the conic59, 2x2-4x+y+5=060. 4x2+9y2-36y=061.…

Q: Identify and sketch the graph of the conic section.4x2 + y2 + 32x + 4y + 63 = 0

A: Now it is in the form of

Q: 2 10 -9 8 -7 -6 -5 -4 -3 -2 ~1 i 2/ 3 4 5 6 7 8 9 1C -2 -5 -7 -8 10 Write the standard equation for…

A: The given hyperbola has the center (h,k)=(-3,-2) So, h=-3,k=-2 And, vertices are (2,-2) &amp;…

Q: a. Rewrite the equation 4x2 + 10xy + 4y2 - 9 = 0 in a rotated x′y′-system without an x′y′-term.b.…

A: The rectangular co-ordinate system can be rotated keeping the origin same, only the axes are rotated…

Q: Identify and sketch the graph of the conic section.

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

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Q: Identify and sketch the graph of the conic section.4y2 − 2x2 − 4y − 8x − 15 = 0

A: On simplification, we get

Q: Identify and sketch the graph of the conic section.16x2 + 36y2 − 64x − 36y + 73 = 0

A: We first complete the square to get the standard form

Q: what is the standard form of this conic section? 9x^2-4y^2-36x+8y-4=0    a. (x-2)^2 /2- (y-1)^2/9 =1…

A: Given equation is 9x2-4y2-36x+8y-4=0. To find the standard form of the given conic section.…

Q: 16x^2-9y^2+96x+18y-9=0 -conic? -equation of this conic in the form we used for graphing?

A: Explained below

Q: 16 5. (a) Find the constants a,b,c for the conic r = - 5-3 cose Sketch the conic.

A: We have to find the values of a, b, c and sketch the curve.

Q: I. Identify the graph of the following equation as the type of degenerate conic (if it is a LINE,…

A: Proceed as shown

Q: Identify and sketch the conic: 4x2 - y2= 4 b. Identify and sketch the conic: 9x2 +25y2+18x-108y…

A: Consider the conic  a.    4x2 - y2= 4 b.    9x2 +25y2+18x-108y -116 = 0

Q: Identify and sketch the graph of the conic section.x2 − 6y = 0

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Q: Identify and sketch the graph of the conic section.4x2 + y2 − 8x + 3 = 0

A: The given equation is 4x2+y2-8x+3=0 It can be rewritten as 4x2-8x+4-4+y2+3=0

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the…

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Q: What object is sliced to get conic sections? A pyramid A cone A sphere A cube

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Q: Locate the center of the conic 49y^2– 4x^2 + 48x – 98y – 291 = 0

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Q: 1 1) Find the eccentricity and directrix of the conic and graph the conic and its 1- 2sin 0…

A: Given:- Conic r=1/(1-2sinθ)  To find:- Find the eccentricity and directrix of the given conic and…

Q: II. Identify the graph of the following equation as the type of degenerate conic (if it is a LINE,…

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Q: Find an equation of the conic section that satisfies the given condition- Find an equation of the…

A: Explanation of the answer is as follows

Q: Use the Principal Axes Theorem to perform a rotation of the axes to eliminate the xy-term in the…

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Q: Find the general conic form. The final answer should look something like this x^2+4y^2-64y=-156

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Q: 10+ 어 -10 -8 -6 -4 -2 2 4 6 8 10 -6 -8- +10+ Write the standard equation for the hyperbola graphed…

A: To write the standard equation for the hyperbola whose graph is given . From the above graph we see…