(b) Show that the equation r² – 4x + 4y2 – 12 = 0 represents a conic section. Sketch the conic section, and indicate all pertinent information (such as center, vertices, directrix, etc.).

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Identify and sketch the conic 4x2 + y2 -8x + 4y - 8 = 0

A: Consider the standard form Ax2+Bxy+Cy2+Dx+Ey+F=0  Here if A=C≠0…

Q: 1. Determine the important parts of the conic and sketch their graph. а. у? + 2х — 10у — 31

A: As per our guidelines we are supposed to answer only one question i.e. the question no 1)a). For the…

Q: Sketch the conic section 9x² +4y² 36x + 8y + 4 = 0 Be sure to identify any of the following items…

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Q: Identify and sketch the graph of the conic section.y2 + 8x + 6y + 25 = 0

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Q: Identify and sketch the graph of the conic section.x2 + 4x + 6y − 2 = 0

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Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy = 3

A: We need to rotate the axes by θ = π / 4 Hence,  x' = x cos(θ) + y sin(θ) = (x + y)/√2 y' = - x…

Q: 4x2+y2-16y+8y+16=0 Identify the conic section by rewriting it in standard graphing form.

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Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.4x2 + 2xy +…

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Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + 4y2 – 6x…

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Q: Trace the conic section 17x 12xy + 8y + 46x – 28y + 17 = 0 and find all of its properties. Also…

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Q: 1- Sketch the following conic sections: y2 -4y+8-4x² = 0 %3D a-. .2 b- .2 y-4y-4x =8 a 3(y – 5)2 –…

A: As per our company guidelines, we are supposed to answer only the first three subparts. Kindly…

Q: 3. Find the equation in xy coordinates for the conic section that satisfies the following…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: FRIRMO

A: Let's find.

Q: 1- Sketch the following conic sections: a 0 2 -4y+8 -4x2 =

A: We have to sketch the following conic section

Q: Consider the following equation: 25x2-4y=100. 1) write the equation in standard form and identify…

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Q: For which values of a does the conic 3x^2 + 2y^2 − 16y + 12x =a, have at least one point?

A: Consider the given:…

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.xy + 1 = 0

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Q: Explain what is the relation to the conic section of the given object.

A: A conic section (or simply conic) is a curve obtained as the intersection of the surface of a cone…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: Determine which of the conic sections is represented by 4x² + 14xy + 5y² + 18x − 6y +30 = 0

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Q: 2. Suppose that the equation Ax + Bxy + Cy² + Dx + Ey + F = 0 represents a conic section…

A: The equation Ax2+Bxy+Cy2+Dx+Ey+F=0 represents a conic. If B2-4AC>0 , The conic represents…

Q: 18 Identify the center of the conic section whose equation is 5x 2 + 9y 2 - 80x + 54y + 221 = 0…

A: Solution is here

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: Determine the type of conic: 16. 2x2-4xy + 8y2 +7 = 0 17. 2xy-x + y-3 = 0 %3D %3D

A: The general equation of conics is given as Ax2+Bxy+Cy2+Dx+Ey+F=0, where A,B,C,D,E and F are real…

Q: Identify the type of conic from the discriminant.* x²+2xy +y² + /2x-/2y-2=0, 6=45° ANSWER: BIlank 1…

A: Given problem Given that   General equation of the conic : Ax2+Bxy+Cy2+Dx+Ey+F =0 Discriminant is…

Q: Sketch the conic section 9x² +4y² – 36x + 8y + 4 = 0. Be sure to identify any of the following items…

A: Ellipse

Q: Consider the following equation: 4(x+1)2+(y-2)2=16.  1) write the equation in shavers standard form…

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Q: Identify the conic section and graph. (x+7)^2/5^2+(y+3)^2/3^2=1

A: On simplification, we get Now it is in the form of . Therefore it represents an ellipse.

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: 1- Sketch the following conic sections: Aa-. y-4y+8- 4x2 -0 b- y2 -4y-4x2 = 8 c- 3(y- s)2 - 7(x +…

A: Since, you have asked multiple questions , we will solve the first question for you. Also, the first…

Q: Explain what is the relation of the conic section to the given object.

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Q: 9. How can you determine the type of conic section represented by an equation in general form?

A: How can you determine the type of conic section represented by an equation in general form ?

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

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Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

A: Given, 2y2 + 4x + 8y = 0

Q: O Reduce the equation x + 2ry +y +4 V2x - 4V2y = 0 to the standard form and hence %3D identify the…

A: The given equation is x2+2xy+y2+42x-42y=0

Q: Consider the conic below x² + 4xy+4y² – 2/5x + /5y = 0 and determine what is asked. 1) Conic…

A: As per our guidelines we are allowed to answer only three subparts of a given question.Kindly repost…

Q: Use a translation of axes to put the conic in standard position. Identify the graph, give its…

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Q: 2. Rotate the coordinate axes to remove the xy-term. Then identify the type of conic and sketch its…

A: (2)  (a) the given equation is x2+4xy-2y2-6=0. Task: To rotate coordinate axes to remove the x-y…

Q: Find the equation of the conic of major axis on the x-axis, the center at (0,0) passing through (2,…

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Q: What is the relation of the conic section to the perfume container?

A: Common Parts of Conic Sections While each type of conic section looks very different, they have some…

Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.16x2 − 24xy +…

A: To Perform a rotation of axes to eliminate the xy-term, and to sketch the graph of the conic.…

Q: Identify and sketch the graph of the conic section.y2 − 6y − 4x + 21 = 0

A: Consider the given equation whose type of conic section is to identify:

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: Identify the conic section whose equation in standard form is x 2 + 2y 2 - 3x + 8y = 10. ellipse…

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Q: Is the given statement true or false? Justify your answer. Directrix of a conic r=10/3-2cos is = 13

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Q: 10. Find the required information and graph: 2x + 2y + 2x + 14y + 17 = 0 Classify the conic section:…

A: Consider the provided equation, 2x2+2y2+2x+14y+17=0 Classify the conic section and find the center.…

Q: The conic section whose equation is x2 - 3y2 - 8x + 12y + 16 = 0, is ______. centered on the origin…

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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: Find the required information and graph: 7x² + 3y2 - 42x + 6y – 39 = 0 Classify the conic section:…

A: The conic function 7x2+3y2-42x+6y-39=0. We have to find the following requirements...