20) Find the coordinàtes of the foci of the conic x² –10x –16y² – 64y – 55= 0

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

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Q: Classify each conic section. 23) 2y + x + 8y + 11 = 0 24) x + y + 4 = 0 25) -x + 6x + y – 6 =0 26)…

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Q: Consider 13 -6v3zy+7y- 256 0. Classify the conic section and (2) calculate the angle of rotation of…

A: Given the equation of the conic section is  13x2-63xy+7y2-256=0                      (i) The general…

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

A:

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: Show that the image of the hyperbola x² - y² = 1 is the transiscate p² = cos24.

A: Introduction: An hyperbola is another significant conic section. It has Cartesian as well as polar…

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

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Q: What is the standard form of the conic defined by x + 2y² – 8y = 0?

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Q: Consider the conic below x² + 4xy+ 4y² - 2/5x + V5y = 0 and determine what is asked. 1) Parameters…

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Q: Find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy +…

A: To find the largest and smallest distances from the origin to the conic whose equation is 5x2 − 6xy…

Q: . Locate the center of the conic 16x^2 + 25y^2– 160x – 200y + 400 = 0

A: A detailed solution is given below.

Q: Q.8: ] find the parametrization of the upper half of the conic section 4x² +9y²-24x = 0; with x= -2

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Q: Determine the distance between the foci of the following conic section: 16x2 + 9y- 64x 54y+1 = 0

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

A: the general form of the equation of conic sectionis Ax2+Bxy+Cy2+Dx+Ey+F=0

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: 8. Find the equation of the conic whose focus is (4, -5) and directrix is x = -2.

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Q: 11. Write the equation of the conic section in standard form. 7x² – 3y² – 70x –12y+142 =0

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Q: What is the relation of the conic section to the milk bottle?

A: The milk bottles have a cylindrical body in majority.  Now, if you can imagine a milk bottle filled…

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

A: Ellipse

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: Show that the “conic section” with equation x2 − 4x + y2 + 5 = 0has no points.

A: Equations for conic sections are obtained as the locus of points following one or a set of…

Q: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

A: Sketch the three basic conic sections in standard position with vertices and foci on the x-axis.

Q: Identify and sketch the graph of the conic section.x2 + 4y2 + 4x + 32y + 64 = 0

A: The given graph is,…

Q: Find a parametric representation for the lower half of the ellipsoid 5x² + 4y2 + z² = 1.

A:

Q: entify the coni

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

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 the conic sections below by completing the square on z and y to place them in standard…

A: The given equation is a) 4x2+3y2+8x-24y+40=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: Find the eccentricities of each of the conics given below. (a)        y = 4x2 − 2019x + 83 (b)…

A: Given that: (a)        y = 4x2 − 2019x + 83 (b)      x2/42 + y2/62=1 (c).     x2/42 − y2/62=1

Q: Determine the length of the latus rectum and distance between the foci of the conic section: 16x^2…

A:

Q: 2. Identify the conic section given by y² + 2y = 4x² + 3 Find its vertex/vertices and focus/foci.

A: We rewrite the equation as: This is an equation of a hyperbola.

Q: Identify the conic with the given equa­tion and give its equation in standard form…

A:

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: IV. Name the conic section, based on the equation. x²+y +333x+444y+777 =0 3x + 2y? +12x- 4y+2=0…

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Q: (b) Show that the equation r² – 4x + 4y2 – 12 = 0 represents a conic section. Sketch the conic…

A: To show: The equation x2 – 4x + 4y2 – 12 = 0 represents a conic section.Proof:

Q: 11. Find the required information. Then graph the conic section. -9x + 4y? - 18x + 16y – 29 = 0…

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Q: Sketch the conic sections. Indicate the foci, and show your work: A) 4x2+3y2+8x-6y=5 B)…

A: A)Given equation is,

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

A: Here, the given equation is x2+4xy+4y2-25x+5y=0. Firstly, let's evaluate the angle of rotation, θ.…

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

A: Follow the procedure given below.

Q: Identify the conic with th e given equa­tion and give its equation in standard form…

A: Given, 2xy+22x-1=0 Conic section general formula Ax2+Bxy+Cy2+Dx+Ey+F=0 B2-4AC>0→Hyperbola or 2…

Q: Write the equation of a conic given by 8x² + 8y² – 16x + 48y+ 10 =0 in standard form. A (x- 1)² +…

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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: 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...