III. Give what is asked. 6. Write the general quadratic equation for which A=2, B=0, C=0, D=-4, E=-7, a F=1. What class of conic section does it belong to? 7. Explain why the graph of x² – 4x + y² + 2y + 5 = 0 is a single point.

Q: 18. Which of the following is standard form of the equation of an ellipse defined by 25x2 + 16y2 –…

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Q: Write the equation of the hyperbola 36x? – 25y? + 288x – 150y – 549 = 0 in standard form (x – h)?…

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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: What.conic section is described by the follawing equation 4z +y |8z | 4y=15 K ASperbola D Ellipse…

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Q: 6 Write the equation in general conic form of the circle with center (2, 3) and r = 7 x 2 + y 2 -…

A: To write the equation of circle with the given center and radius.

Q: The graphs of the conics intersect at two points. x² + y? = 9 = 1 4 What are the coordinates of…

A: To find the points of intersection ,first we find y2 from the two given equations and by  equating…

Q: Below is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its…

A: Equation of conic section is F(x,y)=85x2+4y2-1360x+56y+5296          (1) Also given that the pair…

Q: 9. Explain in your own words how to decide what kind of conic it is if you have the equation Ax? +…

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Q: 6

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Q: Rotate the coordinate axes to remove the xy-term. Then name the conic section and sketch its graph.…

A: Given: x2+4xy-2y2-6=0 To Find: Rotate the coordinate axes to remove the xy-term.Then name the conic…

Q: Write the equation of an ellipse centered at (1, -2) whose minor axis has length 6 and horizontal…

A: We can find the equation of ellipse using the given data as below.

Q: Find the equation of parabola “y = ax2 + bx + c” passing through points (1, -6), (2, -3), (-1, 0)

A: Consider the given points and the equation of the parabola. Obtain the system of equations with a, b…

Q: 3- The parabola y= ax'+bx+e, mean that the equation y ax' is . .........

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Q: What is the equation of the parabola containing the points (0, 5), (–1,9), and (2, 3)? O y = r-z+5 O…

A: The standard form of a parabola is y=ax2+bx+c. The required parabola passes through the 3 points are…

Q: Below is the equation of a conic section such that the ordered pair (F, Fy) corresponds to its focus…

A:

Q: Q 2. Which conic section is represented by the equation 5æ² + 3y? – 15 = 0? O Parabola O Ellipse O…

A: Equation of ellipse is of the form  x^2/a^2+y^2/b^2=1

Q: 2 Write the equation of the hyperbola – 25 · x? + 16 · y² = 400 in standard form + = 1 %3D

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Q: Find the point on the hyperbola xy = 8 that is closest to the point (3,0)

A: Given: xy=8 so, y=8x now any point of given hyperbola can be written as x,8x so, let's that point on…

Q: Write the general conic form equation for a parabola with vertex at (2, 2) and focus at (1/2, 2). y…

A: Given problem:- Write the general conic form equation for a parabola with vertex at (2, 2) and focus…

Q: Which of the following is true about the hyperbola (y- 1)2 (x + 3)2 =1? 4. 9.

A: given hyperbola is y-124-x+329=1

Q: 9. ers 810, Consider the hyperbola with its equation x2 =y² + 9 %3D 9. What is the length of the…

A: Solve the above questions.

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: What is the equation in standard form of an ellipse whose center is at C(-3, 1), a vertex at V(-5,…

A: NOTE: Refresh your page if you can't see any equations. . the standard form of the ellipse is given…

Q: 17 Select the conic section represented by the equation. 4x 2 -y 2 + 24x + 4y + 28 = 0. circle…

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Q: 10. Draw the hyperbola with the equation: 3x? – 2y² + 6x – 8y = 6.

A: The given equation of hyperbola is: 3x2-2y2+6x-8y=6 Converting it into the normal form of hyperbolic…

Q: Which conic section is represented by the equation 9a? + 4y? = 36. O Parabola O Ellipse O Circle O…

A: Standard form of an ellipse is defined by : x-h2b2+y-k2a2=1.

Q: 2. Which conic section is represented by the équation 2x2 + 4x- y +9 = 0? O Hyperbola Ellipse O…

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

A: Suppose that the equation Ax2 + Bxy + Cy2 + Dx + Ey + F = 0 represents a conic section…

Q: 2. Write the general equation of the parabola with directrix at x FG,-1), and v (. -1). 2

A:

Q: What is the equation of the line that contains the vertices of the hyperbola (z+ 4)2 (y+2)² = -1? 16…

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Q: Find the extreme values of f(x, y) = e¬¤y for the points on the ellipse x² + 4y? = 1

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Q: 5. Which conic section is represented by the equation 36x² + 8y = 81? %3D Hyperbola Circle Ellipse…

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Q: What is the conic given by the equation 5x? – 6xy + 5y? – 12 = 0? - O A. Real ellipse O B.…

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Q: There is one point of intersection in the graphs of the conic (z + 1)² + (y + 2)² = 16 (y+ 2)° = 4…

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Q: . The general form of equation of an ellipse is given by Ax + Cy + Dx + Ey +F = 0, where A and C are…

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Q: I noticed that depending on the values for A and C,assuming that they are not both zero, the graph…

A: Depending on the values for A and C, assuming that they are not both zero, the graph of Ax2 + Cy2 +…

Q: What kind of conic has an equation of Ax2 + Cy2 + Dx + Ey + F = 0. a. circle               b.…

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Q: What is the standard form equation of the ellipse that has vertices (-1, –17) and (-1,7) and…

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Q: (a) Find and identify the traces of the quadratic surface x2 +y2 -z2 =1 and explain why the graph…

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Q: Which one of the following conics is a parabola? A 2 +y+5 = 4x B 22 + 3 = 4x +4 C 47 – 9y? + 32x –…

A: Any equation of the form Ax2+Bxy+Cy2+Dx+Ey+F = 0 , then it forms a parabola if and only if A = 0 or…

Q: By differentiating implicitly, find the slope of the hyperboloid 22 + y? – 22 = 1 in the x-direction…

A: We have to find slope of the hyperboloid x2+y2-z2=1 in the x-direction at the points (a) 1,2,2 (b)…

Q: 1-Sketch the following conic sections:. ,2-4y+8-42 0 b- y2 -4y-4x2 -8 3 -s)2 -7(*+1 -1 a- C-

A: Since you have posted multiple questions we solve the first three sub parts of first question for…

Q: Below is the equation of a conic section such that the ordered pair (Fx, Fy) corresponds to its…

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Q: 2. Which equation represents a parabola with vertex (4,4) and directrix y = 2? Oy=2x² - 4x + 4…

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Q: 2. 3x + 5y? - 6x – 20y + 25 = 0

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Q: Write the equation in general conic form of the circle that passes through the points (0,0), (0, 6),…

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Q: 5. Write the following equations in standard form and identify the corresponding conics a) x² – 4x +…

A: The given equations can be converted into standard forms by the method of completing square of x and…

Q: 11. X-3x+5y-930

A: We find find what this equation represents as following.

Q: 3. Write the equation into the standard form of the equation of the hyperbola: x² – 4xy + y² + 8x +…

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Q: 4. What is the focus of the parabola whose equation is -(y- 3)2 = (x – 2)? O A. (2, 1) OB. (0, 3)…

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