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: Perform a rotation of axes to eliminate the xy-term. (Use x2 and y2 for the rotated coordinates.)…

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Q: What type of conic section is defined by the equation x² + 2xy + 3y² +6x + 3y - 1 = 0?

A:

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

A:

Q: 14. Consider the equation: y -8x+2x² –6y+13=0 (a) Show work to determine whether this equation…

A: Given : y2-8x+2x2-6y+13=0

Q: Amie claims that the equation 4(x+3)' +y² =1 represents a circle with the center at (-3,0) and the…

A:

Q: Solve the components of the given equation of conic sections and sketch the graph: а. 9y? — 4x2 +…

A: In this question we have to solve the following question.

Q: Graph the hyperbola. 2-4y - 8x-24y-36 = 0 14 12+ 10- 8- 4- 2- ? -14 -12 -10 -6. 6. 10 12 14 -2- 4-…

A: Graph of hyperbola

Q: 5. Write the equation of the ellipse given that the co-vertices are (-13,7), and (-3,7); and the…

A: Given: The co-vertices of ellipse are (-13,7) and (-3,7).Length of major axis=16   We are required…

Q: State whether the graph of each equation is a parabola, circle, ellipse, or hyperbola. State the…

A: To state whether the graph of the given equation is a parabola, circle, ellipse, or hyperbola. To…

Q: Q.9: Classify and find the standard equation of the conic section 4x² +9y² + 36y-16x + 16 = 0, then…

A: Given

Q: 2. A conic section has the equation, 3x2 + 6xy + y2 - x + y = 0. The curve is hyperbola parabola…

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Q: a. Find the equation of the conic passing through the points (0, 0), (0, 2), (−1, 0), (−2, 1) and…

A: As per the question we are giving the following five points on the xy-plane : (0, 0), (0, 2), (−1,…

Q: What is the equation of an ellipse having vertices at and a minor axis (0,+8,) which is 6 units in…

A: the standard equation of the vertical ellipse is given by x-h2a2+y-k2b2=1

Q: a. Find the equation of the conic passing through the points (0, 0), (0, 2), (−1, 0), (−2, 1) and…

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Q: 13.2y – x = 4

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Q: Name the conic section. Do not graph

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

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: 7. Convert the equati- conic section the e center. If it is a par 4x² - y² + 32x+6y +

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Q: For each equation, decide which type of conic section each equation represents (parabola, ellipse,…

A: To identify the type of conic section observe the given equation,Circle: Both x2 and y2 is present…

Q: 10. Write the standard form of the equation of the parabola with vertex (5, -3), opens right, and…

A: Solution

Q: Identify the type of conic section whose equation is given and find the vertices and foci. y? – 2 =…

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Q: 5. Which conic section is represented by the equation 36x² + 8y² = 811 Hyperbola Circle Ellipse…

A: The given equation is 36x2+8y2=81. We know that the equation x2a2+y2b2=1 with a,b≠0 represents the…