Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in the quadratic equation. 10x? – 18xy + 10y2 – 45 = 0 (a) Identify the resulting rotated conic. O parabola hyperbola O ellipse (b) Give its equation in the new coordinate system. (Use xp and yp as the new coordinates.)

Q: Use the Principal Axes Theorem to perform a rotation of axes to eliminate the xy-term in 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: Identify and sketch the graph of the conic section.y2 + 8x + 6y + 25 = 0

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

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

A: Given - The quadratic equation 9x2 - 14xy + 9y2 - 48 = 0 To find - Use the Principal Axes Theorem to…

Q: Consider the following equation: y2-4x=0. 1) write the equation in shavers standard form and…

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

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Q: Determine the type of conic, angle of rotation needed to eliminate the XY-term to the nearest degree…

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

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

A: Given equation  9x2-10xy+9y2-46=0 The conic section with equation ax2+bxy+cy2+dx+ey+f=0 the…

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

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

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

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Q: Identify the conic represented by the equation, 5x2 + 2√3xy + 3y2 - 18 = 0 without using a rotation…

A: The equation Ax2+Bxy+Cy2+Dx+Ey+F=0 a) Parabola: If B2-4AC=0 b) Ellipse: If B2-4AC<0 c) Hyperbola:…

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

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

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

A: Given quadratic equation: 11x2-6xy+11y2-45=0 The general form is given by: Ax2+Bxy+Cy2+Dx+Ey+F=0 a)…

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

A: ANSWER:

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

A: If we rotate the axes through an angle θ then old co ordinate of a point p(x,y) will change to…

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

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Q: H. Identify the conic sections represented by the following formula a) 2x2 – 8xy + 4x = 12 b) x² + y…

A: I have solved first 3parts only and for all parts solution repost again

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

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Q: Identify the type of conic from the discriminant. y-2 = 0.0=45" ANSWER: Blank 1 Blank 1 Add your…

A: Check discriminant b^2-4ac is less than zero, greater than zero and is equal to zero.

Q: Find an equation of the conic in the rotated coordinates, and find the angle of rotation. 7x2 + 8xy…

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

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

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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: Find a polar equation of the conic in terms of r with its focus at the pole. Conic Parabola Vertex…

A: Here, the given vertex of the parabola is (12, π/2). As θ = π/2, the vertex is on the Y axis. The…

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

A: Consider the given information: The given quadratic equation is, 10x2-6xy+2y2-46=0

Q: Solve the components of the given equation of conic sections and sketch the graph: a. x2 + y2 – 10x…

A: Given

Q: Find the type of conic represented by the equation of the curve given by C=21 - 6xy+29y +6x-…

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Q: Consider the conic (a hyperbola) of equation 7x – 6xy – 7y² + 13x + 25y – 60 = 0 whose graph is…

A: We have to find the equation of the tangent lines to the hyperbola at the given point.

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

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

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

A: (i) If a conic Ax2+Bxy+Cy2+Dx+Ey+F=0 is non degenerate then the following condition holds.

Q: Find a new representation of 11x2 – 50/3xy – 39y² + 576 = 0 after being rotated through an angle of…

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Q: A. Write this equation in standard form: ? – 4y + 6x- 8y +1= 0. Show all of your work. B. Which type…

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Q: Perform a rotation of axes to eliminate the xy-term, and sketch the graph of the conic.7x2 − 2√3xy +…

A: Given      7x2 − 2√3xy + 5y2 = 16

Q: For the equation 9x + 4y - 54x-8y-59 = 0, classify the conic section, put the equation in standard…

A: Explanation: Given that,  9x2+4y2-54x-8y-59=0   Here we use the completing the square method in term…

Q: Identify the conic represented by the equation, 5x2 - 8xy + 7y2 - 9√5x - 9 = 0 without using a…

A: Consider the given equation of conic  5x2-8xy+7y2-95x-9=0 Now, compare the given equation of conic…

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

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Q: identify the conic with the given equation and give its equation in standard form.     6x^2 − 4xy…

A: The general form of a second-order quadratic function is given by ax2+2hxy+by2+2gx+2fy+c=0, where…

Q: Identify and graph the conic whose equation is 5x2 + 4xy + 2y2 = 6

A: Solution: Consider the given equation of conic is : 5x2 + 4xy + 2y2 = 6 Comparing the given equation…