(b) The equation 7x2 - 3xy + 5y² + 4x - 16y- 121 = 0 represents a non-degenerate conic. (i) Determine the type of conic.

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

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Q: Identify and find the equation of the conic in standard form: vertices at Vi(12, 4) and V2(-10,4),…

A: Given: Vertices: V1 = (12,4) ,  V2 = (-10,4) Foci : F1 = (10,4)  F2 = (-8,4)

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: 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 quadratic equation is 10x2-18xy+10y2-45=0

Q: Rewrite to standard form by completing the square and identify the conic: a) x² +16y² - 10x +96y +…

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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,        2x2+4xy+2y2+92x+42y+4=0 The equation represents the conic "Parabola."

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

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Q: 6x² - 4xy + 6y2 - 25 = 0 (a) Identify the resulting rotated conic. O parabola O hyperbola O ellipse…

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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: Perform a rotation of axes to eliminate the xy-term. (Use x_2 and y_2 for the rotated coordinates.)…

A: Given that, The equation of the conic is 6x2-43xy+2y2+4x+43y=0

Q: Write a pair of parametric equations for the conic section. t² Ox=-₁₁y=t x=t, y = t² 3 --2 +…

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Q: Write the equation in standard form, identify the conic and the location of its center or vertex:…

A: We have to find the equation of the conic.

Q: + 2x + y² – 2y = 2

A: NOTE: Refresh your page if you can't see any equations. . add 1 to both sides

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

A: To transform the equation use the transformation  x=x'cosθ-y'sinθy=x'sinθ+y'cosθ The equation of…

Q: Sketch the graph of the conic (x +1)? = 1 25 16 +

A: We have to sketch the graph of the conic equation x+1216+y225=1. We have to determine the type of…

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

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