3. Transform into standard form and identify the conic sections: a) 92²-4y²-36x-24y-35-0. b) x²-3xy + y²-y=0. 9m

Q: Determine the type of conic section that each general equation will produce. a.)x²+y²+8-4y-2=0…

A: To determine the type of conic section.

Q: Identify the conic 9x2 – 4y² – 18x + 24y + 9 = 0. Determine the foci, center and end points of the…

A: Identify the conic 9x2-4y2-18x+24y+9=0 Determine the foci, center, and endpoints of the major and…

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: h the following conic sections: y2 -4y +8-4x = 0 %3D

A:

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

A:

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: Write the equation of the hyperbola 16x² - 9y² +96x - 72y - 144 = 0 in standard form Where: h = k= a…

A:

Q: 3. Identify the conic using the indicator. By a rotation of the coordinate axes, transform the…

A: Given: The equation of the conic is given by:…

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

A: Given

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: (y+1)? (x-2)2 2.Find the standard equation of the hyperbola whose standard equation is 9. %3D 16

A:

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

A:

Q: (b) Find for what value of the equation 12x²+36xy + y² + 6x + 6y + 3 = 0 represents a pair of…

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Q: Find the equations of the following conics and quadric surfaces relative to principal axes. 3x² +…

A: The answer provided below has been developed in a clear step by step manner

Q: 1) Identify the conic sections and graph: a) (x-5)^2/100-(y+3)^2/64=1 b) (x+7)^2/5^2+(y+3)^2/3^2=1

A: On comparing with the standard form x-h2a2+y-k2b2=1 The given equation is a ellipse with center (h,…

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: Find an equivalent quadratic form by using a diagonal rotation, (by the principle axis theorem. I…

A: Given: Q=2x2+4y2+6yz-4z2=80

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: What is the center, vertices, co-vertices, foci, and asymptotes of the hyperbola conic in standard…

A: The standard form of equation of hyperbola with the horizontal transverse axis is given by Having…

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

A:

Q: Use the information provided to write the general conic form equation of each hyperbola. 8)…

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

A:

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: (x + 2)²² 9 + 2 (y − 1) 25 = 1

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.