For each of the following quadratic equations in x and y, determine which conic section it is. Acceptable answers are: ellipse, hyperbola or parabola. 1553049z? – 310464.xy + 1293601y² – 15041430x – 9142260y – 216143100 = 0 ellipse -25962? – 25440ry – 27824y? – 132912x – 375232y – 619216 = 0 2184961a? + 403200xy + 3663241y? – 21650574r – 64117782y – 305319559 = 0 -9639z? – 132000xy – 27664y? – 318864x – 1532416y – 1620016 = 0 -1080009z? + 2334024xy + 870484y? + 33704370r + 3000840y + 237926475 = 0

Q: Express the following equation in standard form, identify the conic section, and state the locations…

A: Conic section

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A: The given equation of the hyperbola is: 36x2-49y2-100=0 Rewrite the equation:…

Q: State whether the equation x² + ()² + 6z² = 1 defines O a hyperboloid of two sheets. O a paraboloid…

A:

Q: 1. A parabola has equation -12x + y? – 24 = 0. Write the equation in standard form.

A: The equation of the parabola is, - 12x + y² - 24 = 0 So, y² = 12x + 24

Q: The conic section with equation 2 9 + y² = 1 is: 16

A:

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

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A: Given information:  1. Sun is one of the focus of hyperbola . 2. The Sun co-ordinate is 0,0.…

Q: State whether the equation z - ()² = (+)² defines a hyperboloid of two sheets. an ellipsoid. a…

A:

Q: 3. Find the equation of the parabola that opens downwards, has a vertex in the center of the ellipse…

A: Given equation of the ellipse is 27x2+y2+108x-10y+52=0…

Q: Arrange the parabolas represented by the equations according to the positions of their foci on the…

A: The standard form of a parabola is  (x – h)2 = a(y – k) where (h, k) is the vertex.