# canonical formulas of conical sections and their properties

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1. Solve the system of equations algebraically. Be sure to find all

solutions!

X^2+y^2=10

2x^2-y^2=17

I got not sure if it's right or missing

x=2.999999976132

Y=0.999999870315

2. Find the coefficient of the term x^5 y^3 in the expansion of (4x-y)^8

3. Put each conic in standard form; identify the conic, , state

vertices, centers, asymptotes where applicable.

1) x^2 = 4y−8

Standard Form:

Identify which Conic Section:

Characteristics applicable:

Center:

Vertices:

Asymptotes:

2) 9(x−2)^2−16(y+1)^2=144

Standard Form:

Identify which Conic Section:

Characteristics applicable:

Center:

Vertices:

Asymptotes:

4(x−3)^2+25(y+2)^2=100

Standard Form:

Identify which Conic Section:

Characteristics applicable:

Center:

Vertices:

Asymptotes:

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##### Solution Summary

The solution shows how the coefficients of canonical form of certain conical sections relate to their attributes.

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