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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