- #1
casafreako
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y=x^5
x=y(y-1)^2
find points of intersect correct to 1 decimal point
x=y(y-1)^2
find points of intersect correct to 1 decimal point
Parametric Equations, Solve for Points of Intersection
- Thread starter casafreako
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SUMMARY
The discussion focuses on solving for points of intersection between the equations y = x^5 and x = y(y - 1)^2. Participants clarify that these equations are not in parametric form and emphasize the need to express them as two functions: y(t) and x(t). The goal is to find the intersection points correct to one decimal point, which requires transforming the equations appropriately.
PREREQUISITES- Understanding of polynomial equations and their graphs
- Knowledge of parametric equations and their representation
- Familiarity with algebraic manipulation techniques
- Basic skills in numerical approximation methods
- Learn how to convert standard equations to parametric form
- Study numerical methods for finding intersections of curves
- Explore graphing tools like Desmos for visualizing polynomial functions
- Investigate the use of calculus in determining points of intersection
Mathematicians, engineering students, and anyone interested in solving complex equations and understanding the intersection of functions.
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