Math Problem Statement
This is also a calculator question. The path taken by a particle is given parametrically by x(t) = 3t/√(1+t^3) and y(t) = 3t^2/(1+t^3) for 0<_t<_15.
Give the cartesian equivalent of the path taken by the particle.
Solution
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Math Problem Analysis
Mathematical Concepts
Parametric Equations
Cartesian Coordinates
Algebra
Formulas
x(t) = 3t/√(1+t^3)
y(t) = 3t^2/(1+t^3)
y = x^2/3
Theorems
Conversion from Parametric to Cartesian Form
Suitable Grade Level
Grades 11-12, College
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