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10 cards from this deck
They represent a curve via xxx and yyy as functions of ttt.
x=f(t)x = f(t)x=f(t) and y=g(t)y = g(t)y=g(t), where ttt is the parameter.
It defines both xxx and yyy as it varies.
Find a direct relationship y=h(x)y = h(x)y=h(x) by substituting.
dy/dx=(dy/dt)/(dx/dt)dy/dx = (dy/dt) / (dx/dt)dy/dx=(dy/dt)/(dx/dt) using the chain rule.
Area = ∫ydxdtdt\int y \frac{dx}{dt} dt∫ydtdxdt.
They model motion or complex curves easily.
x=5t+3x = 5t + 3x=5t+3 and y=2t−4y = 2t - 4y=2t−4, defined for 0≤t≤50 ≤ t ≤ 50≤t≤5.
Eliminate the parameter by substitution between equations.
Eliminate the parameter to express yyy in terms of xxx.
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