Step 1: Find \( f(r(t)) \):
Given \( f(x, y) = e^{x} - 1 \cdot xy \), and \( r(t) = \langle t^2, t^3 \rangle \),
Substitute \( x = t^2 \) and \( y = t^3 \) into \( f(x, y) \):
\( f(r(t)) = e^{t^2} - 1 \cdot t^2 \cdot t^3 = e^{t^2} - t^5 \)
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