Math Problem Statement
(2 points) Consider the parametric curve defined by the image of r⃗ (t)=⟨−6t2,t3−5t⟩ .
(c) Find d2y/dx2 when t=2.5 .
d2ydx2∣∣∣t=2.5=
Solution
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Math Problem Analysis
Mathematical Concepts
Calculus
Parametric Equations
Derivatives
Formulas
dy/dx = (dy/dt) / (dx/dt)
d²y/dx² = (d/dt(dy/dx)) / (dx/dt)
Theorems
Quotient Rule
Chain Rule
Suitable Grade Level
Grades 11-12
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