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AP Calculus AB/BC
Unit 9 – Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)
Topic 9.1
A particle moves on the xy-plane. The following equations about the particle’s movement are true: dy/dx = 4t^2 - 1 and dx/dt = t. Find y(t) given that y(0) is 25.
y(t) = 4t^2 - 1 + 25/t
y(t) = 4t^3 - t + 25
y(t) = t^4 - (t^2)/2 + 25
There is not enough information to determine y(t).
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AP Calculus AB/BC - 9.1 Defining and Differentiating Parametric Equations
Key terms
dx/dt
dy/dx
y(t)
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