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AP Calculus AB/BC
Unit 9 – Parametric Equations, Polar Coordinates, and Vector–Valued Functions (BC Only)
Topic 9.2
The motion of a rolling ball on the coordinate plane is given by the set of parametric equations y(t) = 12cos(t) and x(t) = 6e^t. Which of the following derivatives is incorrect?
dy/dx = 2sin(t)/e^t
d^2y/(dx*dt) = (-2cos(t) + 2sin(t))/e^t
dx/dt = 6e^t
d^2y/dx^2 = (-cos(t) + sin(t))/3e^(2t)
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AP Calculus AB/BC - 9.2 Second Derivatives of Parametric Equations
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Derivative
Parametric Equations
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AP® and SAT® are trademarks registered by the College Board, which is not affiliated with, and does not endorse this website.
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