AP Calculus BC / Parametric Equations, Polar Coordinates, and Vector-Valued Functions / Question No. 15

15. If \( f \) is a vector-valued function defined by \( f(t) = \left( \ln(\sin t),\ t^2 + e^{-t} \right) \), then the acceleration vector is

\( (-\csc^2 t,\ 2 + e^{-t}) \)

\( (\sec^2 t,\ 2 + e^{-t}) \)

\( (\csc^2 t,\ 2 - e^{-t}) \)

\( (-\csc^2 t \cdot \cot t,\ 2 + e^{-t}) \)

Answer is: option1

\( (-\csc^2 t,\ 2 + e^{-t}) \)

Solution:

\( (-\csc^2 t,\ 2 + e^{-t}) \)

Previous Next

Home Practice Questions AP Calculus BC Parametric Equations, Polar Coordinates, and Vector-Valued Functions Question No. 15