14. A particle moves in the \( xy \)-plane so that its position at time \( t > 0 \) is given by \( x(t) = e^t \cos t \) and \( y(t) = e^t \sin t \). What is the speed of the particle when \( t = 2 \)?
Answer is: option2
Solution:
\( \sqrt{2}e^2 \)
