Question

A particle moves in the x-y plane for t > 0 so that x(t) = t2 + 6t and y(t) = e-t. At time t = 1, the particle is moving (20 points)

A) to the left and up
B) to the right and up
C) to the left and down
D) to the right and down

Answer 1

You meant:
x(t) = t^2 + 6t and y(t) = e-t
then x'(t) = 2t and y'(t) = -e^t
x'(1) = 2 and y'(1) = -e

x'(1) is positve and y'(1) is negative.
What does not mean?