Acell culture contains 10 thousand cells, and is growing at a rate of r ( t ) = 12 e 0.17 t thousand cells per hour. find the total cell count after 6 hours. give your answer accurate to at least 2 decimal places.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)