Consider the following 2 equations: x-2y+4z=12 2x+y-z=4 i) show that the system is consistent and write an expression for any solution in terms of an unknown parameter α. that is, find an expression for {x(α),y(α),z(α)}. ii) make up a third equation (your choice) which is redundant. iii) make up a third equation (your choice) which makes the system inconsistent. iv) make up a third equation (your choice) which is consistent and not redundant. show that the solution of the new 3-equation system is unique and compute it.

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)