Find the values of a and b for which the system {x+y+z = 3 2x-y+3z = 4 5x-y+az =b has

a. no solution
b. a unique solution and find its solution
c. many solution and find its solution

What are the exclude value of mn+3m

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)

Describe the symmetry of the figure. identify lines of symmetry, if any. find the angle and the order of any rotational symmetry.