Look at the shapes below:

How do you see the pattern growing?
How many squares are in figure 10? Explain how you know.
How many squares are in figure 55? Explain how you know.
Can you use 190 squares to make a stair-like structure? Mathematically justify your answer.
How can you figure out how many total squares are in any figure?
If you have 1,478 squares, can you make a stair-like structure using all of the squares?

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)