# The Fundamental Theorem of Calculus

### Exercises

#### Exercise 8

A bug crawls back and forth on a number line with velocity given by the graph below. Positive velocities correspond to movement in the positive direction on the number line.

(a) If the bug is at 0 on the number line when *t* = 0, determine the position of the bug at *t* = 3, 5, and 8 seconds.

(b) If the bug is at -10 on the number line when *t* = 0, determine the position of the bug at *t* = 3, 5, and 8 seconds.

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