### Home > CALC > Chapter 4 > Lesson 4.3.1 > Problem4-99

4-99.

Using complete sentences, describe what each of the following graphs represents. Then, identify the physical quantity represented by the notation below the graph.

1. $s^\prime(t)$

$s'(t)=\frac{ds}{dt}=\text{ instantaneous }\frac{\Delta \text{feet}}{\Delta \text{time}}$

1. $\int _ { a } ^ { b } r(t)dt$

$\frac{\text{sales}}{\text{hour}}$ indicates a rate graph and an integral is an area function.

Be sure to mention the significance of the bounds.

1. $\int _ { a } ^ { b } w(i)di$

Refer to the hints in part (b).