Work through the odd-numbered problems 1-9. Once you have completed the problem set, check your answers for the odd-numbered questions.
1. What is the slope of the line through and for and ? ? ? What happens to this last slope when is very small (close to 0)? Sketch the graph of for near .
3. What is the slope of the line through and for and ? ? ? What happens to this last slope when is very small? Sketch the graph of for near .
5. Fig. 9 shows the temperature during a day in Ames.
(a) What was the average change in temperature from 9 am to 1 pm?
(b) Estimate how fast the temperature was rising at 10 am and at 7 pm?
7. Fig. 11 shows the distance of a car from a measuring position located on the edge of a straight road.Problem 9 defines new functions in terms of AREAS bounded by the functions and . This may seem a strange way to define a functions , but this idea will become important later in calculus. We are just getting an early start here.
9. Define to be the area bounded by the and y axes, the horizontal line , and the vertical line at (Fig. 13). For example, is the area of the 4 by 3 rectangle.
a) Evaluate and .This work is licensed under a Creative Commons Attribution 3.0 License.