The cost, in dollars, of producing x yards of a certain fabric is given by C(x) = 84 + 0.16x – 0.0006x2 + 0.000003x. 1. Find the average rate of change of C over the interval [80, 120]. What does this value represent in the context of this problem? Include correct units. 2. Find C'(100). What does this value represent in the context of this problem? Include correct units.

14. If a baby is dropped from a height of 300 meters, its height s at time t is given by s(t) = -4.91² + 300 where s is measured in meters and t is measured in seconds. a. Find the average rate of change on the interval [0,2] seconds. b. Find the instantaneous speed at 4 seconds.

-3 to z = 4. Find the average rate of change of g(x) = -x³-5 from x=- Written Example

A college language class was chosen for a learning experiment. Using a list of 50 words, the experiment measured the rate of vocabulary memorization at different times during a continuous 6-hour 15 for 1sts6. Find the area between t study session. The average rate of learning for the entire class was inversely proportional to the time spent studying, and was given approximately by V' (t)- the graph of V' and the t-axis over the interval [2.4), and interpret the results The area between the graph of V" and the t-axis over the interval (2.4] is approximately (Round to the nearest whole number as needed) Interpret the results. Choose the correct answer below. GELE A. The area between the graph of V' and the t-axis over the interval [24] is the average number of words learned from t=2 hr to t=4 hr. OB. The area between the graph of V' and the t-axis over the interval (2.4] is the average difference between the rate of learning at 1-2 hr and the rate of learning at t=4 hr. OC. The area…