Word Problems on Instantaneous and Average Rate of Change Math 3204

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Word Problems on Instantaneous and Average Rate of Change Math

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Presentation transcript:

Word Problems on Instantaneous and Average Rate of Change Math 3204 2006-2007

Instantaneous Rate of Change The power P, in watts, supplied to a circuit by a battery is given by the formula, where I is the current in amperes. What is the approximate instantaneous rate of change of power when the current is 4 amperes?

Instantaneous Rate of Change A flashlight projects a circular image with a radius of 10cm. As the flashlight is moved away from the wall, the radius of the circular image increases increasing the area as given by the formula, where t is time in seconds. What is the instantaneous rate of change in the area of the circle at 4 seconds?

Average Rate of Change The table indicates the number of cases of West Nile Virus over a period of 4 months. What is the average rate of change, in cases per month, between months 2 and 4? Month 1 2 3 4 # of Cases 22 34 30 16

Average Rate of Change An ice cube has a side length of 9 cm. The ice cube is melting and thus the Volume is given by the formula, where t is time in minutes? What is the average rate of change in the first 5 minutes?

Average Rate of Change An ice cube has a side length of 9 cm. The ice cube is melting and thus the Volume is given by the formula, where t is time in minutes. What is the average rate of change between 2 minutes and 5 minutes?

Instantaneous Rate of Change An ice cube has a side length of 9 cm. The ice cube is melting and thus the Volume is given by the formula, where t is time in minutes. What is the instantaneous rate of change at 5 minutes?