Exercises 2.2 Terms and Concepts 1 What is the instantaneous rate of change of position In Exercises 15-18, graphs of functions Fx) and gx) ar iven. Identify which function is the derivative of the other. called? 2. Given a function y fix, in your own words describe to find the units of f(x). 3. What functions have a constant rate of change? Problems 4. Given/(5)= 10 andr(S)-2, approximate/(6). 5. Grven P(100) = -67 and P(300) 5·approximate PI110) 6. Given z(25)-187 andz(25) 17, approximate z (20) 7. Knowing02 andf(10)-5 and the methods de- scribed in this section, which approximation is ikely to be most accurate: 10.1. f(11), orfi 201 ? Explain your rea- soning 8. Given A(7)-26 and 8)- 22, approximatef'(7). 9. Given H(0)-17 and H(2)-29, approximate ã¡(2). 17, 10. Let Wx) measure the volume, in decibels, measured inside a restaurant with xcustomers. Whatare the units of V()? 11. Let vit) measure the velocity, in ft/s, of a car moving in a straight line t seconds after starting. What are the units of 18. 12. The height M, infeet, of a river is recorded t hours after mid night, April 1 What are the units of H()? 13. Pis the profit, in thouiands of doliars, of producing and sell ing c cars Review al What are the units of P(c) b) what is likely true of PiO) In Exercises19-20, se the definition to compute the deriv tives of the followinge functions 14. T is the temperature in degrees Fahrenheit, h hours after Sidney, NE. 19. fx) midnight on July 4 20. fx)-(-z) In Exercises 21-22, mumerically approximate the value c f (x) at the indicated x value. (a) What are the units of T"(h)P (b) IsT (8)Skely greater than or less than O? Why? e) s T(8) likely greater than or less than 0? Why?
