Reference: Calculus and Its Applications, 12th, by Marvin L. Bittinger andDavid Ellenbogen Book

Elementary Applied Calculus

I need help with questions

These are practice questions

Links to Book Below:

1. Calculus And Its Applications, Brief Version 12th edition | Print ISBN - 9780135164884, eText ISBN - 9780135225103 | VitalSource

2. Bittinger, Ellenbogen, Surgent & Kramer, Calculus and Its Applications: Brief Version, 12th Edition | Pearson

23. dE The rate at which a machine operator's efficiency, E (expressed as a percentage), changes with respect to time t is given by =30 - 10t, where t is the number of hours the operator has been at work. a) Find E(t), given that the operator's efficiency after working 2 hr is 72%; that is, E(2) = 72. b) Use the answer in part (a) to find the operator's efficiency after 3 hr, after 5 hr. a) E(1) = b) The operator's efficiency after 3 hours is The operator's efficiency after 5 hours is24. The rates of change in population for two cities are P'(t) = 45 for Alphaville and Q'(t) = 102 ed." for Betaburgh, where t is the number of years since 1990, and P' and Q' are measured in people per year. In 1990, Alphaville had a population of 5500, and Betaburgh had a population of 3000. Answer parts a) through c) a) Determine the population models for both cities. The population model for Alphaville is P(t) = The population model for Betaburgh is Q(t) = b) What were the populations of Alphaville and Betaburgh, to the nearest hundred, in 2000? The population of Alphaville in 2000 was people (Round to the nearest hundred as needed.) The population of Betaburgh in 2000 was people. (Round to the nearest hundred as needed.) c) Sketch the graph of each city's population model and estimate the year in which the two cities have the same population. Choose the correct graph below. O A OB J C. O D. + Population (1,0005) Population (1,0005) a Population (1,0005) APopulation (1,0005) 10 10- Q LA LA 25 The two cities have the same population in the year (Round to the nearest year as needed.)