A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. 1. Fish enter a lake at a rate modeled by the function E given by E(t) = 20 + 15 sin| ), Fish leave the lake at a rate modeled by the function L given by L(t) = 4+ 20.1 . Both E(t) and L(t) are measured in fish per hour, and t is measured in hours since midnight († = 0). (a) How many fish enter the lake over the 5-hour period from midnight (t = 0) to 5 a.M. (t = 5) ? Give your answer to the nearest whole number. (b) What is the average number of fish that leave the lake per hour over the 5-hour period from midnight (t = 0) to 5 a.M. (! = 5) ? (c) At what time 1, for 0 < 1 < 8, is the greatest number of fish in the lake? Justify your answer. (d) Is the rate of change in the number of fish in the lake increasing or decreasing at 5 A.M. (t = 5) ? Explain your reasoning.

A GRAPHING CALCULATOR IS REQUIRED FOR THESE QUESTIONS. 1. Fish enter a lake at a rate modeled by the function E given by E(t) = 20 + 15 sin| ), Fish leave the lake at a rate modeled by the function L given by L(t) = 4+ 20.1 . Both E(t) and L(t) are measured in fish per hour, and t is measured in hours since midnight († = 0). (a) How many fish enter the lake over the 5-hour period from midnight (t = 0) to 5 a.M. (t = 5) ? Give your answer to the nearest whole number. (b) What is the average number of fish that leave the lake per hour over the 5-hour period from midnight (t = 0) to 5 a.M. (! = 5) ? (c) At what time 1, for 0 < 1 < 8, is the greatest number of fish in the lake? Justify your answer. (d) Is the rate of change in the number of fish in the lake increasing or decreasing at 5 A.M. (t = 5) ? Explain your reasoning.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

See similar textbooks