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Chapter 1: Q 82. (page 150)

Suppose instead we consider the population model

Qt=44脳10101+2027-t43

with t measured in years as in the previous problem.

(a) Use limit techniques to calculate limt鈫�鈭�Qt. What does this limit mean in real鈥搘orld terms? What happens in this model in the year 2027?

(b) Use calculator graphs to compare the population models in this exercise with those in the previous exercise. Describe the long鈥搕erm population growth

scenarios that are suggested by these models.

Short Answer

Expert verified

(a) Answer is 0.

(b) Answer is44脳1010

Step by step solution

01

Step 1. Given information

The population model isQt=44脳10101+2027-t43

02

Part (a) Step 1. Explanation

limt鈫�鈭�Qt=limt鈫�鈭�44脳10101+2027-t43=44脳10101+2027-鈭�43=44脳1010鈭�=0

03

Part (b) Step 1. Explanation

limt鈫�2027-Qt=limt鈫�2027-44脳10101+2027-t43=44脳10101+2027-202743=44脳10101+0=44脳1010

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Most popular questions from this chapter

For each limit statement in Exercises 41-44, use algebra to find 未or Nin terms of 蔚or M, according to the appropriate formal limit definition.

limx鈫�鈭�x2+2=鈭�,findNin terms ofM.

State what it means for a functionf to be continuous at a point x = c, in terms of the delta鈥揺psilon definition of limit.

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