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Problem 3. The number of giant pandas in China at the beginning of the year 20 was 9205. The population of pandas has been growing at the rate of 6(t - 2000)² pandas per year since then. (Here t denotes the year so that t = 2000 is the beginning of the 2000, t = 2000.5 is the middle of the year 2000, and so on.)

Problem 3. The number of giant pandas in China at the beginning of the year 20 was 9205. The population of pandas has been growing at the rate of 6(t - 2000)² pandas per year since then. (Here t denotes the year so that t = 2000 is the beginning of the 2000, t = 2000.5 is the middle of the year 2000, and so on.)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Problem 3. The number of giant pandas in China at the beginning of the year 2000 was 9205. The population of pandas has been growing at the rate of 6(t - 2000) ² pandas per year since then. (Here t denotes the year so that t = 2000 is the beginning of the year 2000, t = 2000.5 is the middle of the year 2000, and so on.) Use the Net Change Theorem to find the number of giant pandas at the beginning of the year 2010. Show your work carefully.
Transcribed Image Text:Problem 3. The number of giant pandas in China at the beginning of the year 2000 was 9205. The population of pandas has been growing at the rate of 6(t - 2000) ² pandas per year since then. (Here t denotes the year so that t = 2000 is the beginning of the year 2000, t = 2000.5 is the middle of the year 2000, and so on.) Use the Net Change Theorem to find the number of giant pandas at the beginning of the year 2010. Show your work carefully.
Expert Solution
Step 1

Net change theorem :

∫abF'(t)dt=F(b)-F(a)

Give rate of growth

6(t-2000)2=F'(t) (assume)

Where F(t) is population of Panda at time 't'

Given number of Giant panda's in China at the beginning of year 2000 was 9205 i.e. F(2000)=9205 and

We have to find the number of Panda's at the beginning of year 2010. i.e. F(2010)=?

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