Integration

Rita Lamichhane

Student

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New University has an enrollment of 3000, but its projected rate of increase in number of students is dNdt=60000(t+1)3/2. Find the projected number of students after t years. What is the projected number of students after 8 years?

  • 10 Feb, 2025
Replies (1)
Vidhyamath Online

Instructor

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Solution:

N(t)=60000(t+1)3/2dt=60000×(2(t+1)1/2)+C=120000(t+1)1/2+C

Given N(0)=3000:

3000=120000(1)1/2+C3000=120000+CC=123000

Thus, the formula is:

N(t)=120000(t+1)1/2+123000

For t=8:

N(8)=120000(9)1/2+123000=120000×13+123000=40000+123000=83000

  • 10 Feb, 2025

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