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|The projected rate of increase in enrollment at Newhampton College is estimated |by dE 5000(t + 1)~3/2, dt where E(t) is the projected enrollment in t years (t > 0).

|The projected rate of increase in enrollment at Newhampton College is estimated |by dE 5000(t + 1)~3/2, dt where E(t) is the projected enrollment in t years (t > 0).

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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From 2025 to 2030 there is a net change of 1067 students.

(t=0 corresponding to the current year, 2020)

About 1/3 of Newhampton's students live on-campus, while the other 2/3 live off- campus. The campus leadership estimates that the college earns $10,000 in tuition and fees for every off-campus student and $15, 000 in tuition and fees per on-campus student. Using your answer from the previous question, project the net change in revenue from tuition and fees over the 2025-2030 time period.
Transcribed Image Text:About 1/3 of Newhampton's students live on-campus, while the other 2/3 live off- campus. The campus leadership estimates that the college earns $10,000 in tuition and fees for every off-campus student and $15, 000 in tuition and fees per on-campus student. Using your answer from the previous question, project the net change in revenue from tuition and fees over the 2025-2030 time period.
The projected rate of increase in enrollment at Newhampton College is estimated by dE 5000(t + 1)-3/2, dt %3D where E(t) is the projected enrollment in t years (t > 0).
Transcribed Image Text:The projected rate of increase in enrollment at Newhampton College is estimated by dE 5000(t + 1)-3/2, dt %3D where E(t) is the projected enrollment in t years (t > 0).
Expert Solution
Step 1

Isolate the variables E and t in the given differential equation.

dEdt=5000t+1-32dE=5000t+1-32dt

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