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building acre complex ural community of Glen Cove. As a result of this development, the planners have estimated that C 25+125t+200 thousands) t years from now will be given by P(t) = t² + 5t +40 a. Find the rate at which Glen Cove's population is changing with respect to time. b. What will be the population after 10 years? At what rate will the lation be increasing 10?

building acre complex ural community of Glen Cove. As a result of this development, the planners have estimated that C 25+125t+200 thousands) t years from now will be given by P(t) = t² + 5t +40 a. Find the rate at which Glen Cove's population is changing with respect to time. b. What will be the population after 10 years? At what rate will the lation be increasing 10?

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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64. POPULATION GROWTH A major corporation is building a 4325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by P(t) = 25+125t+200 ²+5t +40 a. Find the rate at which Glen Cove's population is changing with respect to time. b. What will be the population after 10 years? At what rate will the population be increasing when t= 10? 4
Transcribed Image Text:64. POPULATION GROWTH A major corporation is building a 4325-acre complex of homes, offices, stores, schools, and churches in the rural community of Glen Cove. As a result of this development, the planners have estimated that Glen Cove's population (in thousands) t years from now will be given by P(t) = 25+125t+200 ²+5t +40 a. Find the rate at which Glen Cove's population is changing with respect to time. b. What will be the population after 10 years? At what rate will the population be increasing when t= 10? 4
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