An environmentalist finds that a certain type of tree grows in such a way that its height h(t) after t years is changing at the rate of h'(t) = 3t² +t ft/yr from planting up to a certain period of time. If the tree was 2 feet when it was planted, how tall will it be after a year?

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
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Solve the problem using concepts of Integrals

An environmentalist finds that a certain type of tree grows in such a way that its
height h(t) after t years is changing at the rate of
h'(t) = 3t² +t ft/yr
from planting up to a certain period of time. If the tree was 2 feet when it was
planted, how tall will it be after a year?
Transcribed Image Text:An environmentalist finds that a certain type of tree grows in such a way that its height h(t) after t years is changing at the rate of h'(t) = 3t² +t ft/yr from planting up to a certain period of time. If the tree was 2 feet when it was planted, how tall will it be after a year?
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