Given that f (t) = t² - t - 5 represents the rate at which air is escaping from a balloon in liters per minute, determine which of the following equations gives the volume of air in the balloon, V, after 4 minutes. ○ V (4) = V (0) + f² −t² − t − 5dt ○ V (4) = V (0) + 4 ² −² − − 5 dt ○ V (4) = 4 ₁ −t² – t – 5 dt ○ V (4) = 4√²-t² – t – 5 dt

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section: Chapter Questions
Problem 18T
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Given that f (t) = t² - t - 5 represents the rate at which air is
escaping from a balloon in liters per minute, determine which of
the following equations gives the volume of air in the balloon, V,
after 4 minutes.
○ V (4) = V (0) + S₁ −² − t – 5dt
○ V (4) = V (0) + 4 ₁¹² −² − − 5 dt
○ V (4) = 4 S² −t² – t – 5 dt
○ V (4) = 4 f₁² −t² – t – 5 dt
Transcribed Image Text:Given that f (t) = t² - t - 5 represents the rate at which air is escaping from a balloon in liters per minute, determine which of the following equations gives the volume of air in the balloon, V, after 4 minutes. ○ V (4) = V (0) + S₁ −² − t – 5dt ○ V (4) = V (0) + 4 ₁¹² −² − − 5 dt ○ V (4) = 4 S² −t² – t – 5 dt ○ V (4) = 4 f₁² −t² – t – 5 dt
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