A car depreciates rapidly in value in its first few years and more slowly in later years.

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A car depreciates rapidly in value in its first few years and more slowly in later years. Given the rate at which the value of a car depreciates over the years, Vā€™(t) = 300(t ā€“ 8) for 0 ā‰¤ t ā‰¤ 8, and a sticker price of $12,000, find

(a) the value of the car V(t),

(b) the total amount by which the car depreciates in the first 4 years, and

(c) the total amount by which it depreciates in the next 4 years,

(d) Use the answer in

(a) evaluated at t = 4 to check your answer in (b).image text in transcribed

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