Suppose your annual income is I(t) = 48,000 + 2,000t    (0 ≤ t ≤ 3) dollars per year, where t represents the number of years since you began your job, while your annual expenses are E(t) = 36,000 + 1,500t    (0 ≤ t ≤ 3) dollars per year. Find the area (in dollars) between the graphs of I(t) and E(t) for 0 ≤ t ≤ 3.   $__________________

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Suppose your annual income is
I(t) = 48,000 + 2,000t    (0 ≤ t ≤ 3)
dollars per year, where t represents the number of years since you began your job, while your annual expenses are
E(t) = 36,000 + 1,500t    (0 ≤ t ≤ 3)
dollars per year. Find the area (in dollars) between the graphs of I(t) and E(t) for 0 ≤ t ≤ 3.
 
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