Solve the problem.
-The rate of flow of a continuous income stream (in thousands of dollars per day) is given by Find the total income produced during the first ten days of operation.
A) $58,874.14
B) $2843.18
C) $239.79
D) $2397.90

Question

Solve the problem.
-The rate of flow of a continuous income stream (in thousands of dollars per day) is given by  Find the total income produced during the first ten days of operation.
A) $58,874.14 
B) $2843.18 
C) $239.79 
D) $2397.90

Quizplus · Accepted Answer

To find the total income produced during the first ten days of operation, we need to find the definite integral of the given function from 0 to 10:

∫₀¹₀ 11e^(0.6t) dt

Using integration by substitution with u = 0.6t and du = 0.6 dt, we get:

∫₀¹₀ 11e^(0.6t) dt = (11/0.6) e^(0.6t) |₀¹₀ 
= (11/0.6) (e^6 - 1) 
≈ $2397.90

Therefore, the best choice is D, which is the only option that matches the calculated answer.

Solve the Problem. -The Rate of Flow of a Continuous Income Stream (In