B'(t)
(00, 13)
(409)
(203)
(00)
(10,0)
An inflatable bounce house is being pumped with air. The rate at which the bounce hou
being uniformly pumped with air is modeled by the differentiable function B') .
in cubic feet per second, and t measured in seconds over the domain Ost<120. The graph of B'(t) is given above and has horizontal tangents at t = 60, t = 80, and t = 100
(a) Evaluate B"(t)dt. Include units.

Respuesta :

Answer:

-1 ft³/s

Step-by-step explanation:

∫₂₀¹⁰⁰ B"(t) dt = B'(t) |₂₀¹⁰⁰

∫₂₀¹⁰⁰ B"(t) dt = B'(100) − B'(20)

∫₂₀¹⁰⁰ B"(t) dt = 2 ft³/s − 3 ft³/s

∫₂₀¹⁰⁰ B"(t) dt = -1 ft³/s

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