Question

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.

Answer 1

-1 ft³/s

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