Concept explainers
Torricelli’s law An open cylindrical tank initially filled with water drains through a hole in the bottom of the tank according to Torricelli’s law (see figure), if h(t) is the depth of water in the tank for t ≥ 0 s, then Torricelli’s law implies
- a. Find the solution of the Initial value problem.
- b. Find the solution in the case that k = 0.1 and H = 0.5 m.
- c. In part (b), how long does It take for the tank to drain?
- d. Graph the solution in part (b) and check that it Is consistent with part (c).
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Calculus: Early Transcendentals (3rd Edition)
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- Calculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,