2t³–1 H(t) = 1-et Here is a Desmos graph: (2, – 1) 1- 15 powedby desmos a) According to the graph, there appears to be a zero around 1. Identify this zero exactly. b) Explain how we know that there are no other zeros. c) According to the graph, there appear to be two critical numbers. You cannot solve for these algebraically. Show that there are two critical numbers and, for each critical number, give a small interval containing the critical number. Don't use any technology. Don't approximate anything. Give exact numbers for everything. Don't approximate anything for your reasoning Give algebraic exact reasoning for your analysis.

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