Level of Water from Melting Snow Melting snow causes a river to overflow its banks. Let h(...

Level of Water from Melting Snow Melting snow causes a river to overflow its banks. Let h(t) denote the number of inches of water on Main Street t hours after the melting begins.

(a) If h′(100) =  by approximately how much will the water level change during the next half hour?

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(b) Which of the following two conditions is the better news?

(i) h(100) = 3, h′(100) = 2, h″(100) = −5

(ii) h(100) = 3, h′(100) = −2, h″(100) = 5