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dT Avalanche forecasters measure the temperature gradient which is the rate at which the temperature in a snowpack T changes with dh respect to

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dT Avalanche forecasters measure the temperature gradient which is the rate at which the temperature in a snowpack T changes with dh respect to its depth h. A large temperature gradient may lead to a weak layer in the snowpack. When these weak layers collapse, dT dh avalanches occur. Avalanche forecasters use the rule of thumb that if exceeds 10C/m anywhere in the snowpack, conditions are favorable for weak-layer formation, and the risk of avalanche increases. Assume the temperature function is continuous and differentiable. Complete parts (a) through (d) below. a. An avalanche forecaster digs a snow pit and takes two temperature measurements. At the surface (h=0), the temperature is -14C. At a depth of 1.1 m, the temperature is -2C. Using the Mean Value Theorem, what can he conclude about the temperature gradient? The average temperature gradient from h = 0 to h = 1.1 isC/m. (Simplify your answer. Round to the nearest tenth as needed.)

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