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I really need HELP with this problem! A bird is very sensitive to the temperature. It notices that when it flies in the direction i, the temperature increases at a rate of 0.03 Celsius per centimeter. When it flies in the direction j, the temperature decreases at a rate of 0.02 Celsius per centimeter. When it flies in the direction k, the temperature increases at the rate of 0.05 Celsius per centimeter. It decides to fly off in the direction of the vector <2,5,1>=2i+5j+k. Will it be getting warmer or colder and at what rate?
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