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Show transcribed image text Insect Growth. The growth of some insects depends on temperature. Suppose a particular species of insect grows such that the volume of an individual is V(T) =一0.004178 + 0.164T + 1.4432 cm". when the temperature is T °C, and its mass is m grams where 0.39V 1+0.09V (a) Find the rate of change of the insect's volume with respect to temperature. What are the units? (b) Find the rate of change of the insect's mass with respect to volume. What are the units? c) When T 10°C, what is the insect's volume? At what rate is the insect's mass changing with respect to temperature when T-10°C?
Insect Growth. The growth of some insects depends on temperature. Suppose a particular species of insect grows such that the volume of an individual is V(T) =一0.004178 + 0.164T + 1.4432 cm". when the temperature is T °C, and its mass is m grams where 0.39V 1+0.09V (a) Find the rate of change of the insect's volume with respect to temperature. What are the units? (b) Find the rate of change of the insect's mass with respect to volume. What are the units? c) When T 10°C, what is the insect's volume? At what rate is the insect's mass changing with respect to temperature when T-10°C?
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