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Unformatted text preview: Suppose a particular species of insect grows in such a way that the volume of an individual is ) 52 . 3 4 . 01 . ( 41 . ) ( 2 + +-= T T T V cm 3 when the temperature is T o C, and that its mass is m grams, where V V V m 09 . 1 39 . ) ( + = (i) Find the rate of change of the insect’s volume with respect to temperature. (ii) Find the rate of change of the insect’s mass with respect to volume. (iii) When T = 10 o C, what is the insect’s volume? At what rate is the insect’s mass changing with respect to temperature when T = 10 o C? *V.A. Tucker and K. Schmidt-Koenig, “Flight Speeds of Birds in Relation to Energetics and Wind Directions, The Auk, Vol. 88, 1971, pp. 97-107....
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- Spring '97