MATH 1080 Quiz: Quiz3V3

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Use differentials to determine the approximate change in the volume. The gas in a spherical balloon contracts causing a reduction in the radius of the balloon from of the balloon. Z < < $ . < ! !# . z % $ ! !# ! (# Water escapes from a corroded pipe at a rate of. , the amount of water (in litres) lost at time hours, if the amount of water lost at time litres/hour. #> . > $> > g. Z # 0 $ # # g. 0 #% % g g % Find the third order taylor polynomial approximation of. $ " b $ . $ " b $ " b $ % b $ For the function 0 b b % (a) find all local extrema for. 0 b "b b # ! 0 b b # w and a local min at. B # has a local max. at.