Question: When an ice dam for a glacial lake breaks, the maximal outflow rate, Q in meters 3 sec is a function of V , the

When an ice dam for a glacial lake breaks, the maximal outflow rate, Q in meters3∕sec is a function of V , the volume of the lake (in millions of meters3).

(a) What are the units of dQ∕dV ?

(b) Observation shows that dQ∕dV |V =12 = 22. About how much is the difference in maximal outflow when dams break in two lakes with volumes near 12 ⋅ 106 meters3 if one of them has volume 500,000 meters3 greater than the other?

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