Applied Calculus/Linear Algebra - Let W(t) be the number of centimerters of rainfall that has fallen t hours since midnight. Interpret the following in practical terms, giving units. A) W(10)=3.4 B) W'(10)=0.4 C) W"(10)=0.2

Question

Applied Calculus/Linear Algebra - Let W(t) be the number of centimerters of rainfall that has fallen t hours since midnight.  Interpret the following in practical terms, giving units.  A) W(10)=3.4 B) W'(10)=0.4 C) W"(10)=0.2

experimentx · Answer

at 10 ... you have 3.4 .. of rainfall
at 10 ... you have 0.4 as instantaneous increment of rainfall.
at 10 ... the rate increment of rainfall is increasing by 0.2

.... in other words, at 10 you will have a huge flood

anonymous · Answer

Thank you!