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# Should I use differential equations? ODES?

12. Consider a tumbleweed with mass of - kg rolling in the desert
(12 marks)
by the action of a strong wind. The wind was measured and it
is represented in the graph below.
W
E
2
The vertical axis represents the force of
the wind blowing to the Eastern direction
5
6
( negative means it's blowing towards the
West) in kg-km/h2, and the horizontal axis
represents hours after midnight.
(a) (6 marks) Find a formula for a function f(t) that approximately models the wind force. Justify
Hint. Consider the graph of the function y = et- as well as its horizontal asymptote.

Formula for function will be, f ( t ) = e... View the full answer

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