A square-shaped sheet of ice is growing as time passes. If the sheet of ice is always in the shape of a square, and the length of one side after t hours is s meters, where tan¯¹(t) then what is the instantaneous rate of change of the area of the square after 3 hours? S=

Calculus For The Life Sciences
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Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
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A square-shaped sheet of ice is growing as time passes. If the sheet of ice is always in the
shape of a square, and the length of one side after t hours is s meters, where
S = V
tan¯¹(t)
then what is the instantaneous rate of change of the area of the square after 3 hours?
Transcribed Image Text:A square-shaped sheet of ice is growing as time passes. If the sheet of ice is always in the shape of a square, and the length of one side after t hours is s meters, where S = V tan¯¹(t) then what is the instantaneous rate of change of the area of the square after 3 hours?
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