Let h(w, f) = √(1 + wf) be a function for the height (in cm) of a bush which is given w liters of water and f cups of fertilizer in its first month. If we reduce the water and the fertilizer at the same ratio (i.e. 1 liter per 1 cup), then how quickly will the height of the bush change?
Let h(w, f) = √(1 + wf) be a function for the height (in cm) of a bush which is given w liters of water and f cups of fertilizer in its first month. If we reduce the water and the fertilizer at the same ratio (i.e. 1 liter per 1 cup), then how quickly will the height of the bush change?
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.6: Variation
Problem 2E
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Question
. [Gradients and Directional Derivatives][S] Let h(w, f) = √(1 + wf) be a function for the height (in cm)
of a bush which is given w liters of water and f cups of fertilizer in its first month.
If we reduce the water and the fertilizer at the same ratio (i.e. 1 liter per 1 cup), then how quickly will
the height of the bush change?
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