Let A be the area of a square whose sides have lengthx, and assume that x varies with
Chapter 3, Problem 5(choose chapter or problem)
Let \(A\) be the area of a square whose sides have length \(x\), and assume that \(x\) varies with the time \(t\).
(a) Draw a picture of the square with the labels \(A\) and \(x\) placed appropriately.
(b) Write an equation that relates \(A\) and \(x\).
(c) Use the equation in part (b) to find an equation that relates dA/dt and dx/dt.
(d) At a certain instant the sides are \(3 ft long\) and increasing at a rate of \(2 ft/min\). How fast is the area increasing at that instant?
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