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ssignment 4 Remaining Time: 76:20:39 An animated short film shows an equilateral triangle whose dimensions vary with time. Assume the triangle's sides have an instantaneous rate of growth of 4 cm/s at the moment the triangle's area is 4:/3 cm . The goal is to determine at what rate the area of the triangle is growing at that same moment. To solve this problem, let's denote by r the common length of the sides of the triangle in cm, A its area in cm , and & the time in seconds (s). (a) Express A as a function of ac . A = cm2 (b) What is I when A = 41/3 cm- ? Give the exact value. 1 = cm. dA (c) What is when A = 4:/3 cm- ? Give the exact value. dA de (d) We know that de = 4 when A = 4v3 dA Using the chain rule, compute- f when A - 413 cm- . Give the exact value. dA cm2 / s Next