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 2 cm/s at the moment the triangle's area is 4%? cm . The goal is to determine at what rate the area of the triangle is growing at that same moment. 2 To solve this problem, let's denote by a: the common length of the sides of the triangle in cm, A its area in cm , and t the time in seconds (5). (a) Express A as a function of m . A: .B cm2 (b) What is :1: when A = 4V3 c1112 ? Give the exact value. m = m cm. dA (c) What is d when A = 4\\/ Cm2 ? Give the exact value. m dA_ 3* law\" (d) We know that % = 4 when A = 4J3. dA Using the chain rule, compute when A = 4\\/ cm2 . Give the exact value. dt dA_ E7 lacmZ/s