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OpenStudy (anonymous):
at time t, in hours, a lake is covered with ice of thickness y cm, where y = .5 t^1.5 . if ice forms for 0 <= t <= 6, at what time in this interval is the ice thickest? at what time is the ice forming fastest?
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OpenStudy (campbell_st):
graph the curve points (0,0) (1, 1) (2, 1,41) etc (6, 7.348) |dw:1331322132242:dw| the ice is thickest at the endpoint t = 6 to find the rate of change in the ice dy/dt = 0.75x^0.5 the fastest rate of change in the ice is at t = 6
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