SOLUTION: As you know my brother Jim is an avid fisherman. He varies the depth at which he fishes according to the following function: D(t)=-t^2+10t where t is measured in hours. Estimate
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-> SOLUTION: As you know my brother Jim is an avid fisherman. He varies the depth at which he fishes according to the following function: D(t)=-t^2+10t where t is measured in hours. Estimate
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Question 360160: As you know my brother Jim is an avid fisherman. He varies the depth at which he fishes according to the following function: D(t)=-t^2+10t where t is measured in hours. Estimate the time when he fishes at the greatest depth and tell me that depth. Answer by ewatrrr(24785) (Show Source):
Hi,
D(t)=-t^2+10t = -1t(t+10)
t(-t+10) = 0
t = 0
(-t+10)=0
t = 10
vextex is when t = 5 (midpoint of (0,0) and (10,0)
D(5)=-25 + 50 = 25
at 5hrs, the fisherman fishes at the greatest depth
