MHB Related rates calculus problem about water tank

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The discussion revolves around a related rates calculus problem involving a rectangular water tank with a fixed base length of 200 cm and 100 holes for water to flow out. Participants question the completeness of the problem, seeking additional information to solve it effectively. Once the problem is confirmed complete, the original poster expresses gratitude for previous assistance. The focus is on calculating the flow rate from each hole, considering a measurement error of ±1 cm in the water height. The conversation highlights the importance of clarity in problem statements for effective problem-solving.
jaychay
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Consider the rectangular water tank, at the base the length is the same for 200 cm. There are 100 holes for water to come out which each hole have the same flow rate. Find the amount of water that come out in each hole by using differential when we know that there is an error in the measurement of the height of the water in the tank is not exceed ± 1 cm. ?

tank.png
 
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Your problem seems to be incomplete. Is there more information?
 
Klaas van Aarsen said:
Your problem seems to be incomplete. Is there more information?
The problem is completed and I can now find the answer to this problem
By the way, thank you very much for helping me with the problems many times Mr.Klaas van Aarsen :)
 

Thread 'Proving that convexity implies second order derivative being positive'

There are probably loads of proofs of this online, but I do not want to cheat. Here is my attempt: Convexity says that $$f(\lambda a + (1-\lambda)b) \leq \lambda f(a) + (1-\lambda) f(b)$$ $$f(b + \lambda(a-b)) \leq f(b) + \lambda (f(a) - f(b))$$ We know from the intermediate value theorem that there exists a ##c \in (b,a)## such that $$\frac{f(a) - f(b)}{a-b} = f'(c).$$ Hence $$f(b + \lambda(a-b)) \leq f(b) + \lambda (a - b) f'(c))$$ $$\frac{f(b + \lambda(a-b)) - f(b)}{\lambda(a-b)}...
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