MHB Step-by-Step Guide to Overcoming Inexperience: Help for Beginners

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To overcome inexperience, beginners should start by identifying specific areas of confusion and researching them independently. Engaging with foundational concepts, such as Stokes' theorem, is crucial for building understanding. Taking notes on questions and seeking answers can enhance learning and retention. Utilizing resources like textbooks or online forums can provide additional clarity. This proactive approach fosters confidence and competence in tackling complex subjects.
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I have no idea how to do this. Can i get some steps and a solution please
 

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Surely you don't have no idea. Try reading through the question and every time you come across something you aren't sure about, jot it down and investigate it independently. For example, what is Stokes' theorem? What does it say and when do we use it?
 

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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