How to solve an ecuation without symbolic variables?
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David
el 7 de Dic. de 2022
Comentada: John D'Errico
el 7 de Dic. de 2022
Hi! This is related for a college assignment. My code is about integral aproximation, and after i got that, i'm asked to find a 'c' in [a,b] that satisfies the mean value theorem for integrals, so, in this case i have the option of solving the equation, or, going for the inverse of the input function. The problem here is that we have a handicap: We can't use symbolic variables, so i looked through the documentation, and i didn't anything useful. So, there is a way to do that without syms? Thanks beforehand <3
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Dyuman Joshi
el 7 de Dic. de 2022
What exactly is the problem? Please mention the actual problem and your code as well.
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John D'Errico
el 7 de Dic. de 2022
Editada: John D'Errico
el 7 de Dic. de 2022
I won't do homework. But I'll give you a hint or two.
First, what does the mean value theorem tell us for integrals. It says that for a CONTINUOUS function f, the AVERAGE value of a function over an interval is the same as the value of the function at some point in that interval.
Can you perform a numerical integration of the function, using trapz? (OF COURSE YOU CAN.) Or you can do it more accurately using integral. Therefore, you can compute the average value of that function. No syms are needed in either case.
Next, can you find the value of x that yeild the necessary point? Of COURSE YOU CAN! (HINT: use fzero.) If you don't want that, then you can use any other solver you wish, even bisection would work.
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John D'Errico
el 7 de Dic. de 2022
Teachers can be such a pain in the neck. :)
Honestly, I love the ability to use syms. But sometimes I think people can fall too much in love with them, and forget how to do numerical computations, or never learn those skills. So it can be a good thing to force students to use mathematics from both sides of the fence.
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