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Idaho State University

00:51

Heather Z.

If $f(x)=x+\sqrt{2-x}$ and $g(u)=u+\sqrt{2-u},$ is it true that $f=g ?$

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Felicia S.

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Anshu R.

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All right. So here we have a perfect set up for the multi variable change role. So we want to know Daisy d T. But first, let's just note that DX DT is equal to to thine divided t is equal to one over teen. Okay, so then deed dizzy d t is going to be the contribution from X of partial X. Uh, not partial X, partial Z partial X and then times, DX, DT plus partial Z Partial why? And then times divide ET Okay, So what is partial? See, partial X? Well, that's just gonna be two X and then the x DT is two team and then Marshalsea partial y is too. Why times one of her teeth. But now we want our final answer to just be a function of t The recall that X is just t squared. And why is just natural log of tea. So this is really so two times two t square times t so four t cubed plus And we have to why is natural log t and then divided by t? So that's thes e d t. Right there

Multivariable Optimization

Multiple Integrals

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