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Johns Hopkins University

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Boston College

00:56

Greninjack D.

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.

Virendrasingh D.

00:59

Andy S.

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All right. So we want to find the angle between these two factors. And so we know that the curse sign of the angle between them is gonna equal. Yeah, be divided by the length of you times the length of me. Okay. And so what is you, Diaby? It's gonna be three. So one times one plus one times 23 And then what about the length of you? It's gonna be one squared plus one squared square. Roots squared, too. And then be we're gonna have one squared plus two squared. So five square to five serena, half square root of two squared five. Okay? And then we just take the inverse go sign a factor. Can we get the data is approximately equal to 18 for three 49 degrees. Of course, we could convert that the radiance to if we wanted to. And then for B, we do the same thing. So co sign of data is gonna be you. The divided by the length you That's the length of B. Okay. And you dot V is gonna be three minus two minus one. So this is actually going to be zero. So the dog products Syria. We're dividing by two positive numbers, so it's gonna be zero. But what does that mean? That means that the angle well, remember that the angle has to be between zero and 90 degrees or zero and pie radiance. So the angle has to be 90 degrees, or it's piratey radium for radiance.

The Cross Product

Lines and Planes in Space

Vector Functions

Functions of Several Variables

Partial Derivatives

04:42

02:40