Find the standard equation of the sphere.
Let P1 = (-7, -9, 7) and P2 = (0, 1, 1) be endpoints of a diameter
Raw Transcript
Hello everyone, Tom from everystepcalculus.com, everystepphysics.com. A problem regarding a sphere and the standard equation a person submitted, and let me show you how I do it in my programs. Index 8 to get to my menu, my main menu. I’m gonna scroll up to get to the S’s at the bottom, it goes to the bottom of the alphabet so it’s easier and quicker to get there. You can press second and these cursors to go screen by screen on your calculator. Those are all the choices you have, and we’re gonna have sphere equation.
And we’re gonna enter our P, Q points. All professors do things different, which I’m against in calculus. Well, I’m not too thrilled about calculus at all. We have p1 and p2 here, in most cases it’s P and Q points. You have to press alpha before you enter anything in these entry lines here. Alpha, the first one is minus 7. There it is. Alpha minus 9. 7 is the P point. These are point on the outside of a sphere, and they give you two points are you’re supposed to find the radius. And different types of things. Not easy. Even if you know the formula it is not easy, you’re gonna mess up on the minus signs or whatever. That’s why the program steps up so you don’t mess up, and I didn’t mess up. The Q point is Alpha 0, Alpha 1. Alpha 1 for the Z point. I always show you what you’ve entered you can change it if you want. I say it looks pretty good. And we’re gonna choose equation, standard equation, number 5. There’s the formula. And you have to find the xo, yo, zo first Which is this system here. That equals this. Standard equation that is these entered into the equation. Here’s the standard equation. Pretty neat, huh? Everystepcalculus.com. Now I noticed, with the minus in minus, you might have to think in life a little bit, so you might have to say, oh there’s a minus and minus, minus times a minus is a plus. So you might put on your paper, x plus 7, over 2. Or same thing with y. Y equals minus, minus a minus, which is equal to a plus. Which would be y plus 4, and this would be z plus 4. So, keep that in mind. Have a good one. Everystepcalculus.com, go to my site, buy my program if you want to pass calculus. Subscribe if you want to see more movies from me. Thanks and have a good one.
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