Any questions? Leave them here! Also, you can find the link for my full-length tutorial for optimization problems below in this comment! I have many other calculus tutorials you can check out on my channel as well! Link: ua-cam.com/video/hT6jY757WCg/v-deo.html
@@Toto-yk8tn Determining how to set up the equations using x will ultimately depend on each specific problem. In the case for this example, since we are told that the cardboard is to be made into a box by "cutting out" squares of equal size from the corners, that is a clear indication that whatever the measure of each side of the squares is (x) that it should be subtracted out from the total length of the sides of the box. In other words, the corners that measure x are being removed (subtracted) from the cardboard, not added. Does this help?
@@JKMath Thank you for your thorough reply, JK! I, too, have an iPad with an Apple Pencil. When I made a trial recording, my palm touched the edge of the iPad screen, which caused Goodnotes to shift up and down. I will try the invisible line technique though - that should be just the thing! Another thing I notice is that when my palm moves, Goodnotes displays a small message in the bottom left corner of my screen saying something along the lines of “1/1” or “2/2”, thinking I want to scroll down a page. Do you have any settings you set on Goodnotes to sort of “desensitize” the application? I think that would be the last part to the mystery :) Thanks for the audio tips! I actually found that recording in a good room with limited echo will generally do the trick, though I supplement my audio with a small, but affordable microphone, and an AI noise remover, podcast.adobe.com/enhance, and it has seriously made all the difference! Yes, you guessed right! I plan to post a bunch of chemistry videos, starting tomorrow! I was inspired by “The Organic Chemistry Tutor” in college (after all, he saved my grade in numerous chemistry and math courses), but I don’t want to be seen as his “competitor” if that makes sense, and want to create content that covers similar bases as his, but also is my own and unique. Knowing he also makes math videos, do you ever fear competition? What are your thoughts there? Again - sorry again if I am BOMBARDING you with questions - (and if you don’t have it in you to answer all of them that’s ok) - but I can’t tell you how much I am learning and forming a community with my fellow academic creators like you, so to that I say thank you :) Thanks again, JK, for everything!
If you are referring to the 4 in the equation at the very end when solving for x, that 4 is just a common factor that we pulled out from the other terms. You could divide both sides of the equation by 4 and then it would disappear since 0/4=0. Once we pulled it out to make the equation simpler, that 4 really doesn’t serve a purpose. In other words, that 4 doesn’t give you another solution for x. So nothing really “happened” to it, we just don’t need to use it for anything. If you need a refresher on this type of algebra skill, I would recommend looking up how to solve for the zeros of quadratic expressions (and other polynomials as well!). Hope this helps!
Any questions? Leave them here! Also, you can find the link for my full-length tutorial for optimization problems below in this comment! I have many other calculus tutorials you can check out on my channel as well!
Link: ua-cam.com/video/hT6jY757WCg/v-deo.html
How to know when to add the x’s and when to minus them when naming the sides
@@Toto-yk8tn Determining how to set up the equations using x will ultimately depend on each specific problem. In the case for this example, since we are told that the cardboard is to be made into a box by "cutting out" squares of equal size from the corners, that is a clear indication that whatever the measure of each side of the squares is (x) that it should be subtracted out from the total length of the sides of the box. In other words, the corners that measure x are being removed (subtracted) from the cardboard, not added. Does this help?
I really love the explanation!👍 Thank you.
You’re welcome! Glad to help :)
thank you so much!! i was stuck on an equation similar to this on my homework🙏
You're welcome! Glad I could help :)
Hi! What software do you use to record your videos! They’re fresh and bright.
Hi there! I use an app called GoodNotes on a tablet and screen record it. Nothing too fancy!
@@JKMath Thank you for your thorough reply, JK!
I, too, have an iPad with an Apple Pencil. When I made a trial recording, my palm touched the edge of the iPad screen, which caused Goodnotes to shift up and down. I will try the invisible line technique though - that should be just the thing!
Another thing I notice is that when my palm moves, Goodnotes displays a small message in the bottom left corner of my screen saying something along the lines of “1/1” or “2/2”, thinking I want to scroll down a page.
Do you have any settings you set on Goodnotes to sort of “desensitize” the application? I think that would be the last part to the mystery :)
Thanks for the audio tips! I actually found that recording in a good room with limited echo will generally do the trick, though I supplement my audio with a small, but affordable microphone, and an AI noise remover, podcast.adobe.com/enhance, and it has seriously made all the difference!
Yes, you guessed right! I plan to post a bunch of chemistry videos, starting tomorrow! I was inspired by “The Organic Chemistry Tutor” in college (after all, he saved my grade in numerous chemistry and math courses), but I don’t want to be seen as his “competitor” if that makes sense, and want to create content that covers similar bases as his, but also is my own and unique.
Knowing he also makes math videos, do you ever fear competition? What are your thoughts there?
Again - sorry again if I am BOMBARDING you with questions - (and if you don’t have it in you to answer all of them that’s ok) - but I can’t tell you how much I am learning and forming a community with my fellow academic creators like you, so to that I say thank you :)
Thanks again, JK, for everything!
What happened to 4? What is 4 for? Answer pleaseee
If you are referring to the 4 in the equation at the very end when solving for x, that 4 is just a common factor that we pulled out from the other terms. You could divide both sides of the equation by 4 and then it would disappear since 0/4=0. Once we pulled it out to make the equation simpler, that 4 really doesn’t serve a purpose. In other words, that 4 doesn’t give you another solution for x. So nothing really “happened” to it, we just don’t need to use it for anything. If you need a refresher on this type of algebra skill, I would recommend looking up how to solve for the zeros of quadratic expressions (and other polynomials as well!). Hope this helps!