Objective: 33. Sketch the standard quadric surfaces and the graphs of certain cylinders.
Пікірлер: 74
@alexquahzhiwei4 жыл бұрын
Thank you so much Prof Alex!! Was having a really hard time understanding my university professor as he cramped the whole chapter into a 40 minute video. It was really helpful that you have broken the chapter down into smaller topics and giving examples for us to understand clearly! Thank you so much again for your help with this topic! - Student from Singapore.
@thomasfowler12 жыл бұрын
You got me through 2nd year Calculus last year. Thank you for your coverage of James Stewart's Calculus book! Literally a life saver
@beetlejuice2725 Жыл бұрын
Very helpful. My calc 4 professor barely covered conic sections and my precal professors NEVER introduced it to us whatsoever. Needless to say, this is gonna help me tremendously on my midterm tomorrow!
@lorax121323 Жыл бұрын
What's Calculus 4? I thought Calculus 3 (Multivariable Calculus) was almost always the last course in the calculus sequence.
@suckmyhugewiener63311 ай бұрын
Calc 4 hell naw
@teodorilie20498 ай бұрын
IT engineer student here, it really helped me. Thanks :)
@BabaSphere Жыл бұрын
I LOVE YOU I LOVE YOU I LOVE YOU I LOVE YOU IVE NEVER CRIED TEARS OF JOY IN MY LIFE YOU SAVED ME FROM DROPPING OUT LEGITIMATELY CUZ I COULDNT AFFORD TO RETAKE THE COURSE AND GOT NO AID BUT YOU SAVED ME AND FOR THAT IM FOREVER GRATEFUL I LOVE YOU SO MUCH
@zasss44233 жыл бұрын
oh my god! THANK YOU SO MUCH Prof Niedden!!! You literally saved my life! My Calc3 teacher used just 20 minutes with this topic and he taught me nothing! After just listening for 10 minutes, I understood everything! I will keep listening to your course for the rest of the semester!
@nabankar3 жыл бұрын
lol my teacher took an hour but still it was awful..which college have you taken admission in btw?
@andream86714 жыл бұрын
Thank you so much!!! I’ve been struggling with these concepts in my Cal 3 class, but It’s easier to understand now. Thank you!
@wolfyngrey13132 жыл бұрын
Thank you! This has been the worst in cal3 thus far
@oliviareul23874 жыл бұрын
Thank you so much for these videos. You explain these concepts better than my professor.
@abdullahe36743 жыл бұрын
Bless You Dear Professor ,Math Wizard :) underated free content xoxo
@d0l__meng__10 ай бұрын
Thank you professor You’re drawing is perfect fr
@duyquangbui52974 жыл бұрын
Your lectures are very easy to understand, thank you so much for your lecture. It's very helpful
@ansnaeem.75644 жыл бұрын
Your way of speaking is good.
@monbebeminmoongie94094 жыл бұрын
The most helpful video about this topic. Thank you
@nameenjunaidi4452 жыл бұрын
I am watching this before my classes so I can understand better my classes
@lucasfc45872 жыл бұрын
This has been great as an explanation and summary
@shinkansen19072 жыл бұрын
Thank you so much! love from Bogazici University!
@scumble82713 жыл бұрын
this helped a lot to help me prep for my exam thank you !
@abdulwahed18034 жыл бұрын
you made it easy to understand , thank you
@user-ww2qs3cj9n Жыл бұрын
Thank you so much for explaining it a million times better than my home university professor. A thanks from Seoul, South Korea. Btw, if I may ask, what is the pen you are using it sounds so nice!
@denisesoto11754 жыл бұрын
How are you finding the intercepts? Specifically for example #5?
@alexandraniedden53374 жыл бұрын
Substitute 0 for two of the variables. For example, for the x-intercept(s) in #5, set y=0 and z=0. You then have -x^2/a^2 = 1. This equation only has imaginary solutions so there are no x-intercepts.
@isaachiew49063 жыл бұрын
@@alexandraniedden5337 Hi there Prof, does that mean there is no z-intercept for general shape 4 and that it only has an imaginary z-intercept?
@alexandraniedden53373 жыл бұрын
@@isaachiew4906 There is no z-intercept for shape 4 in this form. That being said, the equation could be altered like the following: x^2/a^2 + z^2/b^2 - y^2/c^2 = 1. In this case, the hyperboloid would be drawn around the y-axis, so there would be no y-intercepts.
@hermanfourie662 жыл бұрын
Thank you very much for your help! This helped me a lot!
@johnmarkbarinos68733 жыл бұрын
PLS CREATE MORE CAL 3 VIDEOS. THANK YOU!
@James154123 жыл бұрын
you saved my life! thank you!
@adilrhyder2 жыл бұрын
Thank you so much! Got a quiz in half an hour lol
@user-qe4vw5gm7i Жыл бұрын
Thank you Professor
@haseebkhan4027 Жыл бұрын
Thanks you ma'am
@juksjunior11362 жыл бұрын
wow yoh perfect explanation first 3 minutes i was already Saved
@fortunatenkuthaloАй бұрын
thank you
@mydawit2 жыл бұрын
In 3D space having only 2 variables in the equation for a Cylinder is necessary but not sufficient. For instance z=x^2 (as shown in the video clip) is a parabolic cylinder sitting on the y-axis. z= x^2 + y is also the same cylinder tilted and sitting on the z=y line. But 3 variables are present. Just a question for thought. Can we categorize a Plane to be a Cylinder? It sure does satisfy the definition of a Cylinder
@ismailsurnameless1782 ай бұрын
the noise of the pen is disturbing
@kunalrout453 жыл бұрын
Thank you professor this was sooooo helpful...
@ifeanyiogbennaya77732 жыл бұрын
for no.5 your intercepts confuses me. do we make (y-1)=0 for intercepts or do we make only y =0?
@albert_ma4021 Жыл бұрын
thanks
@samiullahsaddique8919 Жыл бұрын
Why in question 5 the third intercept is not possible?
@saikartheek97073 жыл бұрын
@alexandra budden Another doubt. In the 3rd general shape i.e elliptical paraboloid, why is there no paraboloid on the -ve direction of the z-axis. Sry for repeatedly asking u.😅
@alexandraniedden53373 жыл бұрын
No need to apologize. The elliptic paraboloid does not extend to negative z because of the restrictions in the equation. Z is equal to the sum of x^2 and y^2, so z will never be negative (z is the sum of two positive quantities). This is why the figure does not extend where z < 0.
@saikartheek97073 жыл бұрын
@@alexandraniedden5337 thanks a lot.
@computerwebtraining.alirez4370 Жыл бұрын
Very good.😊how can lean draw p=cos€ in spherical coordination?
@simba69644 жыл бұрын
What textbook was that?
@carlosmejia22842 жыл бұрын
Debe ponerle las letras de las variables x y z a los ejes, porque no lo hace, debe ser estricto en ese sentido
@9LimaAlpha72 жыл бұрын
is there a followup video to this one, where you solve more exercises?
@mdtarekulislam24407 ай бұрын
Take love mam...❤❤❤
@BWAYOERIA5 ай бұрын
👍👍
@sarthakgaba15834 жыл бұрын
Thanks😀
@Mary-mj7le3 жыл бұрын
for hyperbolic paraboloids i have to find the saddle point :(
@mashrafihaider75953 жыл бұрын
For Ex #4 when you are finding the traces you said when y=1 then x=1 and z=2. Can you please explain how? @Alexandra
@alexandraniedden53373 жыл бұрын
I chose a few values for x, y, and z to investigate the patterns for the traces. For example, as y increases, each trace will be an ellipse. I hope this helps!
@simba69644 жыл бұрын
@22:29 what book is that please?
@alexandraniedden53374 жыл бұрын
Stewart's 8th edition Multivariable Calculus
@simba69644 жыл бұрын
@@alexandraniedden5337 thanks
@ansnaeem.75644 жыл бұрын
Plz make a video about 3d transformation system.
@saikartheek97073 жыл бұрын
what is the z - intercept of the 4th general figure. @alexandra budden
@alexandraniedden53373 жыл бұрын
In the example I gave, there are no z-intercepts. If you substitute x = 0 and y = 0 and solve for z, you will get z^2 = -c^2, which has no real solutions.
@saikartheek97073 жыл бұрын
@@alexandraniedden5337 thanks a lot.
@taqqiraja27223 жыл бұрын
21:55 lmao tanktop
@aviationenthusiast43534 жыл бұрын
In example 5, how did you find the center of the ellipsoid? how do you find the center in general?
@alexandraniedden53374 жыл бұрын
I found the center by completing the square. In this case, I needed to complete the square for both y and z.
@ilkeuyankerstudent53474 жыл бұрын
At 28:21 why did not look xy trace? Can someone explain?
@alexandraniedden53374 жыл бұрын
I did not look at the xy-traces because I could already see the shape of the graph with the information I had. That being said, you can certainly investigate the xy-traces. In this case, they are similar to the yz-traces - they will be lines.
@ilkeuyankerstudent53474 жыл бұрын
@@alexandraniedden5337 Thank you so much. I can not think 3D.. So it will be the same shape since it is 3D right? Thanks again :)
@alexandraniedden53374 жыл бұрын
@@ilkeuyankerstudent5347 I'm not quite sure what you mean by "same shape." The xy- and yz- traces are similar in that both contain sets of lines. There will be sets of "x"'s in the yz-plane and also sets of "x"'s in the xy-plane, giving that cone shape. It can certainly be hard to visualize!
@ilkeuyankerstudent53474 жыл бұрын
@@alexandraniedden5337 Okay I think I understood. Thanks a lot for your answers :)