2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
2 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
5 жыл бұрын
Пікірлер
@nicholasschulz3482 Жыл бұрын
super helpful refresher on my calc 2 thanks!
@hoda202 2 жыл бұрын
thank you so much for this
@DrVsMaths 2 жыл бұрын
You're very welcome!
@catherineduong6970 4 жыл бұрын
Super helpful! Thank you!!
@DrVsMaths 2 жыл бұрын
You're so welcome!
@shalinimishra6632 4 жыл бұрын
Very nicely explained,sir.
@CluckN 5 жыл бұрын
Thanks and nice visuals.
@dominikblaser8460 5 жыл бұрын
didn't you forget the 4 in the last row after subtracting I ?
@DrVsMaths 5 жыл бұрын
Only the values along the diagonal are changed when we compute A-2I.
@stevenotieno1005 7 жыл бұрын
Excellent presentation, I like it
@muktesh_gautam 7 жыл бұрын
thanks, It has been a good experience!
@chessandmathguy 7 жыл бұрын
this is absolutely perfect. thank you for posting!
@mem260 7 жыл бұрын
Why is the bounds for y -z to z, I did not fully follow that. I can accept that -z to z are the bounds for y, but why is it not the same for x also?
@DrVsMaths 7 жыл бұрын
Let me answer in reverse: If the region in the xy-plane was points satisfying -z<x<z and -z<y<z, you would see a square, not a circle. Your job is to identify a pair of inequalities that describe each of the points in the disc, and only those points. All points in the disc satisfy -z<y<z, but a different constraint must then be added to stay within the disc.
@PhillipForrence 7 жыл бұрын
sick video. Way better than Khan accad.
@zedlepplin9450 7 жыл бұрын
what if you get infinitely many solution? is it still in the span?
@DrVsMaths 7 жыл бұрын
Yes, the matrix equation Ax=b can be consistent (with a unique solution) or consistent (with infinitely many solutions). In either case, b is in the span of the columns of A. If there are many solutions, then there are many linear combinations of the columns of A that result in b.
@zedlepplin9450 7 жыл бұрын
Thanks for the videos man, pass my linear algebra with an A.
@elviszhang2853 7 жыл бұрын
Thank you!!
@Luke.J 8 жыл бұрын
Why is the frictional force proportional to the velocity. It seems like that model would only apply if you are dealing with the air resistance.
@ghanoutigrine9619 8 жыл бұрын
thank you so much
@waylonwilde4147 8 жыл бұрын
incredibly helpful!!!
@cosmickitty9533 8 жыл бұрын
how is it between zero and pi/3? (besides the picture?)
@DrVsMaths 8 жыл бұрын
They intersect when sin(x) = sin(2x). I suppose you could just check that sine of pi/3 is equal to sine of 2pi/3 and think about why this angle is so special: doubling it doesn't change its sine. Or use the double angle identity sin(2x) = 2 sin(x) cos(x) in helping you to solve the equation algebraic. I'll leave that to you to try. Thanks for visiting.
@cosmickitty9533 8 жыл бұрын
Thank you!!!
@akashgautam198 8 жыл бұрын
nicely explained
@DrVsMaths 8 жыл бұрын
Thanks!
@Christopher.Marshall 8 жыл бұрын
I got everything the same way you did up until 2:30. I got a final answer of 1.
@DrVsMaths 8 жыл бұрын
Evaluating the antiderivative at x=Pi/3 should give 3/4, while evaluating at x=0 should give 1/2, for a difference of 1/4. Make sure you double the angle in the first term and take care with the signs.
@Chrome47 8 жыл бұрын
Very helpful video, thanks
@DoodleAks 8 жыл бұрын
How would the process of finding the volume change in the xz plane if z=x and z=(1-(x^2)) and y=x^2
@DrVsMaths 8 жыл бұрын
This is a very different region. You'll need to carefully consider the projection of that solid into the xz-plane. Identify algebraically where the various surfaces intersect and try drawing carefully selected cross-sections of the surfaces.
@md.junaedal-hossain7368 8 жыл бұрын
link of the previous vidio plz.
@balkrishnarajthapa3919 8 жыл бұрын
nice
@alil8419 9 жыл бұрын
Merci à vous
@ptyptypty3 9 жыл бұрын
I have to ask... at Time, 1:10 ..., you did a Pythagorean Substitution for Sin^2(2x) and used 1- Cos^2(2x) .... was that supposed to be 1-Cos^2(4x) ??? The reason I'm asking is because I'm just learning this stuff for the real First time.... and I assume I missed something..... any response would be appreciated.. and .. as usual... another Great Organized Presentation!! Thank You Dr V ...
@ptyptypty3 9 жыл бұрын
Whoa.... lol, I heard a SIREN in the background.. somebody must have called 911 and said, "HELP!! I don't understand Calculus!!" ... lol..... just kidding.. but this video is Excellent!!.. once again.. I totally appreciate your manner and presentation .... thanks Dr V...
@ptyptypty3 9 жыл бұрын
I'm kinda confused here... my first thought is that the volume of a cylinder is (PI)*(R^2)*h .. and I see your answer is (PI * a^2 * h^2)/2 ... so.. I had to ask myself.. did you make a mistake? or did I make a mistake in what the Integration was all about... As usual, I assume it's my mistake.... lol... .. therefore.. I guess the Volume of the Cylinder acts as the Complete set of points for Something above and beyond the Cylinder itself... like a 4th dimensional Construct..... any response would be appreciated....... by the way.. ALL YOUR VIDEOS are Fantastic!!... Thank you so much!!.. I like the way you use different Colors too...
@DrVsMaths 9 жыл бұрын
+Philip Y If we were to integrate f(x,y,z)=1 we would indeed get the volume of the cylinder. However, our example is f(x,y,z)=z. As you suggest, this could be viewed as "volume" under the "surface" w=z in four dimensions (x,y,z,w). Or perhaps easier to visualize: the density of the cylinder might vary linearly with the z coordinate. Then this calculation would be the mass of the cylinder. (Thanks for the question and the kind comments.)
@ptyptypty3 9 жыл бұрын
Wow, thank you Dr V !!!.. I've been watching several of your videos and the verdict is in!!.. You are a Fantastic Lecturer with fantastic Video/graphics..... You also present your material in a smooth organized manner that truly makes the learning experience easy and Enjoyable... Thank You!!!.. i see I have quite a few Videos of Your's to watch... so I'll get busy.... by the way... I'm not a student.. I'm 61 years old and I'm enjoying some free time . This allows me to Refresh my Calculus Skills. Your videos are the One's I've been looking for.. Thanks again....
@DrVsMaths 9 жыл бұрын
+Philip Y Thanks for your comment!
@kalvin90210 9 жыл бұрын
Dr. V, you broke this concept down in a better way my multiple DE textbooks, and my DE teacher ever could have. Thank you for a new level of understanding.
@khalidnhodino441 9 жыл бұрын
FINALLY, i understand the explanation of the span ! YOU ARE GREAT . THANKS !
@VioCypr 9 жыл бұрын
Clear. Thank you!
@DrVsMaths 9 жыл бұрын
+zhi hong tan You're welcome!
@thomasreid6647 9 жыл бұрын
Great video Dr. V! Really appreciate this extra resource your are giving us!
@lenaleuang328 9 жыл бұрын
Thanks, my linear algebra notes didn't go into detail when explaining how to do this. So your video was a great help.
@SSSILENTPRODUCTIONS 10 жыл бұрын
dynamite