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amazing explanation thank you!

Great nuggets of knowledge, but as a suggestion get to the point faster, you could shave like 7 mins.

How can we proof check?

jake is the GOAT

nice!

Thanks, now I can go about solving my 2am math obsession in the obviously wrong way with only a vague understanding of calculus

Great job

❤

Thanks bro I really needed it for my summer work

This helps a ton, thank you

do you have a beard now?

Thank you so, so much!

dude, thank you. seriously, this helped me out of a rut. keep being badass brother!

Thanks man!!

For real love your videos man helps me so much, that song was real nice

for conic sections (any equation in x and y of the form ax²+a'y²+a"+2b"xy+2b'x+2by=0, i.e. hyperbolas, parabolas and ellipses) the tangent line in P(x;y) is given by x*(partial derivative with respect to x) + y*(partial derivative with respect to y) + 1*(2b'x+2by+2a") = 0, which also works for non-differentiable functions/expressions. if P isn't on the curve, that expression is the line that connects the two intersects of the tangent lines out of P with the curve

Thank you sir for you beautiful explanation ❤

my friend you just got another subscriber ... searched and searched and you broke it down . major thanks

If Ā=(2x²y-x⁴)î+e^xy-ysin)ĵ+(x²cosy)kcap,find d\dx, dĀ/dy, d²Ā/dx², d²Ā/dy², d²Ā/dxfy, d²Ā/dydx. I need an answer,sir. Please.

If Ā=(2x²y-x⁴)î+e^xy-ysin)ĵ+(x²cosy)kcap,find d\dx, dĀ/dy, d²Ā/dx², d²Ā/dy², d²Ā/dxfy, d²Ā/dydx. Please sir. I can't solve that. Help.

Show that there is a root of equation x^2=√x+1 on interval [1,2]?

Thanks Jake 😮

Awesome, thanks👍🤗

Awesome😊

since the highest power is 4, there should technically be 4 roots, maybe the other two are conjugate complex numbers or multiple repeat roots, but in total there should be 4 roots

Thank you ❤

thank you so much, really helped mi

But the method you used is incorrect? You have the correct answer but when you integrate your final equation (-x^3 + 8x - 7)dx with the bounds [7,1], it results in 9800pi (270) which is 2646000pi J, not 1411200pi J. Maybe that's why you skipped integrating your final equation.

$800/month x 100 = $80,000/month $900/month x 90 = $81,000/month Extra grand per month. (81,000 - 80,000)/80000 = 0.0125. One and quarter percent increase in revenue. Better than nothing I suppose.

thank you for the explanation!

thank you!

why is dy/dt 5? is that is x

hi

Thank you Sir😊! for this helpful video I hope your channel will grow 🫡

Thanks! this helped a ton!!

struggling on this exact problem right now THANK YOU!

Got it so far!!

Thank you sir, I was wondering how you write the answer in, what I think is called polynomial form? Like "x+by+c=0, where b and c are integers", thank you :)

Thank you very so much for this video it helped me a lot❤

OMGGGGG THANK U SO MUCH KING ILY

so grateful for your videos )

My calculation was right but i thought that the answer was wrong because it was too large of a number, i guess im only overthinking again

Thank you. This was a big help in finding the centroid when I had to use infinity instead of a real bound.

i love you jake, you tought me cuh

Thank You!

nailed it! thanks so much!

Thank you so much man! I was struggling and this video came in clutch!

thank you jake, really helped me out, you're and excellent teacher!

thanks! super underrated channel

This just saved my skin trying to do a very similar problem on my homework. Thank you for your explanation!