Calculus 2: Hyperbolic Functions (3 of 57) What is a Hyperbolic Function? Part 3

In this video I will cosh(0)=?, sinh(0)=?, cosh(infinity)=?, and sinh(infinity)=?

Next video in the series can be seen at:

[gegebenein.gaussprozess]

Dear Sir: One cannot calculate with infinity in the way you did it in the video. Infinity is not a number! I would do it with limits, i.e., " t goes to infinity".

[jorgemercent]

Thank you Prof van Biezen for this video. But i am confused as to why you write t=A, but t != A at the side. Isn't theta and t the same thing and both refer to angles? If not, then what does t mean, what does it refer to?

[fisicayquimicahoy]

thanks, Sir. This serie is just what I was looking for

[moayadbassam]

I have never seen a math teacher use infinity like that.
Glad to see you are doing it.
Imp it's a better way of explaining things.

[shahdahmedsamer]

3:44 how the area can be infinite or increase and the angle of the line which was drawn is constant

[jeanbenoit]

your the best...your site is my first reference now...thank you for the help your giving

[bejano]

You assumed that if angle theta -> (pi / 4), then area A -> infinity. This is not obvious. Maybe area A tends to a finite limit? How do you know that ?

[sammelnik]

Lovely explanations. I’m visiting this series after completing my first differential equations class. These videos are very useful references and refreshers after having worked on deriving the equations! Thank you!

[Danielagostinho]

First time that i see some doing calculations with infinity, math is amazing

[chiragjain]

Michael sir- Are we living in a computer simulations

[alextv]

[I asked this question on a very old video of yours that had to do with the algebra in my problem. Hopefully you see this. Thank you.]

"Hello professor. I am happy to see that you still respond to these comments. I really hope you see this and respond. Thanks a million in advance.

Is this right?

2(x/105.99) + (1.372 - x/84.01) = 0.02138

After all the algebra is done to find x, is the correct answer:

X = 0.7247

This is for my Quantitative Analysis Chemistry class. I major in Forensic Science. I'm in my last class of my sophomore year."

[achariya]

Professor, I want some astrophysics and cosmology lectures. If you see this please consider making some videos about them thank you!!