Gabriels Trumpet Calculus

If the posting of this site is beneficial to our suport by spreading article posts of this site to social media marketing accounts which you have such as for example Facebook, Instagram and others or can also bookmark this blog page.

Areas Of Surfaces Of Revolution The Trumpet Fish

Https Www Palmbeachstate Edu Honors Documents Jeansergejoseph Pdf The Trumpet Fish

Ancient Artifacts Gabriel S Horn The Trumpet Fish

Gabriel S Horn From Wolfram Mathworld The Trumpet Fish

Torricelli S Trumpet Or Gabriel S Horn Museum Of Imaginary Musical Instruments The Trumpet Fish

Gabriel S Horn The Trumpet Fish

$\begin{align*} \lim_{t \rightarrow \infty} \left( \sup_{x \geq t} f^2(x) \right ) &= \limsup_{t \rightarrow \infty} \left( f^2(1) + \int_{1}^{t} (f^2(x))'dx \right)\ (\because \text{F.T.C}) \\ &\leq f^2(1) + \int_{1}^{\infty}|(f^2(x))'|dx \ (\because (f^2)' \leq |(f^2)'|) \\ &= f^2(1) + \int_1^{\infty} 2|f(x)||f'(x)| dx\ (\because (f^2)' = 2ff'))\\ &\leq f^2(1) + \int_1^{\infty} 2|f(x)| \sqrt{1 + (f'(x))^2} dx\ (\because |f'| = \sqrt{(f')^2} \leq \sqrt{1 + (f')^2}) \\ &= f^2(1) + \frac{A}{\pi} \end{align*}$

Math Paradox 17 Covering Infinite Area Using Finite Paint Gabriel S Horn Steemit The Trumpet Fish

Math 121 Calculus Ii The Trumpet Fish

Gabriel S Horn Artwork Stock Image C017 0815 Science Photo Library The Trumpet Fish

Gabriel S Horn Wikipedia The Trumpet Fish

Gabriels Trumpet Calculus

More From The Trumpet Fish