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sveticcg [70]
3 years ago
12

Compute the derivative

Mathematics
1 answer:
solniwko [45]3 years ago
5 0
\bf g(s)=cos^{-1}(s^{-1})\\\\
-----------------------------\\\\
\cfrac{dg}{ds}=\cfrac{-1}{\sqrt{1-s^{-2}}}\cdot -s^{-2}\implies \cfrac{dg}{ds}=\cfrac{-1}{\sqrt{1-s^{-2}}}\cdot\cfrac{-1}{s^2}\impliedby 
\begin{array}{llll}
using\ the\\
chain-rule
\end{array}
\\\\\\
\cfrac{dg}{ds}=\cfrac{-1}{\sqrt{1-\frac{1}{s^2}}}\cdot\cfrac{-1}{s^2}\implies \boxed{\cfrac{dg}{ds}=\cfrac{1}{s^2\sqrt{1-\frac{1}{s^2}}}}
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A cylinder has a volume of 288 pi cubic meters and a height of 9 meters. What is the area of the base?
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Answer:

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Step-by-step explanation:

V = pi times r^2 times h which is the formula.

Since the volume is 288, and the height is 9 it is,

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3.19 times 3.19  or 3.19^2 = 10.1761

10.1761 times pi is 31.96 which is about 32 square meters.

I hope this helps!

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