3 years ago

The theorems in this lesson relate to all of the following:

Mathematics

2 answers:

grin007 [14]3 years ago

8 0

Answer:

tangents, arcs, and chords

Step-by-step explanation:

krek1111 [17]3 years ago

6 0

Answer:

tangents, arcs, and chords

Step-by-step explanation:

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stellarik [79]

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Fundamental theorem of calculus <img src="https://tex.z-dn.net/?f=g%28s%29%3D%5Cint%5Climits%5Es_6%20%7B%28t-t%5E4%29%5E6%7D

mr_godi [17]

Answer:

$\displaystyle g'(s) = (s-s^4)^6$

Step-by-step explanation:

The Fundamental Theorem of Calculus states that:
$\displaystyle \frac{d}{dx}\left[ \int_a^x f(t)\, dt \right] = f(x)$

Where a is some constant.

We can let:
$\displaystyle g(t) = (t-t^4)^6$

By substitution:

$\displaystyle g(s) = \int_6^s g(t)\, dt$

Taking the derivative of both sides results in:
$\displaystyle g'(s) = \frac{d}{ds}\left[ \int_6^s g(t)\, dt\right]$

Hence, by the Fundamental Theorem:

$\displaystyle \begin{aligned} g'(s) & = g(s) \\ \\ & = (s-s^4)^6\end{aligned}$

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2 years ago

dave and his sister picked out two pumpkin at the pumpkin patch. the pumpkins cost $0.47 per pound. david's pumpkin weighed 13.2

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