Answer:


Step-by-step explanation:
<u>Taylor series</u> expansions of f(x) at the point x = a

This expansion is valid only if
exists and is finite for all
, and for values of x for which the infinite series converges.






Substituting the values in the series expansion gives:

Factoring out e⁴:
![e^{4x}=e^4\left[1+4(x-1)+8}(x-1)^2+...\right]](https://tex.z-dn.net/?f=e%5E%7B4x%7D%3De%5E4%5Cleft%5B1%2B4%28x-1%29%2B8%7D%28x-1%29%5E2%2B...%5Cright%5D)
<u>Taylor Series summation notation</u>:

Therefore:

Sqrt(80) = Sqrt(16) x sqrt(5)
= 4 x sqrt(5)
9514 1404 393
Answer:
48 m³
Step-by-step explanation:
The correct formula for the volume of a pyramid is ...
V = 1/3Bh
For the given values, the volume is ...
V = 1/3(36 m²)(4 m) = 48 m³
Answer:
1.3 x 10^6
8.825 x 10^8
1.25 x 10^4
5.167 x 10^7
Step-by-step explanation: