Answer:
Here we just want to find the Taylor series for f(x) = ln(x), centered at the value of a (which we do not know).
Remember that the general Taylor expansion is:

for our function we have:
f'(x) = 1/x
f''(x) = -1/x^2
f'''(x) = (1/2)*(1/x^3)
this is enough, now just let's write the series:

This is the Taylor series to 3rd degree, you just need to change the value of a for the required value.
Answer:
0.3453 grams
Step-by-step explanation:
to find the amount of days in 6 weeks, you multiply 6 and 7 which will get you 42. Then 42/4 is 10.5. This means it will go through 10 full half-lifes. you divide 500 by 2 10 times and 0.3453 g is the closest answer.
You have to split it into triangles
but you have to know how to use pythagorus in 3D shapes
Answer:

Step-by-step explanation:
In order to find g we have to use the formula for finding the slope of the line passing through two points that's

where
(x1 , y1) and (x2 , y2) are the points
From the question the points are (g, -1) and (2, 5) and m = 3/2
We substitute it into the equation and find g
That's

We have the final answer as
<h3>g = - 2</h3>
Hope this helps you