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.
The sale price of the coats is 160% of the purchase price of the coats.
<u>Step-by-step explanation:</u>
The owner buys the coats at a purchase price= $60
He sells the coats for a selling price= $96
Now, the question is:
The selling price $96 is what percentage of the purchase price $60
<u>step 1</u>: 96= x% of 60
<u>step 2</u>: 96= (x/100)*60
<u>step 3</u>: 96= 6x/10
<u>step 4</u>: 960/6 = x
<u>step 5</u>: x = 160%
(x^2 + 3)(5x + 9)
5x^3 + 9x^2 + 15x + 27
