In order to add these fractions we have to make a common denominator.
1/5 can turn into 2/10 Its the same thing. And its easier to solve with.
now lets multiply.
×
Now we add across
2 + 1 = 3
------------
10 + 10 = 10 ( When adding fractions like these the denominator stays the same)
So your answer is...
Good Luck! :)
The equation of the tangent line at x=1 can be written in point-slope form as
... L(x) = f'(1)(x -1) +f(1)
The derivative is ...
... f'(x) = 4x^3 +4x
so the slope of the tangent line is f'(1) = 4+4 = 8.
The value of the function at x=1 is
... f(1) = 1^4 +2·1^2 = 3
So, your linearization is ...
... L(x) = 8(x -1) +3
or
... L(x) = 8x -5
Answer:
a) The present value is 688.64 $
b) The accumulated amount is 1532.60 $
Step-by-step explanation:
<u>a)</u><u> The preset value equation is given by this formula:</u>
where:
So we have:
Now we just need to solve this integral.
The present value is 688.64 $
<u>b)</u><u> The accumulated amount of money flow formula is:</u>
We have the same equation but whit a term that depends of τ, in our case it is 10.
So we have:
The accumulated amount is 1532.60 $
Have a nice day!