Answer:
The estimate of In(1.4) is the first five non-zero terms.
Step-by-step explanation:
From the given information:
We are to find the estimate of In(1 . 4) within 0.001 by applying the function of the Maclaurin series for f(x) = In (1 + x)
So, by the application of Maclurin Series which can be expressed as:

Let examine f(x) = In(1+x), then find its derivatives;
f(x) = In(1+x)

f'(0) 
f ' ' (x) 
f ' ' (x) 
f ' ' '(x) 
f ' ' '(x) 
f ' ' ' '(x) 
f ' ' ' '(x) 
f ' ' ' ' ' (x) 
f ' ' ' ' ' (x) 
Now, the next process is to substitute the above values back into equation (1)



To estimate the value of In(1.4), let's replace x with 0.4


Therefore, from the above calculations, we will realize that the value of
as well as
which are less than 0.001
Hence, the estimate of In(1.4) to the term is
is said to be enough to justify our claim.
∴
The estimate of In(1.4) is the first five non-zero terms.
Answer: C and D
Explanation:
Is it A? No, because a right triangle does not have all three sides with equal length. Only in a equilateral triangle will have all three equal sides of equal length.
Is it B? No, because a triangle has ZERO parallel lines. Remember parallel lines are like this | | in a triangle the lines are like this /\
Is it C? Yes, because a triangle has two sides of equal length, meaning it has two congruent sides.
Is it D? Yes, a right triangle has two sides that create the 90 degrees making it a right triangle. Perpendicular means that theirs two lines creating the 90 degree and a triangle has two perpendicular sides.
Probability of flipping either a head or a tail = 1/2
probability of flipping 6 tails in a row (1/2)*6
<span>probability of flipping at least 1 head = 1 - (1/2)*6 = 63/64 </span>
Answer: type it out and i could solve it for ya
Step-by-step explanation:all you need to do is write it out.