Answer:
The width of the photo is .
Step-by-step explanation:
From the given figure it is notices that the total width of the frame is
The photo is covered by a frame border and the width of the border is
To find the width of the photo we have to subtract the width of upper frame border and lower frame border from the total width of frame.
Width of the photo is
Therefore the width of the photo is .
We have been given two functions and
. We are asked to find
.
We will use composite function property to solve our given problem.
Now we will combine like terms as:
Therefore, the value of would be
.
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.