Not sure if I solved this right. anyone know?
2 answers:
You might be interested in
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.
The comlete question with the diagram is in the picture attached.
Answer:
Point is the vertex of the angle marked in the figure.
Explanation:
When two lines intersect each other they will form an <em>angle</em> and the intersection point will be the <em>vertex of the angle</em>.
In the figure attached, the line that joins the points A and B and the line that joins the points C and D intersect at the point E, forming the corresponding angle (shadowed in the figure).
Such intersection point, which marks the angle, is the vertex of the angle.
