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:
b.) area of triangle= 1/2 base x height
A to B(base)= 8
height= 8
8 × 8= 64
64÷ 2= 32
area of the triangle= 32
I think this is correct aha
No slope
If you were to graph it the line would be straight across with no rise
ANSWER: The equation of a line in slope-intercept form looks like the following: y = mx + b
where m is the slope of the line and b is the y-intercept.
Given any 2 points (x1, y1) and (x2, y2) on a line, the slope (m) = (y2-y1)/(x2-x1).
So, Whenever the slope (m) is undefined it means that when you try to
calculate the slope given any 2 points on the line you'll end up with a
zero in the denominator, which is undefined. That is, with an undefined
slope you end up with a vertical line, which has the equation "x=some
number".
m = (y2-y1)/(x2-x1) = (y2-y1)/0 = undefined. This implies that x2=x1. So x is the same for any value of y on the line, which is why the equation is "x=some number" and the line is vertical.
So the equation of a line, in slope-intercept form, with an undefined
slope (m=undefined) crossing through the point (-3, 5) is: x= -3 ,
which is a vertical line.
Hope this helps you
Answer:
−56<k<−32
Step-by-step explanation:
this is the right one