Answer:
The point slope is (0,1)
Step-by-step explanation:
Slope is change in y over the change in x.
Slope = (-7 - 2) / (-1 -2)
Slope = -9/-3
Slope = 3
Answer:

Step-by-step explanation:
We have been given that the rectangle has an area of
square meters and a length of
. We are asked to find the width of rectangle.
Since we know that area of a rectangle is width times length of the rectangle, so we can find width of our given rectangle by dividing given area by length of rectangle.



Upon substituting our given values in above formula we will get,


Using exponent rule for quotient
we will get,


Therefore, width of our given rectangle will be 9x meters.
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.
Yes because without a y-intercept it goes through 0. and can you explain the next part?