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.
I think b would be 3c+2 over a
This expression is easier than it looks like. I thought that to solve it you have for example to express the 2 via 10 * 5^-1 and stuff like that - but you can multiply and divide this expression by some factor. In our case first we multiply by conjunctive expression root(5-2root2) and the second by root(6+2root5). In first we get root16 and the second calculate.
I will have "x" represent the unknown number, or you could use a "?", doesn't matter.
[8 is less than or equal to (≤) the quotient (÷) of a number and -4, so the number is being divided by -4]
If you need to solve this, you need to isolate/get the variable "x" by itself in the inequality:
Multiply -4 on both sides to get rid of the fraction and get "x" by itself
When you multiply/divide by a negative number, you flip the sign (< >)
-32 ≥ x [-32 is greater than or equal to x, or x is less than or equal to -32]
Answer:
7
Step-by-step explanation:
look at a graph. Hope this helps.
