Answer:
Step-by-step explanation:
In order to find this Maclaurin series, we can start by using a known Maclaurin series and modify it according to our function. A pretty regular Maclaurin series is the cos series, where:
So all we need to do is include the additional modifications to the series, for example, the angle of our current function is: 
so for
the modified series will look like this:
So we can use some algebra to simplify the series:
which can be rewritten like this:
So finally, we can multiply a 14x to the series so we get:
We can input the x into the series by using power rules so we get:
And that will be our answer.
Substitute into second equation:
x+3=2x-3
put variables on one side:
3x=6
x=2
Substitute to find y:
y=2+3
y=5
So (x, y) = (2, 5)
Answer:
tip = 3.07
final bill = 18.40
Step-by-step explanation:
To find the tip, we take the percent times the bill
tip = 20% * 15.33
.20 *15.33
3.066
Rounding to the nearest cent
3.07
The final bill is the tip plus the bill
final bill = 15.33+3.07
18.40
Step-by-step explanation:
Given
The function is 
for 
, we will check the values of 
and 
Take 3 and 4
Similarly,
Thus, 
Also, 
is 1 i.e. a constant value. So, the function is increasing linearly for the given interval.
Answer:
The average score of 6 tests is 19.
Step-by-step explanation:
Given that the average score of 5 tests is 18. So first, we have to find the total number of scores for 5 tests :
We have found out that the total scores for 5 tests is 90. So we have to find the average of 6 scores :
