Taylor series is 
To find the Taylor series for f(x) = ln(x) centering at 9, we need to observe the pattern for the first four derivatives of f(x). From there, we can create a general equation for f(n). Starting with f(x), we have
f(x) = ln(x)
.
.
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Since we need to have it centered at 9, we must take the value of f(9), and so on.
f(9) = ln(9)
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.
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Following the pattern, we can see that for 
,
This applies for n ≥ 1, Expressing f(x) in summation, we have
Combining ln2 with the rest of series, we have
Taylor series is
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Answer:
x = -1 ± √6 / 5
Step-by-step explanation:
Solve 
+ 2x = 1
move 1 to the left side of the equation by subtracting it from both sides.
+ 2x - 1 = 0
Use the quadratic formula to find the solutions.
-b± 
/ 2a
Substitute the values a = 5 , b = 2, and c = -1 into the quadratic formula and solve for x
-2±
/ 2 ⋅ 5
Simplify.
x = -2 ± 2 
/ 10
x = -1 ± / 5
Exact Form:
x = -1 ± / 5
It can tell you the general pattern or that it is far from the other points in scatter plot.
let's recall the vertical line test, if a vertical line hits the graph or points twice, then is NOT a function. Check the picture below.
Answer: Mean: 17.14 Range: 20.
Step-by-step explanation: 12+13+13+15+16+19+32 25+13+15+16+19+32 38+15+16+19+32 53+16+19+32 69+19+32 88+32 120/7 17.14
32-12 20
