1. 12.12 Lagrange Remainder
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2. Question 1 SOLUTION: 0.026 0.045 0.024 0.048 0.051 Max error
Lagrange Formula:
0.026
0.045
0.024
0.048
0.051
Max error

3. Question 2 SOLUTION: 0.25 0.13 0.50 0.65 0.83 Max error
Lagrange Formula:
Max error

4. Question 3
SOLUTION:
Lagrange Formula:
Maximum error

5. Question 4 SOLUTION: 0.0047 0.0041 0.0056 0.0044 0.0070 Max error
Lagrange Formula:
Max error

6. Taylor series: <1 must be =2.5 =25C
=2.5 =2
Taylor series:
<1
must be
Seven terms (terms # 0,1,2,3,4,5,6) must be added.

7. 6NC
Taylor polynomial:
because

8. 7NC

9. 8NC
True
False
True

10. Problem 9
I, II, III
II, I, III
III, I, II
II, III, I
III, II, I