To find the least square polynomial approximation of degrees 2 to the function f(z) = on the interval [1, 3] we must solve the system O a. 2 ao +6 a, + 18.6667 az 0.693147, 6 ao +18.6667 a, +60 a, =2, 18.6667 ao +60 a,+ 198.4 a 6. O b. 3 ao +8 a, 12.6667 a 1.0986, 8 ag +12.6667 a, +40 a 2, 12.6667 ao t 40 a+ 78.6 az 3. Oc. ao +1.5 a,+2.3333 az 0.693147, 1.5 a +2.3333 a, +3.75 a -1, 2.3333 ao+3.75 a+6.2 a 1.5. d. 2 a +4 a+ 8.6667 a 1.0986 4 8.6667 a +20 a2, 86667 as20 a 48,4 a4.
To find the least square polynomial approximation of degrees 2 to the function f(z) = on the interval [1, 3] we must solve the system O a. 2 ao +6 a, + 18.6667 az 0.693147, 6 ao +18.6667 a, +60 a, =2, 18.6667 ao +60 a,+ 198.4 a 6. O b. 3 ao +8 a, 12.6667 a 1.0986, 8 ag +12.6667 a, +40 a 2, 12.6667 ao t 40 a+ 78.6 az 3. Oc. ao +1.5 a,+2.3333 az 0.693147, 1.5 a +2.3333 a, +3.75 a -1, 2.3333 ao+3.75 a+6.2 a 1.5. d. 2 a +4 a+ 8.6667 a 1.0986 4 8.6667 a +20 a2, 86667 as20 a 48,4 a4.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![To find the least square polynomial approximation of degrees 2 to the function f(z) = ! on
the interval [1, 3] we must solve the system
O a. 2 ao +6 a + 18.6667 az =0.693147,
6 ao +18.6667 a, +60 a, =2,
18.6667 ao +60 a+ 198.4 a =6.
O b. 3 ao +8 a +12.6667 a1.0986,
8 ao +12.6667 a, +40 az =2,
12.6667 ao + 40 a+ 78.6 a 3.
O c. ap +1.5 a + 2.3333 a #0.693147,
1.5 ao +2.3333 a, +3.75 a =1,
2.3333 ao +3.75 ai 6.2 az = 1.5.
d. 2 ao +4 ai+8.6667 a H1.0986
4 ao +35667 a+20 a 2,
8.6667 a6 20 a48,4 a-4.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fecb62848-32db-4847-bf0b-fa94eea3bfd4%2F440cb0ec-529e-4d44-b93c-b72387774a38%2F4p1xq6m_processed.jpeg&w=3840&q=75)
Transcribed Image Text:To find the least square polynomial approximation of degrees 2 to the function f(z) = ! on
the interval [1, 3] we must solve the system
O a. 2 ao +6 a + 18.6667 az =0.693147,
6 ao +18.6667 a, +60 a, =2,
18.6667 ao +60 a+ 198.4 a =6.
O b. 3 ao +8 a +12.6667 a1.0986,
8 ao +12.6667 a, +40 az =2,
12.6667 ao + 40 a+ 78.6 a 3.
O c. ap +1.5 a + 2.3333 a #0.693147,
1.5 ao +2.3333 a, +3.75 a =1,
2.3333 ao +3.75 ai 6.2 az = 1.5.
d. 2 ao +4 ai+8.6667 a H1.0986
4 ao +35667 a+20 a 2,
8.6667 a6 20 a48,4 a-4.
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