Question

node index, i 2 3 0 depth, z (m) 12 32 -52 -72 92 -130 -180 -230 -280 -330 temperature, T (C) 15.3 15.29 15.28 15.27 15.26 15.22 15.14 14.19 13.31 12.9 Table 1: Temperature of seawater in the upper ocean surface layer Problem 4 (hand-calculation): Consider the seawater temperature data in table 1 to estimate the ternperature at depth z = 150 m. Use Newton polynomials with the following nodes (a) Nodes i = 3 and 4. (b) Nodes i 3 through 5 (c) Nodes i = 3 through 6. Take a photo of your work. Include all pages in a single photo named problem4.jpg. Set the following in your homework script: figure(4); imshow(imread('problem4.jpg')i p4 'See figure 4'.

Answer 1

a) Nodes c 2 and 又 -72-92 31 -L al T 15.26-15-21 ー(n)= 15.27 t 0.0005 (14T2} Z 12 21 30 15.27 15.2 เ 15-22,

n-)-1 2 22-152 -1.30 t 92. A O 001O 312 2 92

之-12-92-133-lgo T15526 1522 15 0 15 14 -15.22 2n)n 2 서- 2 -3

Al.no ını/ブ2 | ns) --6-2万乂100+4.4떠'X 10 130 f 12 (-150): 15-1805 °C