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Need to figure out how solve this on MatLab this is for my matlab class, i dont understand well the question myself. i did it

Need to figure out how solve this on MatLab
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this is for my matlab class, i dont understand well the question myself. i did it by hand but need to figureo ut how to do it using matlab as program
Problem 4 (20%): A common function to explain the ion channel dynamics in cell membranes is rv) =In(4+5v) where v is the membrane potential and r(v) describes the response of the channel to a given voltage. To visualize different approximations of the channel response, approximate it with 1, 2, 3, 4, and 5-term (n-0,1,2,3,4) Taylor series expansion about a membrane potential of zero; then plot each expansion and the exact value of r(v) on a single axes around the typical range of membrane potentials, v=-1 to v-1. Label your axes and indicate what each curve represents (consider the "legend" command). r(u) = ln 14+5 ) Selis Do Taylor, V=O Vao rco- ln (4+50) | rro)= ln 4= 1.3863 r= (4+5v)'5 r"=-(4+50922 "a-(455 r"= 2 (4 +5v5'53 Tr", 2 (4) 53 r"= -2,3 (4+55 54 rr = -2x3 (41454 Vw)= 1.3863+ (-1m 5. v** 4+ (1+1) m + 3 mo M=1 m=2 n=3 n = 4 Troy 2 Tool 3 TERM 4 TERM 5 TERY 3

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