Use least square regression to fit a) linear, b)second order polynomial and c) exponential equation to the data given below. Find R' for each of the cases. You can use "add trendline" function of excel to simply solve this problem. Provide plots of data points and fitted equations. 1 21 38 44 4. 65 75 6. 82 7. 95 8. 105 9. 122 10 150

Q: FIND THE MACLAURIN/TAYLOR SERIES OF f (x) = 2x¬² in powers of (x – 1).

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Q: 5 1' X' = |-5 -6 4 X 0 2 2 5

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Q: 3. Consider the simultaneous equations fi(z, y. 2) = (ry- - 1) = 0, f2(x, y, 2) = (xy² +z2-15y) = 0,...

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Q: 6 2/5 + 1 3/10

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Q: Suppose the following data points are generated by a smooth function f(x): -1 -2/3 -1/3 0. 1/3 2/3 1...

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Q: (e) Decide if the following arguments are valid or invalid. State the Rule of Inference or fallacy u...

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A: ex+ydx=e-2ydydydx=exeye-2ydydx=exe3y∫e-3ydy=∫exdxe-3y-3=ex+cPut x=0,y=0, we get c=-43So, e-3y=-3ex+4

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Q: sin wt O1 VI

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