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##### Prove the following [see Exercise $7.5]$: (a) $\lim [\sqrt{n^{2}+1}-n]=0$ (b) $\lim [\sqrt{n^{2}+n}-n]=\frac{1}{2}$ (c) $\lim [\sqrt{4 n^{2}+n}-2 n]=\frac{1}{4}$

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##### PrablermConsider the following linear system:Ti + 202 34 201 302 814 Rr1 2n1 94=Write the sustem the for Ar =Clearly identify your Ar andb.Ust Camer rulc to find the value o f[ mwvAsibleWv I not mnssible:

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##### Use computer software packages such as Minitab or Excel; to solve this problem.Consider the following data for two variables I and y-24 26 28 32 = 37 = 42 12 21 33 35 40 = 36Develop an estimated regression equation for the data of the form 1 = bo + b1z (to 2 decimals, if necessary) Enter negative value as negative number:b. Using the results from part (a), test for significiant relationship between and y;use & = 0.05 _ What is the value of the coefficient of determination (t0 3 decimal

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