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  3. problem 4 20 answer the following questions part i 8...

Question: problem 4 20 answer the following questions part i 8...

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Problem 4 (20). Answer the following questions Part I (8 points, one each) Say which of the following functions is LINEAR (remember that linear is different from affine): (a). 2x1 +1 r23 (b). (log5)125 (c). sin(ri) - r25 (d). xı - 3 5A (e). xi - r3 54+1 r1 +2x2 - 4.x3 (g), x1 + x2 + x1 T13x2 sin(2)ra 2 + cos(4) Part II (12 points, 6 each) (a). Suppose that the value of a linear function at [2, 1, 111 is 4. Which is the value of the same function at 4,2,27 (note that [4,2,22 2,1,1)? Which property of the function did you use to answer? (b). Suppose that the values of a linear function at [2,1,-1]7 and [2,0, 1] are 4 and 7, respectively 0-2,1,-2,0, 1? Which property Which is the value of the same function at 4, 1,0 of the function did you use to answer?

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