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轉學考-離散數學
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99年 - 99 淡江大學 轉學考 離散數學#55471
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4. Find the smallest equivalence relation on {1,2,3} that contains (1,2). (12 pts) Justify your answer.
其他申論題
5. GivenA =，and/(A) = A3 -2A2 +5A-3, find f(A). (20 points) Note: Evaluating each term in f (A) separately and then adding it up are not credited.
#208746
6. Solve the following 2nd-order ordinary differential equation. (15 points) y" + 2y' + y = 4e-x.
#208747
7. Evaluate . (15 points)
#208748
3. Prove or disprove: If (mod 4), where a and b are integers, then (mod 4). (12 pts)
#208749
5. How many nonnegative integer solutions are there to the equation x1 x2 + x3 + x4 = 21 such that (12 pts) Show enough work to get full credits.
#208751
6. Apply Dijkstra’s Algorithm to find a shortest path from a to f. Indicate what is your shortest path and the total weight of the path. You must show every step in order to get full credits. (14 pts)
#208752
7. Use mathematical induction to prove that 3 divides n3+2n whenever n is a nonnegative integer. (15 pts) (3整除n3+2n, n為非負整數）（必須以歸納證明的方法證得）
#208753
沒有 【段考】高二數學下學期 權限，請先開通．
#208754
沒有 【段考】高二數學下學期 權限，請先開通．
#208755
沒有 【段考】高二數學下學期 權限，請先開通．
#208756
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