Matematika va informatika Oraliq, yakuniy nazorat va mustaqil ta’lim savollari To‘plam, to‘plam elementi

67. Quyidagi to‘plamlarning qaysi biri bo‘sh to‘plam?
a) A={x: x²+ 2x+10=0, x  R};
b) B= {x: x² -2x+5=0 X  Z}
v) C={x: Z 0  x  40, x  N, x - tub son};
g) D = {x: sin2x= , xR, x>0}
(G.Jo`rayev, A.Sa’dullayev, G.Xudoyberganov, H.Mansurov, A.Vorisov. Oliy matematika asoslari I qism, Toshkent 1995, 5-9-b)
68. a) Agar A={1,2,3,5,7,10,12}, B={2,4,6,8,10} bo‘lsa, AB, A B, B\A, A\B, A B.
to‘plamlarning toping.
b) agar A={k: k=4n+l, nZ}, B={k:k=4n+3, n Z} bo‘lsa, AB to‘plamni toping.
b) agar A=[0;2], B= [1;5] bo‘lsa, AB, A B, B\A, A\B, A B to‘plamlarni toping.
(G.Jo`rayev, A.Sa’dullayev, G.Xudoyberganov, H.Mansurov, A.Vorisov. Oliy matematika asoslari I qism, Toshkent 1995, 5-9-b)
69. to‘plamlar ustida amallarni bajaring:
[8;15]  [9;20]; [-1;1]  [-1;0); (-1-.0] [l;+);
[1;+)  [0;); [-1;0)  [0;4]; {4} (-;4);
(0:2)  [0;2); [3;15] \ (5;16); [3;16]\[5;15];
[3;5] [2;7]; [2;5]  [3;7].
(J.Hojiyev, A.S. Faynleyb. Algebra va sonlar nazariyasi kursi, Toshkent-O`zbekiston - 2001, 5-10-b)
70. ni hisoblang.
(J.S.Sultonov, Oliy matematika, Samarqand-2014, 194-197-b)
71. amallarni bajaring.
(J.S.Sultonov, Oliy matematika, Samarqand-2014, 194-197-b)
72. Quyidagi tenglamalarda x va u larni haqiqiy son hisoblab, ularni toping.
1) (2 - 3i)x + (3 + 2i)y = 2 - 5i; 2) (5 + 2i)x + (1 - 3i)y = 4 - i;
3) (2-i)x + (5+6i)y = l-3i; 4) x + 8i +(y-3)i= 1;
5) (3 + i)x - 2(1 + 4i)y=-2-4i; 6) (1 + 2i)x + (3 – 5i)y = 1-3i
(J.S.Sultonov, Oliy matematika, Samarqand-2014, 194-197-b)
73. Algebraik shakldagi kompleks sonlar ustida amallarni bajaring
1) (S + 4i) + (3 – 7i) - (2 + 5i): 2) (1+i)(2+i)+


(J.S.Sultonov, Oliy matematika, Samarqand-2014, 194-197-b)