x+2y+2z=S sirtning (1,0,2) nuqtasigagi normal vektomi toping
A) {1,1,2} B) {3,2,1} C) {2,2,2} D) {1,2,2}
JVs9 u=l/(xy)+xy/z skalyar maydonning M( 1; 1; 1) nuqtadagi gradientini
toping
A) {0,0,-!} B) {1,1,1} C) {0,2,-1} D) {-l,-2,2}
JValO u=xy7+x?z+l skalyar maydonning M (l;l;l)
nuqtadagi yo‘nalish
bo‘yicha hosilasini toping. Yo‘nalish M dan N(2;3;3)nuqtagayo‘nalgan
A) -3 B) 8 C) 5 D) 3
JVall u=xy+yz+xz skalyar maydonning M( 1; 1; 1) nuqtadagi eng katta o‘sish
yo'nalishini toping
A) {1,1,1} B) {1,2,3} C) {2,2,2} D) {,3,2,1}
JVal2 u=xy+y skalyar maydonning qaysi nuqtasidagi maydon gradienti
2i+j vektorga teng boMadi?
A) (0,2) B) (1,2) C) (0,0) D) (0,3)
JVal3 a=zyi+(3z+x)/x j+x/y k vektor maydonning x2 +y2 =4 silindming z=0
va x/2+y/3+z/5=l tekisliklar orasida joylashgan qismining to‘la sirtidan
o'tadigan oqimni toping
A) 32 B) 16 C) 2 D) 0
JV°14
a=zyi+(3z+x)/x j+ k vektor maydonning x2 +y2 +z2 =4 (z=0) sferaning
yuqori tomonidan o‘tadigan oqimini toping
A)
4 B) 0 C) -2 D) 6
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vektor
g ning qanday qiymatida a=gx i+(3z+x)/x j+ x/(x+3y) k maydon solenoidal bo‘ladi?
A)
g=4 B)
g=3 C)
g=5 D)
g=0
JVal5
JVal6 a = x/(zy)i + y j + x/z k maydon uchun
diva(l;l;l)=l A)
1 B)
2 C) 0 D) 4
JVal7 a = y z i +
yz j + xy> k maydon uchun
rota(l;l;l)=l A)
3 B) {0,0,1} C) {1,0,0}
D) {1,1,1}
JVal8
a = (x2+y) i + z j + x/z k maydonning A( 1; 1; 1 )va B (l;2;l) nuqtalami
tutashtimvchi tug’ri chiziq bo'yicha chiziqli integralni hisoblang
A)
2/7 B)
2 C) 0 D) 1
JVal9
Maydonlarning qaysilari potensialli maydon
l.{xz; 2y; xy) 2.(2xy+z2; 2yz+x2; 2 xz+y2} 3. {x3; y 3; xz3} (to ‘la javobni keltiring) A)
2 B)
1,2 C) hammasi D) 3
