Boshlang’ich, oraliq va yakuniy nazorat ishlar to’plami I bosqich talabalari uchun boshlang’ich, oraliq va yakuniy nazorat ishlar

Oraliq nazorat ish – 2.

I-variant.

1. To’rtta nuqta berilgan : A(0;1;-1), B(1;-1;2), C(3;1;0), D(2;-3;1). AB va

CD vektorlar orasidagi φ burchakning kosinusini toping.

2. x ning qanday qiymatlarida f(x) funksiya hosilasining qiymati

a) e^6x – sin x b) cosx – ln x

3. f (4) va f (5) ni toping.

a) 2x³ +3x²-12x –6 b) 3x⁴ – 4x³ –12x² +8

4. f(x)=2x ⁴-8x²+5 funksiyaning [-3; 4] kesmadagi eng katta va eng

kichik qiymatini toping.

II-variant.

1. Kesmaning bir uchi A(2;3;-1) va uning o’rtasi C(1;1;1) berilgan.

Kesmaning ikkinchi uchi B(x;y;z) ni toping.

2. Elementar funksiya hosilasini toping.

a) e ^–6x +log₃x b) sinx – 9e ^5x

3. f (2) va f (3) ni toping.

a) f(x)=2x⁵ +3x³-12x² –6 b) f(x)=3x⁴ – 4x² –12x³ +8

4. f(x)=4x⁴-6x²+8 funksiyaning [-2; 3] kesmadagi eng katta va eng

kichik qiymatini toping.