12.5-bo'lim: Bir nechta o'zgaruvchilarning funktsiyalari

1-4-masalalar uchun berilgan funksiyaning sohasini toping.

1. \(f\left( {x,y} \right) = \sqrt {{x^2} - 2y} \) Yechim
2. \(f\left( {x,y} \right) = \ln \left( {2x - 3y + 1} \right)\) Yechim
3. \(\displaystyle f\left( {x,y,z} \right) = \frac{1}{{{x^2} + {y^2} + 4z}}\) Yechim
4. \(\displaystyle f\left( {x,y} \right) = \frac{1}{x} + \sqrt {y + 4} - \sqrt {x + 1} \) Yechim

5-7-masalalar uchun berilgan funksiya uchun darajadagi egri chiziqlarni (yoki konturlarni) aniqlang va chizing.

1. \(2x - 3y + {z^2} = 1\) Yechim
2. \(4z + 2{y^2} - x = 0\) Yechim
3. \({y^2} = 2{x^2} + z\) Yechim

8 va 9-masalalar uchun berilgan egri chiziqlarning izlarini aniqlang va chizing.

1. \(2x - 3y + {z^2} = 1\) Yechim
2. \(4z + 2{y^2} - x = 0\) Yechim