\( y=\frac{2 x-\pi}{x \operatorname{ctg} x} \) funksiyani \( x=0 \) va \( x=\frac{\pi}{2} \) nuqtalarda uzluksizlikga tekshiring va uzilish turini aniqlang.

Nyuton usulidan foydalanib, tenglamaning ildizini sakkiz xonali kasrgacha to'g'ri hisoblang. Dastlabki taxminlarni topish uchun grafik chizishdan boshlang. f \( f(x)=-x^{3}+4 x^{2}-2 x-14 \rightarrow \min , \varepsilon=0.001 \) xatolik bilan Nyuton usulida optimizatsiya masalasi yechimi topilsin.

If A is differentiable vector function, then \( \nabla \times \nabla \times A \) Select one: \( \nabla \nabla \cdot A-\nabla^{2} A \) 0 \( \nabla^{2} A \) \( \nabla \nabla \cdot A \)

Nyuton usulidan foydalanib, tenglamaning ildizini sakkiz xonali kasrgacha to'g'ri hisoblang. Dastlabki taxminlarni topish uchun grafik chizishdan boshlang. f \( f(x)=-x^{3}+4 x^{2}-2 x-14 \rightarrow \min , \varepsilon=0.001 \) xatolik bilan Nyuton usulida optimizatsiya masalasi yechimi topilsin.

41) \( \lim _{x \rightarrow \pi}\left(x^{2}-\pi^{2}\right) \tan \frac{x}{2} \)

O64ncirib \( \frac{1}{\pi^{1}} \int_{-7}^{0} \sqrt{49-x^{2}} d x \) Використовуючи рівняння кола \[ x^{2}+y^{2}=49 \]