Topic
Q:
\( 12 ; 38 \) va 77 sonlarining har birini birdan katta
qanday natural songa bo'lganda qoldiqlar bir xil
bo'ladi?
Q:
(d) \( \frac{\sin 15^{\circ}+\cos 15^{\circ}}{\sin 15^{\circ}-\cos 15^{\circ}}=-\sqrt{3} \)
Q:
a) \( \int_{0}^{2} \sqrt{\tan \theta} d \theta \),
Q:
\( f(x)=\left\{\begin{array}{lll}x^{2}-1 & \text { for } & x<1 \\ x^{2}+1 & \text { for } & x \geq 1\end{array}\right\} \) at \( x=1 \)
Q:
a) \( \int_{0}^{+\infty} x^{a} e^{-x^{b}} d x=\frac{1}{b} \Gamma\left(\frac{a+1}{b}\right) \quad(a>-1, b>0 \)
Q:
упрости и найди значение выражения
\( \frac{\mathrm{x}^{2}-2 \mathrm{xy}+\mathrm{y}^{2}}{2 \mathrm{x}^{2} \mathrm{y}^{2}} \cdot \frac{\mathrm{x}^{2} \mathrm{y}^{3}}{\mathrm{x}^{2} \mathrm{y}-\mathrm{y}^{3}} \)
при \( \mathrm{x}=2, \mathrm{y}=-1 \frac{1}{2} \)
Q:
Three vertices of parallelogram \( P Q R S \) are \( P(-2,1) \),
\( Q(3,4) \) and \( R(6,1) \). Identify the coordinates of vertex \( S \).
Q:
51 \( X Y Z \) is a triangle in which \( \sin X=\cos X, m(\angle Y)=75^{\circ} \), then \( m(\angle Z)=\ldots \ldots \ldots \ldots \ldots \) in radian.
\( \begin{array}{llll}\text { (a) } \frac{\pi}{4} & \text { (b) } \frac{\pi}{6} & \text { (c) } \frac{\pi}{3} & \text { (d) } \frac{\pi}{5}\end{array} \)
Q:
\( \operatorname { im } _ { x \rightarrow 0 } ( ( \sin ( x ) ) ^ { 2 } \times \sin ( \frac { 1 } { x } ) ) \ldots \)
Q:
1) \( (x-6)(3-17 x)(2 x+8) \leq 0 \)
2) \( \left(x^{2}+5 x-6\right)(7 x-11)>0 \)
3) \( (3+5 x)\left(2 x^{2}-6 x+4\right)<0 \)
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