Let $f(x, y)=\{(x, y): y^2 \leq 4x, 0\leq x\leq \lambda\}$ and $s(\lambda)$ is area such that $\dfrac{S(\lambda)}{S(4)}=\dfrac{2}{5}$. Find the value of $\lambda$.

Semicircles are drawn outside by taking every side of regular hexagon as a diameter. The ;perimeter of hexagon is 60 cm. Find the area of complete figure formed as such.($\pi$ = 3.14) ($\sqrt3$ = 1.73)

দৃশ্যকল্প-১: $f(x)=x+1, g(x)=x-1, h(x)=x^{2}+9$

দৃশ্যকল্প-২: $y=\cos x$

The area of the region bounded by the curves $\mathrm{y}=\sqrt{x}$ and $y=\sqrt{4-3x}$ and $\mathrm{y}=0$ is:

Area of the region bounded by $y=x-[x],\ y=[x]$ and $\mathrm{x}$-axis in $[$0,2 $]$ is: