Subject Experts Solutions for Chapter: Areas Bounded by Regions, Exercise 1: Practice Exercise

The area bounded by the circle $x^2+y^2=8$, the parabola $x^2=2y$ and the line $y=x$ in $y\ge 0$

$\mathrm{I}$. has area $=\left(2\pi +\frac{4}{3}\right)$ sq units

$\mathrm{II}$. has area $=\left(2\pi +\frac{2}{3}\right)$ sq units

$\mathrm{III}$: the point of intersection of circle, parabola and line in $1\mathrm{st}$ quadrant is $\left(2,2\right)$.

Which of the following is true?

The area bounded by the curve $x=f\left(y\right)$, the $Y$-axis and the two lines $y=a$ and $y=b$ is equal to

What is the area of the region bounded by the lines $y=x, y=0$ and $x=4$

What is the area of the portion of the curve $y=\sin x,$ lying between $x=0, y=0$ and $x=2\pi$ $?$

What is the area of the region enclosed by $y=2\left|x\right|$ and $y=4$

What is the area of the triangle bounded by the sides $x=0, y=0$ and $x+y=2$ $?$

What is the area bounded by the lines $x=0, y=0$ and $x+y+2=0$ $?$

The area bounded by the coordinate axes and the curve $\sqrt{x}+\sqrt{y}=1$ is