If a and b are unit vectors, find the angle between a + b and a -…

Evaluate the following :

$\int \frac{1}{\sqrt{3 x^2+8}} \cdot d x$

→

Solve the differentlal equation $x^2 \frac{d y}{d x}=x^2+x y+y^2$

→

Evaluate the following:
$\sec^{-1}\Big(\sec\frac{25\pi}{6}\Big)$

→

Evaluate:$\int\limits^3_23^\text{x}\text{ dx}$

→

Write converse and inverse of the following statement: "If $x>y$ then $x^2>y^{2 }$"

→

Find the angle between the planes $\bar{r} \cdot(2 \bar{i}+\bar{j}-\bar{k})=3$ and $\bar{r} \cdot(\bar{i}+2 \bar{j}+\bar{k})=1$

→

Solve the following differential equations.

$\sec ^2 x \cdot \tan y d x+\sec ^2 y \cdot \tan x d y=0$

→

Find the Cartesian co-ordinates of the point whose polar co =ordinates are $\left(\frac{1}{2}, \frac{\pi}{3}\right)$

→

Evaluate the following integrals:$\int\limits^3_0\frac{1}{\text{x}^2+9}\text{ dx}$

→

Find the inverse of the matrix $\begin{bmatrix} 3 & -2 \\ -7 & 5 \end{bmatrix}$.

→

Answer