A circular ink blot on a piece of paper increases its area at the rate $4mm^{2}/s$. Find the rate of the radius of the blot when the radius is 8mm. $[\pi = \frac{22}{7}]$

Similar Questions

If $P = \begin{pmatrix} 1 & -2 \\ 3 & 4 \end{pmatrix}$ and \(Q = \begin{pmatrix} -2 & ...

Find the unit vector in the direction of (-5i + 12j). ...

A stone is thrown vertically upwards and its height at any time t seconds is $h = 45t - 9t^{2}$. F...

Evaluate $∫^0_{-1}$ (x + 1)(x - 2) dx...

$\alpha$ and $\beta$ are the roots of the equation $2x^{2} - 3x + 4 = 0$. Find \(\frac{\alpha}...

Find the coordinates of the centre of the circle 3x$^2$ + 3y$^2$ - 6x + 9y - 5 = 0...

p and q are statements such that $p \implies q$. Which of the following is a valid conclusion from...

If $a = \begin{pmatrix} 3 \\ 2 \end{pmatrix}$ and $b = \begin{pmatrix} -3 \\ 5 \end{pmatrix}$, f...

In △PQR, $\overline{PQ}$ = 5i - 2j and $\overline{QR}$ = 4i + 3j. Find \(\...

...