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

A force (10i + 4j)N acts on a body of mass 2kg which is at rest. Find the velocity after 3 seconds. ...

If α and β are the roots of 3x$^2$ - 7x + 6 = 0, find $\frac{1}{α}$ +...

Given that \(P = \begin{pmatrix} 3 & 4 \\ 2 & x \end{pmatrix}; Q = \begin{pmatrix} 1 & 3...

Given that $sin x = \frac{4}{5}$ and $cos y = \frac{12}{13}$, where x is an obtuse angle and y i...

The diagram above is a velocity- time graph of a moving object. Calculate the distance travelled whe...

Given that $P = \begin{pmatrix} 4 & 9 \end{pmatrix}$ and \(Q = \begin{pmatrix} -1 & -2 \\ ...

A particle is projected vertically upwards with a speed of 40 m/s. At what times will it be 35m abov...

Given that $P = {x : \text{x is a factor of 6}}$ is the domain of $g(x) = x^{2} + 3x - 5$, find ...

The equation of a circle is given as 2x$^2$ + 2y$^2$ - x - 3y - 41 = 0. Find the coordinates of ...

Forces 90N and 120N act in the directions 120° and 240° respectively. Find the resultant of ...