**
**

**1)The Radius of a circle is increasing at rate of 0.7 cm/sec.What is the rate of increase of its circumfrance.**.

**2).The radius of a circle is increasing uniformaly ,then show that the rate of 3cm/s .Find the rate at which the area of the circle is increasing when radius is 10cm.**.

**3)A ballon which always remains spherical ,has a variable diameter \[\frac{3}{2}(2x+1)\] Find the rate of change of its volume with respect to x.**.

**4).A particle moves along a curve \[y=\frac{4}{3}x^3+5\]. Find the points on the curve at which the y-coordinates changes as fast as the x-coordinate?**.

**5).A man 160 cm tall ,walks away from a source of light situated at top of a pole 6meter highat the rate of 1.1 m/sec .how fast is the lenght of his shadow increasing when he is 1 meter away from the pole?**.

**6).The radius of a cyclinder increases at the rate of 1 cm/sec .And its height decreases at the rate of 1 cm/sec .Find the rate of change of its volume when the radius is 5 cm and the height is 5 cm?**.

**7)The volume of a sphere is increasing at the rate of \(8cm^3/sec\).Find the rate at which its surface area is increasing ,when the radius of sphere is 12cm?**.

**8).An edge of a variable cube is increasing at the rate of 3 cm /sec .How fast is its volume increasing when the edge is 10 cm long?**.

**9)Water is dripping out from a conical funnel at the rate of \(2 cm^3/sec\) through a tiny hole at the bottom.When the slant height of water is 5 cm ,find the rate of decrease of the slant height of the curve?**.

**10)The lenght 'z' of a rectangle is decreasing at the rate of 3cm/sec and the width 'x' is increasing at the rate of 2cm/sec .Find the rates of cahnge of \[\text{a). PERIMETER}\] \[b).\text{AREA OF RECTANGLE}\]**.

## 0 Comments