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 \[\text{a). PERIMETER}\] \[b).\text{AREA OF RECTANGLE}\].
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