Q.1.
The total cost P(x) in rupees associated with a product is given by P(x)=0.4x2+2x-Find the marginal cost if the no. of units produced is 5.
Q.2.
If the rate of change of radius of a circle is 6 cm/s then find the rate of change of area of the circle when r=2 cm.
Q.3.
The edge of a cube is increasing at a rate of 7 cm/s. Find the rate of change of area of the cube when x=6 cm.
Q.4.
The rate of change of area of a square iscm2/s. What will be the rate of change of side if the side iscm.
Q.5.
If the circumference of the circle is changing at the rate of 5 cm/s then what will be rate of change of area of the circle if the radius is 6cm.
Q.6.
The total cost N(x) in rupees, associated with the production of x units of an item is given by N(x)=0.06x3-0.01x2+10x-Find the marginal cost when 5 units are produced.
Q.7.
The length of the rectangle is changing at a rate of 4 cm/s and the area is changing at the rate of 8 cm/s. What will be the rate of change of width if the length is 4cm and the width is 1 cm.
Q.8.

At what rate will the lateral surface area of the cylinder increase if the radius is increasing at the rate of 2 cm/s when the radius is 5 cm and height is 10 cm?