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.
  • a) Rs.3
  • b) Rs.4
  • c) Rs.5
  • d) Rs.6
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.
  • a) 74.36 cm2/s
  • b) 75.36 cm2/s
  • c) 15.36 cm2/s
  • d) 65.36 cm2/s
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.
  • a) 578 cm2/s
  • b) 498 cm2/s
  • c) 504 cm2/s
  • d) 688 cm2/s
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.
  • a) 2 cm/s
  • b) 4 cm/s
  • c) 8 cm/s
  • d) 6 cm/s
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.
  • a) 20 cm2/s
  • b) 40 cm2/s
  • c) 70 cm2/s
  • d) 30 cm2/s
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.
  • a) Rs. 1.44
  • b) Rs. 144.00
  • c) Rs. 14.4
  • d) Rs. 56.2
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.
  • a) 5 cm/s
  • b) 6 cm/s
  • c) 2 cm/s
  • d) 1 cm/s
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?

  • a) 40 cm/s

  • b) 40π cm/s

  • c) 400π cm/s

  • d) 20π cm/s

0 h : 0 m : 1 s