Instantaneous Rate of Change
Trending Questions
- 73 cm2/sec.
- 37 cm2/sec.
- 75 cm2/sec.
- 57 cm2/sec.
A spherical iron ball in radius is coated with a layer of ice of uniform thickness that metals at a rate of . when the thickness of ice is , then the rate of which the thickness of ice decreases, is
A spherical balloon is pumped at the rate of 10inch3/min, the rate of increase of its radius if its radius is 15 inch is
- 130πinch/min
160inch/min
190inch/min
1120inch/min
- 9 seconds
- 5/3 seconds
- 3/5 seconds
- 2 seconds
Rate of change is always measured with respect to time
True
False
x and y are the sides of two squares such that y=x−x2. The rate of change of area of the second square with respect to that of the first square is
2x2+3x2+1
3x2+2x2−1
2x2−3x+1
3x2+2x+1
(Assume that the initial radius of the balloon is 2 cm)
- 128π cm3/min
- 64π cm3/min
- 32π cm3/min
- 16π cm3/min
- 1800√3 m
- 2400√3 m
- 1200√3 m
- 3600√3 m
If a particle moving along a line follows the law s=√1+t then the acceleration is proportional to
Square of the velocity
Cube of the displacement
Cube of the velocity
Square of the displacement
A spherical balloon is filled with 4500π cubic meters of helium gas. If a leak in the ballon causes the gas to escape at the rate of 72π cubic meters per minute, then the rate (in meters per minute) at which the radius of the ballon decreases 49 minutes after the leakage began is:
- 97
- 79
- 29
- 92
four hollw cubical boxes each having outer adges 1.0 m are joined to form a double bed in which top face is a squre.If the wood used is of thickness 5 cm and all the four boxes can be opened, then what is the capacity of the boxes of the double bed in cubic meteres?