if the side of the cube is increasing with respect to time at the rate of 3 cm /s , then the volume of cube increses with respect to time when its side is 2 cm is
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Answer:
we start from the........and mark it as.........The other parallels are marked from........... to...........The parallels in the ........... Hemisphere are marked...........or............The parallels in the..........are marked S or South......... The North Pole is written as..........The...........is written as 90 degree South Parallels are drawn at intervals of............. Hence, there are........... parallels in the...........and 90...........in the.........in all there are........... parallels which includes the...........as well.
Answer:
The answer is 36cm³/s
Explanation: let x be tha side of the cube and v would be the volume.
given that the side of the cube is increasing at the rate of
3cm/s. Thus dx/dt =3xcm/s
Calculating dv/dt when x=2
V =x³ which is the volume of the cube
differentiate W.r.t time
dv/dt =d(x)³/dt x dx/dt
dv/dt =d(x)³/dx x dx/dt
dv/dt =x³ x dx/dt
dv/dt =3x² x 3
dv/dt =9x²
When x=2
dv/dt→ x=2 =9(2)²
=36
Since the value is in cm and time is in secs
dv/dt =36cm³/sec