Mathematics, 26.10.2020 16:40, bethdove9466
The volume of a rectangular box with a square base remains constant at 1000 cm3 as the area of the base increases at a rate of 4 cm2 /sec. Find the rate at which the height of the box is decreasing when each side of the base is 12 cm long.
Answers: 1
), measured in cubic centimeters, by means of this formula:
(Eq. 1) 
- Area of the base of the box, measured in centimeters.
- Height of the rectangular box, measured in centimeters. 
(Eq. 1b)
(Eq. 2)
- Rate of change of the area of the base in time, measured in square centimeters per second. 
- Rate of change of the height of the box in time, measured in centimeters per second. 
, 
and 
, then the rate of change of the area of the base in time is:
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