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Practice questions from similar books
Question 1
A body at a temperature of
is placed outdoors where the temperature is
. If the rate of change of the temperature of a body is proportional to the temperature difference between the body and its surrounding medium. If after 5 min the temperature of the body is
, find (a) how long it will take the body to reach a temperature of 75
F and (b) the temperature of the body after 20 min.Question 2
Form the differential equation of family of lines situated at a constant distance
from the origin.Question 3
Find the time required for a cylindrical tank of radius
and height
to empty through a round hole of area
at the bottom. The flow through the hole is according to the law
, where
and
, are respectively, the velocity of flow through the hole and the height of the water level above the hole at time
and
is the acceleration due to gravity.
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