Mathematics, 24.08.2019 04:30 dbih2014
An open metal tank of square base has a volume of 123 m^3
given that the square base has sides of length x metres, find expressions, in terms of x, for the following.
a)
the height of the tank
b)
the surface area of the tank
c)
given that the surface area is a minimum, find the value of .
s′(x)=
therefore,
x= (give your answer to 2 decimal places)
check this is a minimum.
s″(x)=
substitute your value for into s″(x) and determine whether is it a minimum.
type 'y' for yes, 'n' for no, or 'u' for undefined.
hence, the minimum area of metal used is
amin= (give your answer to 2 decimal places)
Answers: 3
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An open metal tank of square base has a volume of 123 m^3
given that the square base has sides...
given that the square base has sides...
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