All boxes with a square base, an open top, and a volume of 120 ft cubed have a surface area given by S(x)equalsx squared plus StartFraction 480 Over x EndFraction , where x is the length of the sides of the base. Find the absolute minimum of the surface area function on the interval (0,infinity). What are the dimensions of the box with minimum surface area?

b

step-by-step explanation:

a difference is the result of subtraction. while each of these expressions has subtraction in it, a difference will be the result when subtraction is the last operation applied in the order of operations for the expression. this means subtraction must be outside of the parenthesis. only b has this.

set each factor equal to 0

4x-3 = 0

2x-1 = 0

solve for x.

4x-3=0

4x=3

x= 3/4

solve for x. 

2x-1= 0

2x= 1

x= 1/2

your answer should be 1/2 is less than or equal to x and 3/4 is greater than or equal to x

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