A rectangular box with no top is to be constructed having a volume of 4 inches. What width x, in inches, will minimize the amount of material to be used in its construction. (Assume no material is wasted.)

A) width = 2 inches
B) width = 5 inches
C) width = 3 inches
D) width = 6 inches
E) width = 4 inches

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

    x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c

step-by-step explanation:

no solution.