Answer :
(i) The side of the square = x
⇒ The dimensions of the box are
L = 7 – 2x
B = 5 – 2x
H = x
(ii) v(x) = L × B × H
⇒ v(x) = (7 - 2x) × (5 – 2x) × (x)
⇒ v(x) = (35 + 4x2 -24x) × (x)
⇒ v(x) = 4x3 – 24x2 + 35x – (1)
(iii) by (1)
⇒
⇒
Similarly,
v(1) = 4(1)3 – 24(1)2 + 35(1)
⇒ v(1) = 15
And
⇒
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