SOLUTION: The dimension of a box are a, a � 1, a + 4 inches, Find how fast the total surface area S increases as a increases. (differential calculus problem)

SOLUTION: The dimension of a box are a, a � 1, a + 4 inches, Find how fast the total surface area S increases as a increases. (differential calculus problem)

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Question 934871: The dimension of a box are a, a � 1, a + 4 inches, Find how fast the total surface area S increases as a increases. (differential calculus problem)
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
S = 2(a(a-1) + a(a+4) + (a-1)(a+4))
S = 6a^2 + 12a - 8
dS/da = 12a + 12
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