Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 15 inches by b = 12 inches by cutting a square of side æ at each corner and turning up the sides (see the figure). Determine the value of x that results in a box the maximum volume. (1) Express the volume V as a function of x (do not simplify): V = (2) Determine the upper limit of the domain of the function: V (3) Simplify the function: V = (4) The maximum volume is V = (5) Answer the original question. The value of x that maximizes the volume is:
Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 15 inches by b = 12 inches by cutting a square of side æ at each corner and turning up the sides (see the figure). Determine the value of x that results in a box the maximum volume. (1) Express the volume V as a function of x (do not simplify): V = (2) Determine the upper limit of the domain of the function: V (3) Simplify the function: V = (4) The maximum volume is V = (5) Answer the original question. The value of x that maximizes the volume is:
Chapter4: Rational Functions And Conics
Section4.2: Graphs Of Rational Functions
Problem 79E
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Advanced Math
Transcribed Image Text:Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 15
inches by b = 12 inches by cutting a square of side x at each corner and turning up the sides (see the
figure). Determine the value of x that results in a box the maximum volume.
to iu ik ia la isi
(1) Express the volume V as a function of x (do not simplify):
V
(2) Determine the upper limit
the domain of the function: V
(3) Simplify the function: V =
(4) The maximum volume is V
(5) Answer the original question. The value of x that maximizes the volume is:
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