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(3) Expand the function V for easier differentiation: V = (4) Find the derivative of the function V: V'= (5) Find the critical point(s) in the domain of V: (6) The value of V at the left endpoint is (7) The value of V at the right endpoint is (8) The maximum volume is V = (9) 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 = 8 inches by b = 6 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. 7 + 2 -1 صل X 160 b Following the steps to solve the problem. Check Show Answer only after you have tried hard. (1) Express the volume V as a function of x: V = (2) Determine the domain of the function V of x (in interval form): (3) Expand the function V for easier differentiation: V =

(3) Expand the function V for easier differentiation: V = (4) Find the derivative of the function V: V'= (5) Find the critical point(s) in the domain of V: (6) The value of V at the left endpoint is (7) The value of V at the right endpoint is (8) The maximum volume is V = (9) 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 = 8 inches by b = 6 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. 7 + 2 -1 صل X 160 b Following the steps to solve the problem. Check Show Answer only after you have tried hard. (1) Express the volume V as a function of x: V = (2) Determine the domain of the function V of x (in interval form): (3) Expand the function V for easier differentiation: V =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter2: Linear Equations
Section2.1: Writing Equations
Problem 14CYU
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(3) Expand the function V for easier differentiation: V = (4) Find the derivative of the function V: V'= (5) Find the critical point(s) in the domain of V: (6) The value of V at the left endpoint is (7) The value of V at the right endpoint is (8) The maximum volume is V = (9) Answer the original question. The value of x that maximizes the volume is:
Transcribed Image Text:(3) Expand the function V for easier differentiation: V = (4) Find the derivative of the function V: V'= (5) Find the critical point(s) in the domain of V: (6) The value of V at the left endpoint is (7) The value of V at the right endpoint is (8) The maximum volume is V = (9) 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 = 8 inches by b = 6 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. 7 + 2 -1 صل X 160 b Following the steps to solve the problem. Check Show Answer only after you have tried hard. (1) Express the volume V as a function of x: V = (2) Determine the domain of the function V of x (in interval form): (3) Expand the function V for easier differentiation: V =
Transcribed Image Text:Open-box Problem. An open-box (top open) is made from a rectangular material of dimensions a = 8 inches by b = 6 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. 7 + 2 -1 صل X 160 b Following the steps to solve the problem. Check Show Answer only after you have tried hard. (1) Express the volume V as a function of x: V = (2) Determine the domain of the function V of x (in interval form): (3) Expand the function V for easier differentiation: V =
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