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An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a side, by cutting equal squares from the corners ana turning up the sides (see figure). HER S- 2r (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, x Length and Width Volume, V 1 30 - 2(1) 1[30 - 2(1)]2 = 784 2 30 - 2(2) 2[30 – 2(2)]2 = 1352 30 – 2(3) 3[30 – 2(3)]2 =| 30 - 2(4) 4[30 – 2(4)]² = | 4 5 30 - 2(5) 5(30 – 2(5)]² = | 6 30 - 2(6) 6(30 - 2(6)]? =| Use the table to guess the maximum volume. V = (b) Write the volume V as a function of x.

An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a side, by cutting equal squares from the corners ana turning up the sides (see figure). HER S- 2r (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, x Length and Width Volume, V 1 30 - 2(1) 1[30 - 2(1)]2 = 784 2 30 - 2(2) 2[30 – 2(2)]2 = 1352 30 – 2(3) 3[30 – 2(3)]2 =| 30 - 2(4) 4[30 – 2(4)]² = | 4 5 30 - 2(5) 5(30 – 2(5)]² = | 6 30 - 2(6) 6(30 - 2(6)]? =| Use the table to guess the maximum volume. V = (b) Write the volume V as a function of x.

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.4: Complex And Rational Zeros Of Polynomials
Problem 39E
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HER An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a side, by cutting equal squares from the corners ana turning up the sides (see figure). 21 (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, x Length and Width Volume, V 1 30 - 2(1) 1[30 - 2(1)]2 = 784 30 - 2(2) 2[30 - 2(2)]2 = 1352 2 3 30 - 2(3) 3[30 – 2(3)]? =| 4 30 – 2(4) |4[30 – 2(4)]2 = | 30 - 2(5) 5(30 – 2(5)]² = 6 30 - 2(6) 6[ 30 – 2(6)]2 = Use the table to guess the maximum volume. V = (b) Write the volume V as a function of x.
Transcribed Image Text:HER An open box of maximum volume is to be made from a square piece of material, s = 30 centimeters on a side, by cutting equal squares from the corners ana turning up the sides (see figure). 21 (a) Analytically complete six rows of a table such as the one below. (The first two rows are shown.) Height, x Length and Width Volume, V 1 30 - 2(1) 1[30 - 2(1)]2 = 784 30 - 2(2) 2[30 - 2(2)]2 = 1352 2 3 30 - 2(3) 3[30 – 2(3)]? =| 4 30 – 2(4) |4[30 – 2(4)]2 = | 30 - 2(5) 5(30 – 2(5)]² = 6 30 - 2(6) 6[ 30 – 2(6)]2 = Use the table to guess the maximum volume. V = (b) Write the volume V as a function of x.
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