Explanation Theorem used: Rational Root Theorem: Any rational root r r of a polynomial equation f ( x ) = a n x n + a n − 1 x n − 1 + ... + a 0 = 0 is an integer factor of a 0 divided by an integer factor of a n . Therefore, r r = integer factor of a 0 integer factor of a n . Definition used: Descartes’ Rule of Signs: 1. The number of positive of a polynomial equation f ( x ) = 0 cannot be greater than the number of changes in sign in f ( x ) in moving from one term to the next in f ( x ) . 2. The number of negative cannot be greater than the number of sign changes in f ( − x ) . Calculation: It is given that the metal sheet is 10 cm square piece which is turned into rectangular tray of volume 70 cm 3 . Let the square corners cut be of side x cm. Thus, the length and width of the tray becomes ( 10 − 2 x ) cm each; the height will be x cm

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ISBN: 9780134437705

Author: Washington

Publisher: PEARSON

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Chapter 15.3, Problem 37E

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The length of the square side that must be cut out if the volume of the tray is given as 70.0 cm3.

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Chapter 15.3, Problem 36E

Chapter 15.3, Problem 38E

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Chapter 15 Solutions

Basic Technical Mathematics

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The length of the square side that must be cut out if the volume of the tray is given as 70 .0 cm 3 .

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The length of the square side that must be cut out if the volume of the tray is given as 70.0 cm3.

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Chapter 15 Solutions