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The function V(x) = x(10 - x)(16 - x), 0

The function V(x) = x(10 - x)(16 - x), 0

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
Problem 63RE
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The function V(x) = x(10 - x)(16 - x), 0 <x< 10, models the volume of a box. (a) Find the extreme values of V. (b) Interpret any values found in part (a) in terms of the volume of the box. (a) The extreme value(s) of V is/are (Use a comma to separate answers as needed.) (b) Select the correct choice below and fill in the answer box within the choice. (Use a comma to separate answers as needed.) O A. The value found in the previous step represents the largest volume of the box and occurs when x= O B. The values found in the previous step represent the smallest and the largest volumes of the box and they occur when x= and x = respectively. O C. The value found in the previous step represents the smallest volume of the box and occurs when x =
Transcribed Image Text:The function V(x) = x(10 - x)(16 - x), 0 <x< 10, models the volume of a box. (a) Find the extreme values of V. (b) Interpret any values found in part (a) in terms of the volume of the box. (a) The extreme value(s) of V is/are (Use a comma to separate answers as needed.) (b) Select the correct choice below and fill in the answer box within the choice. (Use a comma to separate answers as needed.) O A. The value found in the previous step represents the largest volume of the box and occurs when x= O B. The values found in the previous step represent the smallest and the largest volumes of the box and they occur when x= and x = respectively. O C. The value found in the previous step represents the smallest volume of the box and occurs when x =
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