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The function V(x) = x(7- x)(15 - x), 0

The function V(x) = x(7- x)(15 - x), 0

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The function V(x) = x(7- x)(15 - x), 0<x<7, 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 smallest volume of the box and occurs when x= OB. The value found in the previous step represents the largest volume of the box and occurs when x= 6 O C. 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.
Transcribed Image Text:The function V(x) = x(7- x)(15 - x), 0<x<7, 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 smallest volume of the box and occurs when x= OB. The value found in the previous step represents the largest volume of the box and occurs when x= 6 O C. 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.
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