The function V(x) = x(20 – 2x)(16 – x), 0

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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20.) a.) find extreme values of V b.) find x in relationship to extreme value
The function V(x) = x(20 - 2x)(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 N
(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=
O B. The value found in the previous step represents the largest volume of the box and occurs when x=
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.
ispute
hoto
Click to select your answer(s).
C
F5
F3
F4
F6
F7
F8
F9
F10
F-
3.
4
7
E
R
Y
U
* 00
CO
团
Transcribed Image Text:The function V(x) = x(20 - 2x)(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 N (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= O B. The value found in the previous step represents the largest volume of the box and occurs when x= 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. ispute hoto Click to select your answer(s). C F5 F3 F4 F6 F7 F8 F9 F10 F- 3. 4 7 E R Y U * 00 CO 团
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