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

Math

Calculus

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

Holt Mcdougal Larson Pre-algebra: Student Edition 2012

1st Edition

ISBN:9780547587776

Author:HOLT MCDOUGAL

Publisher:HOLT MCDOUGAL

Chapter8: Linear Functions

Section8.7: Function Notation

Problem 17E

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Question

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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