Alex has 2000 in² of material, and he needs to make a box with a square base and an open top that has the largest volume possible. In order to find the dimensions and volume of his box, which of the following functions (in terms of a) would we need to maximize if we let a be the length and width of the box and y be its height? X ons A. Maximize: V(x) = x²+ 2000 B. Maximize: V(x) = 500x- 2-3 C. Maximize: V(2)-20002-2³ 8000 D. Maximize: V(x) = x² + E. Maximize: V(x) = x² - OA OB ос OD OE 123 MacBook Air

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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Alex has 2000 in² of material, and he needs to make a box with a square base and
an open top that has the largest volume possible. In order to find the dimensions
and volume of his box, which of the following functions (in terms of a) would we
need to maximize if we let a be the length and width of the box and y be its height?
X
ons
A. Maximize: V(x) = x²+
2000
B. Maximize: V(x) = 500x-
2-3
C. Maximize: V(2)-20002-2³
8000
D. Maximize: V(x) = x² +
E. Maximize: V(x) = x² -
OA
OB
ос
OD
OE
123
MacBook Air
Transcribed Image Text:Alex has 2000 in² of material, and he needs to make a box with a square base and an open top that has the largest volume possible. In order to find the dimensions and volume of his box, which of the following functions (in terms of a) would we need to maximize if we let a be the length and width of the box and y be its height? X ons A. Maximize: V(x) = x²+ 2000 B. Maximize: V(x) = 500x- 2-3 C. Maximize: V(2)-20002-2³ 8000 D. Maximize: V(x) = x² + E. Maximize: V(x) = x² - OA OB ос OD OE 123 MacBook Air
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