Q3.A BOx is made from a 8 by corners. a. Show that the volume b. Find V'(x) c. For which value of x is d. Find the maximum valu

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Q3.A box is made from a 8 by 8 cm cardboard by cutting offx cm squares at the at the
corners.
a. Show that the volume of the box is V(x) = 4x(x-4)²
b. Find V'(x)
c. For which value of x is the volume a maximum?
d. Find the maximum value
Transcribed Image Text:Q3.A box is made from a 8 by 8 cm cardboard by cutting offx cm squares at the at the corners. a. Show that the volume of the box is V(x) = 4x(x-4)² b. Find V'(x) c. For which value of x is the volume a maximum? d. Find the maximum value
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