(i) Express h in terms of x. (ii) Show that the volume, V cm3, of the block is given by 32 V= 64x- Given that x can vary, (iii) Find the stationary value of V. Leave your answer in surd form. (iv)Determine whether this stationary value is a maximum or minimum.

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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Solve this question.
h cm
4x ст
2x cm
Given the total surface area of the cuboid is 96 cm2.
(i) Express h in terms of x.
(ii) Show that the volume, V cm3, of the block is given by
32
V = 64x -
3.
Transcribed Image Text:h cm 4x ст 2x cm Given the total surface area of the cuboid is 96 cm2. (i) Express h in terms of x. (ii) Show that the volume, V cm3, of the block is given by 32 V = 64x - 3.
(i) Express h in terms of x.
(ii) Show that the volume, V cm3, of the block is given by
32
V = 64x -
3
Given that x can vary,
(iii) Find the stationary value of V. Leave your answer in surd
form.
(iv) Determine whether this stationary value is a maximum or
minimum.
Transcribed Image Text:(i) Express h in terms of x. (ii) Show that the volume, V cm3, of the block is given by 32 V = 64x - 3 Given that x can vary, (iii) Find the stationary value of V. Leave your answer in surd form. (iv) Determine whether this stationary value is a maximum or minimum.
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