enoids 1H Applications of functions 53 4 A cuboid tank is open at the top and the internal dimensions of its base are x m and 2x m. The height h m is h m. The volume of the tank is V m³ and the volume is fixed. Let S m2 denote the internal surface x m area of the tank. 2x m a Find S in terms of: hibnooo baoss e i x and h ii V and x b State the maximal domain for the function defined by the rule in part a ii. c If 2 < x< 15, find the maximum value of S if V = 1000 m³.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.3: Getting Information From The Graph Of A Function
Problem 64E
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1H
enoids 1H Applications of functions
53
4 A cuboid tank is open at the top and the internal
dimensions of its base are xm and 2x m. The height
h m
is h m. The volume of the tank is V m³ and the
volume is fixed. Let S m² denote the internal surface
x m
area of the tank.
2x m
niboo ta
a Find S in terms of:
brooo baoos
i x and h
ii V and x
g bwi on ter doud no
b State the maximal domain for the function defined by the rule in part a ii.
c If 2 < x < 15, find the maximum value of S if V = 1000 m³.
Transcribed Image Text:1H enoids 1H Applications of functions 53 4 A cuboid tank is open at the top and the internal dimensions of its base are xm and 2x m. The height h m is h m. The volume of the tank is V m³ and the volume is fixed. Let S m² denote the internal surface x m area of the tank. 2x m niboo ta a Find S in terms of: brooo baoos i x and h ii V and x g bwi on ter doud no b State the maximal domain for the function defined by the rule in part a ii. c If 2 < x < 15, find the maximum value of S if V = 1000 m³.
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