Homework Help is Here – Start Your Trial Now!
Math
Calculus
x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square base and no top. The square base is of length x metres and its height is h metres. It is given that the volume of the tank is 500m³. (a) The surface area of the tank is given by A= A = x² + (1000/x) A = x² (2000/x) A = x² + (2000/x) A = x² - (1000/x) (b) Find the value of x for which A is stationary. Put your value of x as a whole number. (c) Find the nature of the Area A at the given point X.

x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square base and no top. The square base is of length x metres and its height is h metres. It is given that the volume of the tank is 500m³. (a) The surface area of the tank is given by A= A = x² + (1000/x) A = x² (2000/x) A = x² + (2000/x) A = x² - (1000/x) (b) Find the value of x for which A is stationary. Put your value of x as a whole number. (c) Find the nature of the Area A at the given point X.

Calculus: Early Transcendentals
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...
See similar textbooks
icon
Related questions
Question
x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square base and no top. The square base is of length x metres and its height is h metres. It is given that the volume of the tank is 500m³. (a) The surface area of the tank is given by A= A = x² + (1000/x) A = x² (2000/x) A = x² + (2000/x) A = x² - (1000/x) (b) Find the value of x for which A is stationary. Put your value of x as a whole number. (c) Find the nature of the Area A at the given point X.
Transcribed Image Text:x x h The figure above shows the design of a large water tank in the shape of a cuboid with a square base and no top. The square base is of length x metres and its height is h metres. It is given that the volume of the tank is 500m³. (a) The surface area of the tank is given by A= A = x² + (1000/x) A = x² (2000/x) A = x² + (2000/x) A = x² - (1000/x) (b) Find the value of x for which A is stationary. Put your value of x as a whole number. (c) Find the nature of the Area A at the given point X.
Expert Solution
steps

Step by step

Solved in 1 steps with 2 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS