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.

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,...
icon
Related questions
Question

Please can this be solved really quick, thank you apprecite it!

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 3 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education