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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.

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter3: Polynomial Functions
Section3.5: Mathematical Modeling And Variation
Problem 7ECP: The kinetic energy E of an object varies jointly with the object’s mass m and the square of the...
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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.
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