A container with a square base (Fig Q3) of size 5 m x 5 m is filled with sand. The sand is uneven whereby the surface height, in metres, measured from the bottom of the container, is given by the function: h(x, y) = -0.01(x - 1)² + 7 Sm Sm Fig Q3: domain of container

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section: Chapter Questions
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a)
determine the total volume of sand. Answer in m' to 3 decimal place accuracy.
b)
find the expression for the partial derivative oh
c)
dh
find the expression for the partial derivative
dy
Transcribed Image Text:a) determine the total volume of sand. Answer in m' to 3 decimal place accuracy. b) find the expression for the partial derivative oh c) dh find the expression for the partial derivative dy
A container with a square base (Fig Q3) of size 5 m x 5 m is filled with sand.
The sand is uneven whereby the surface height, in metres, measured from the bottom
of the container, is given by the function:
h(x, y) = -0.01(x - 1)2 + 7
Sm
Sm
Fig Q3: domain of container
Transcribed Image Text:A container with a square base (Fig Q3) of size 5 m x 5 m is filled with sand. The sand is uneven whereby the surface height, in metres, measured from the bottom of the container, is given by the function: h(x, y) = -0.01(x - 1)2 + 7 Sm Sm Fig Q3: domain of container
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