A container with a square base (Fig Q3) of size 5 m × 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 – 2)² + 6 Sm 5m Fig Q3: domain of container a) determine the total volume of sand. Answer in m³ to 3 decimal place accuracy.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter24: Percent Practical Applications
Section: Chapter Questions
Problem 35A
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A container with a square base (Fig Q3) of size 5 m × 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 – 2)? + 6
5m
5m
Fig Q3: domain of container
a)
determine the total volume of sand. Answer in m³ to 3 decimal place accuracy.
Transcribed Image Text:A container with a square base (Fig Q3) of size 5 m × 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 – 2)? + 6 5m 5m Fig Q3: domain of container a) determine the total volume of sand. Answer in m³ to 3 decimal place accuracy.
b)
find the expression for the partial derivative Oh
c)
find the expression for the partial derivative
dy
Transcribed Image Text:b) find the expression for the partial derivative Oh c) find the expression for the partial derivative dy
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