b) find the expression of the partial derivative sigma (h)/ sigma (x)  c) find the expression for the partial derivative sigma (h)/ sigma (y)

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...
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part a)provided,

 b) find the expression of the partial derivative sigma (h)/ sigma (x) 

c) find the expression for the partial derivative sigma (h)/ sigma (y)

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) = −0.1(x − 1)² +6
5m
y
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) = −0.1(x − 1)² +6 5m y Fig Q3: domain of container
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) = −0.1(x − 1)² +6
5m
y
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) = −0.1(x − 1)² +6 5m y Fig Q3: domain of container
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you did not solve part A :determine the total volume of sand. Answer in m3�3 to  3 decimal place accuracy.

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