Provide notes on a real-valued function of two independent variables and three independent variables with example.
Explanation of Solution
Suppose D is a set of n-tuples of real numbers
A real-valued function f on D is a rule that assigns a real number
If f is a function of two independent variables, that is the independent variables x and y and the dependent variable z.
Example:
The dependent variable z as a function of two variables is
If f is a function of three independent variables, that is the independent variables x, y, and z and the dependent variable w.
Example:
The dependent variable w as a function of three variables is
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Chapter 14 Solutions
MyLab Math with Pearson eText -- Standalone Access Card -- Thomas' Calculus (14th Edition)