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(a) Find an equation for the family of linear functions with slope 2 and sketch several members of the family.(b) Find an equation for the family of linear functions such that $ f(2) = 1 $ and sketch several members of the family.(c) Which function belongs to both families?
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Calculus 1 / AB
Calculus 2 / BC
Calculus 3
Chapter 1
Functions and Models
Section 2
Mathematical Models: A Catalog of Essential Functions
Functions
Integration Techniques
Partial Derivatives
Functions of Several Variables
Harvey Mudd College
Baylor University
University of Nottingham
Idaho State University
Lectures
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A multivariate function is a function whose value depends on several variables. In contrast, a univariate function is a function whose value depends on only one variable. A multivariate function is also called a multivariate expression, a multivariate polynomial, a multivariate series, or a multivariate function of several variables.
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In calculus, partial derivatives are derivatives of a function with respect to one or more of its arguments, where the other arguments are treated as constants. Partial derivatives contrast with total derivatives, which are derivatives of the total function with respect to all of its arguments.
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