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Sketch a rough graph of the market value of a new car as a function of time for a period of 20 years. Assume the car is well maintained.

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Jeffrey Payo

Calculus 1 / AB

Calculus 2 / BC

Calculus 3

Chapter 1

Functions and Models

Section 1

Four Ways to Represent a Function

Functions

Integration Techniques

Partial Derivatives

Functions of Several Variables

Campbell University

Oregon State University

Baylor University

University of Michigan - Ann Arbor

Lectures

04:31

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.

12:15

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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VALUE OF A CAR The followi…

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After $t$ years, the value…

all right, so we start with a new car and we have its new car price when it zero years old. And then we know that in the first few years, generally the cars depreciate quickly. So we're going to have a pretty quick decline in the value of the car over the 1st 5 years, and then it's going to depreciate again more slowly and then probably not quite as quickly over the rest of the years.

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