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Sketch a rough graph of the number of hours of daylight as a function of the time of year.

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The graph for the number of hours of daylight as a function of time is sinusoidal with time period equal to 1 year.

01:07

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

Harvey Mudd College

University of Michigan - Ann Arbor

Boston College

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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Sketch a rough graph of th…

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Sketch a graph to represen…

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Sketch a reasonable graph …

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The number of hours of day…

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The duration of daylight f…

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Use the information given …

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The graph shows the number…

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The number of daylight hou…

all right, so we want to make a graph that represents the hours of daylight over the course of a year. And, of course, it depends on your location. But if you take a typical place in the United States, chances are that in the winter will say that month zero is month, December, perhaps in the winter. We've got the lowest amount of daylight, and then we'll say in the summer, which would be around month, June se months. Six. We would have the highest amount of daylight. And then by the time we get back to month 12 December again, we've got the lowest amount of daylight again. And what's happening over the course of the year is that it is steadily growing and shrinking, so we don't have sharp turns here. We have smoothed curves, so it's gonna look something like this, and that looks like a sign curve or a co sign curve. Some kind of sign you soil curve, we call it or periodic curve

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