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Problem

Graph the function using as many viewing rectangl…

04:26

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Problem 23 Easy Difficulty

Graph the function using as many viewing rectangles as you need to depict the true nature of the function.

$ f(x) = \dfrac{1 - \cos(x^4)}{x^8} $


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Bobby Barnes
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Related Courses

Calculus 1 / AB

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 4

Applications of Differentiation

Section 6

Graphing with Calculus and Calculators

Related Topics

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Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

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06:14

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Video Transcript

we want to crack the function if Alexis is equal to one minus co sign of excellent one over X A using as many viewing rectangles as we need to depict the true nature of the auction. So this first graph that we have here kind of in the center is just what I got when I kind of zoom function out a little bit and we could see that around here. It looks like we have a local for some local. Max is down here. We have some local men's, so we may want to zoom into this region. A lot of it, and we can also see in these two regions hero on the side. It looks like it has this kind of periodic pattern to it that dampens as we go to infinity. And so first, let's go ahead and zoom in to Let's just do the left hand side and doing that gives us this craft here, so it kind of looks like sign or co signed. But adjusted dampens over time, and it just keeps getting closer and closer to zero. And for this middle region right here, I went ahead and zoomed into around there. And you can see that as we get closer to X is equal to zero. It just looks like it starts the oscillator a lot more and more. And then I kept trying to zoom in more and more on the graphic a clue that I have. And it really never showed what happened in this region here. So you might I want to say that nothing of interest really happens here. Maybe he goes in your negative infinity. Uh, but if you burn too, actually look at the limit as expertise a row of this it should go to one. So you had a better graphing calculator that was able to go to more precise values. It should keep getting closer and closer and get closer to 1/2. But at least a graphing calculator that I have here wasn't really showing that so. But I think these three viewing with those overall describes at least the best abilities of what I can show of the overall nature of this graph.

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Related Topics

Derivatives

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Top Calculus 2 / BC Educators
Grace He

Numerade Educator

Kristen Karbon

University of Michigan - Ann Arbor

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Joseph Lentino

Boston College

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Lectures

Video Thumbnail

04:35

Volume - Intro

In mathematics, the volume of a solid object is the amount of three-dimensional space enclosed by the boundaries of the object. The volume of a solid of revolution (such as a sphere or cylinder) is calculated by multiplying the area of the base by the height of the solid.

Video Thumbnail

06:14

Review

A review is a form of evaluation, analysis, and judgment of a body of work, such as a book, movie, album, play, software application, video game, or scientific research. Reviews may be used to assess the value of a resource, or to provide a summary of the content of the resource, or to judge the importance of the resource.

Join Course
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