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Find an equation of the slant asymptote. Do not sketch the curve.
$ y = \dfrac{-6x^4 + 2x^3 + 3}{2x^3 - x} $
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Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 5
Summary of Curve Sketching
Derivatives
Differentiation
Volume
Campbell University
University of Nottingham
Idaho State University
Lectures
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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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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.
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Find an equation of the sl…
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Use the guidelines of this…
So, um, to find the slant ass. Until for this one, we're going to do polynomial division. So, um, how many times can to x cube go into negative six x to the fourth? So we're gonna do minus three x. So minus three X sometimes two x to the third. Normally would be, ah, negative. Six extra before they were gonna changes. Sign for everything in this row so that we can cancel out the first term. So plus six x to the fourth next term, a minus three x squared. Okay, so now we're gonna cancel the first term, and we're gonna be left with, um two x cubed a minus three x squared, plus three. Don't forget to drop the three. Next we have How many times can to x cubed going to two x cubed exactly once. Um, so one times two x cubed. And then remember, change science. So minus two x cubed plus X. So cancels out the first term. And then we're left with minus three x squared plus X plus three as our remainder. And we know so remainder because the power of two x cubed is larger. Um, the power of two x cubed is larger than the power of negative three x two second power. Okay, so this is our quotient. And it is also our slant ass into So why equals minus three x post one? Is this land as in two for this function?
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