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Find $ f $.
$ f"(x) = -2 + 12x - 12x^2 $, $ \quad f(0) = 4 $, $ \quad f'(0) = 12 $
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01:54
Wen Zheng
01:12
Amrita Bhasin
Calculus 1 / AB
Calculus 2 / BC
Chapter 4
Applications of Differentiation
Section 9
Antiderivatives
Derivatives
Differentiation
Volume
Missouri State University
Campbell University
Boston College
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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For this problem, what we have is F double prime of X. Yeah. Is equal to negative two plus 12 X -12 x squared. So when we find a crime affect you see that this is going to be equal to a negative two acts Plus six x squared minus for x cube class C. But we know that F prime of zero is 12. That means that F prime of zero C is going to be 12. Then we take the uh 100 that that's the U. S. And negative X squared plus to act cube minus X to the fourth plus 12 X plus some other constant. But we know that F of zero is four. So based on that, we know that this is plus four final answer.
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