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Find two positive numbers whose product is $ 100 $ and whose sum is a minimum.

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02:16

Tao Ju

Calculus 1 / AB

Calculus 2 / BC

Chapter 4

Applications of Differentiation

Section 7

Optimization Problems

Derivatives

Differentiation

Volume

Henry C.

November 4, 2021

what is the interval

Oregon State University

Harvey Mudd College

Baylor University

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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two numbers whose product? Just 100 pretty straightforward x times wise 100 and then acts plus y on them together gives us our minimum. Right? Okay, No, we know that we can write this as acts equals 100. Divided by why, Right? Because we're taking this first equation over here writing this simply in terms of X. Now we know writing this in terms of a singular variable 100 over Why Post, why is our minimum take? The derivative derivative of Y is simply one said equal to zero because we know the minimum value would be like the constant we end up with. Why is ton therefore X is also 10 times 10 times 10 is 100.

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