Examples of using Xy squared in English and their translations into Thai
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Colloquial
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Ecclesiastic
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Ecclesiastic
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Computer
So you get xy squared.
Our capital F of xy must be equal to x to the 3 over 3 plus xy squared.
And we have xy squared, xy squared.
So what's the antiderivative of xy squared?
The antiderivative of xy squared-- I want to make sure I'm color consistent.
This is z equals xy squared.
On this one we have xy squared here, we have an xy squared there.
So it's equal to 3x squared y plus xy squared.
So minus xy squared, and then we're going to have all of that; that's the magnitude in our i-direction.
And it equals xy squared.
And then we get that capital F of xy is equal to x to the third over 3 plus xy squared.
So we take xy squared, multiply it by dy, and then if we want this entire area we integrate it from y is equal to 0 to y is equal to 1.
So let's say that's our surface: z is equal to xy squared.
Then here it's xy squared, z-- I should written all of this bigger--and then the third column, the z component is cosine of x times cosine of y.
And if x is just a number there, the antiderivative of this with respect to y is just going to be xy squared.
In the last a video we figured out the volume between this surface, which was xy squared and the xy-plane when x went from 0 to 2 and y went from 0 to 1.
To figure out that area we could take a dy, a change in y, multiply it by the height, which is xy squared.
So the partial with respect to x of this, sorry, we take out it's row and column, so xy squared, z minus the partial with respect to y of this.
So the double integral is going to be from x is equal to square root of y to x is equal to 1, xy squared, dx, dy.
So the area of each of these is going to be our function, xy squared-- I will do it here because I will run out of space. xy squared times the width, which is dx.
So the antiderivative of this with respect to y-- so we get f of xy-- would be equal to xy squared plus some function of x.
So see, if you multiply this term by x, you get 3x squared y plus xy squared, we're multiplying these terms by x now, plus x to the third plus x squared y, y prime is equal to 0.
So for fun, we can just spin this graph and just appreciate the fact that we have figured out the volume between this surface, xy squared and the xy-plane.
Well, we just said, we could kind of view this function up here as z is equal to xy squared because that's exactly what it is.
So it's going to be the partial with respect to y of cosine x, cosine y minus the partial with respect to z times xy squared, z-- and now we're on to our j component--plus j.
That equals mu prime of x times x squared plus xy.
So mu prime of x times a second expression, x squared plus xy, plus just the first expression.
So I get mu of x times 3xy plus y squared plus mu of x times x squared plus xy times y prime.