And and why is this concave upwards?

We know it's concave upwards.

So you have concave, and you have convex.

It looks like this side has been caved in.

Now, in concave downwards, the slope is decreasing.

So, for example, this is a concave quadrilateral

I want to show you what concave downwards looks like.

In 1876 a French engineer, A. Mangin, invented what has come to be called the Mangin mirror, a concave glass reflector with the silver surface on the rear side of the glass.

This point right here, where we go from concave downwards to concave upwards, and it would actually be true if it was the other way around, this is called an inflection point.

It has to go from being negative in a concave downward to positive in concave upwards, or it has to go from positive in concave upwards to negative in concave downwards.

And similarly, you know that it's concave upwards when the second derivative is positive.

And we know that we're dealing with, the function is concave upwards at this point.

The grinding of the surface of the book with the grinding of the table.

And one way to define concave quadrilaterals, so let me draw it a little bit bigger, so this right over here is a concave quadrilateral, is that it has an interior angle, it has an interior angle that is larger than 180 degrees.

So a very simple way to think about it is that concave upwards is kind of a U shape.

Anya to paint a deck.

Bill to paint a deck.

So that tells us that not only are we monotonically decreasing as we approach 3, but we're concave upwards.

The surface of Ariel is generally neutral in color.

So what did we say about concave upwards? concave upwards is when the slope is increasing, which means that the rate of change of the slope is positive.

Surface of revolution

Surface of Revolution

Iso Surface

surface of revolution

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fortunately, the graph of the thing, the plot of all the points that

the weak point here.

Plus 1 B decks per hour.

A moon landing is the arrival of a spacecraft on the surface of the Moon.

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So that's one plane right there, and then I had another completely parallel plane to that one.

Think of the surface of a sphere just like a beach ball, the surface of the Earth.

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