Draw pictures (in R^3) of the following:
1. z = f(x,y) = 4 - x^2 - y^2
2. Let F(x,y,z) = x^2 - y. Draw the level surface F = 1.
3. The intersection of the surfaces given by x^2 + y^2 = 4 and y^2 + z^2 = 4.
I've been looking in my calculus book (early transcendentals by Stewart) but haven't found much help. I have a TI-89 and was able to find the graph of the first one, but not sure if it's correct or not. The first one kind of looks like a spider web in the shape of a bowl. Can anyone verify that, or help with the rest?
1. z = f(x,y) = 4 - x^2 - y^2
2. Let F(x,y,z) = x^2 - y. Draw the level surface F = 1.
3. The intersection of the surfaces given by x^2 + y^2 = 4 and y^2 + z^2 = 4.
I've been looking in my calculus book (early transcendentals by Stewart) but haven't found much help. I have a TI-89 and was able to find the graph of the first one, but not sure if it's correct or not. The first one kind of looks like a spider web in the shape of a bowl. Can anyone verify that, or help with the rest?
That's easy stuffs
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