Functions of Several Variables flashcards
10 practice cards drawn from the Functions of Several Variables lessons. Tap a card to turn it over. Every answer is checked against the lesson it came from.
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If f(x, y) = x + y, what is f(2, 3)?
5
from “Functions of Two Variables”
If f(x, y) = x + y, what is f(3, 1)?
4
from “Functions of Two Variables”
is shaped like a
saddle
from “Surfaces in Three Dimensions”
is shaped like a
bowl
from “Surfaces in Three Dimensions”
The level curve of at z = 16 is a circle. What is its radius?
4
from “Level Curves”
The level curve of at z = 36 is a circle. What is its radius?
6
from “Level Curves”
Two paths give different values. Does the limit exist?
no
from “Limits of Functions of Two Variables”
Every path you have tried gives 3. Does that prove the limit is 3?
no
from “Limits of Functions of Two Variables”
No limit exists at the point. Is f continuous there?
no
from “Continuity in Two Variables”
The limit is 5 but f(1, 2) is 9. Is f continuous there?
no
from “Continuity in Two Variables”