е. f (x, у) %3D х2 + у f. f(x,у) %3D ух2 + у =

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 21CR
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Remember that a level curve of some function f(x,y) is simply a set of points in the (x,y) plane where
the function takes the same value.
For each of the functions from problem 2, calculate the slope of the level curve that passes
through any given point. (i.e. the slope will generally be a function of the two coordinates
given).
In each case, examine whether level curves are upward sloping or downward sloping.
You can assume that both variables take only non-negative values.
Transcribed Image Text:Remember that a level curve of some function f(x,y) is simply a set of points in the (x,y) plane where the function takes the same value. For each of the functions from problem 2, calculate the slope of the level curve that passes through any given point. (i.e. the slope will generally be a function of the two coordinates given). In each case, examine whether level curves are upward sloping or downward sloping. You can assume that both variables take only non-negative values.
е.
f(x, y) = x² + y
f. f(x,y) = Vx² + y
Transcribed Image Text:е. f(x, y) = x² + y f. f(x,y) = Vx² + y
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