Finding functions from partial derivatives Suppose that ƒ

Chapter , Problem 17AAE

(choose chapter or problem)

Finding functions from partial derivatives Suppose that $f$ and $g$ are functions of $x$ and $y$ such that

$\frac{\partial f}{\partial y}=\frac{\partial g}{\partial x} \quad \text { and } \quad \frac{\partial f}{\partial x}=\frac{\partial g}{\partial y}$

and suppose that

$\frac{\partial f}{\partial x}=0, \quad f(1,2)=g(1,2)=5 \quad \text { and } \quad f(0,0)=4$

Find $f(x, y) \text { and } g(x, y)$.

Equation Transcription:

$\frac{\partial{}f}{\partial{}y}=\frac{\partial{}g}{\partial{}x}\ \ \ and\ \ \ \frac{\partial{}f}{\partial{}x}=\frac{\partial{}g}{\partial{}y}$

$\frac{\partial{}f}{\partial{}x}=0,\ \ \ \ \ f(1,\ 2)=g(1,\ 2)=5\ \ \ \ and\ \ \ \ f(0,\ 0)=4$

$f(x,\ y)\ \ and\ \ g(x,\ y)$

Text Transcription:

partial f/partial y = partial g/ partial x and partial f/ partial x = partial g /partial y

partial f /partial x =0, f(1, 2)=g(1, 2)=5 and f(0, 0)=4

f(x, y) and g(x, y)

Unfortunately, we don't have that question answered yet. But you can get it answered in just 5 hours by Logging in or Becoming a subscriber.

Login