Question

2. [-/2 Points] DETAILS Use the Chain Rule to find \frac{\partial z}{\partial s} and \frac{\partial z}{\partial t}. $z = e^{4x + 6y}$, $x = s/t$, $y = t/s$ $\frac{\partial z}{\partial s} = $ $\frac{\partial z}{\partial t} = $ 3. [-/1.6 Points] DETAILS SESSCALCET2 13.3.007. Determine whether or not F is a conservative vector field. If it is, find a function $f$ such that $F = \nabla f$. If it is not, enter NONE. $F(x, y) = (ye^x + \sin y)\mathbf{i} + (e^x + x\cos y)\mathbf{j}$ f(x, y) = + K

          2. [-/2 Points]
DETAILS
Use the Chain Rule to find \frac{\partial z}{\partial s} and \frac{\partial z}{\partial t}.
$z = e^{4x + 6y}$, $x = s/t$, $y = t/s$
$\frac{\partial z}{\partial s} = $
$\frac{\partial z}{\partial t} = $
3. [-/1.6 Points]
DETAILS
SESSCALCET2 13.3.007.
Determine whether or not F is a conservative vector field. If it is, find a function $f$ such that $F = \nabla f$. If it is not, enter NONE.
$F(x, y) = (ye^x + \sin y)\mathbf{i} + (e^x + x\cos y)\mathbf{j}$
f(x, y) =  + K

2. [-/2 Points]
DETAILS
Use the Chain Rule to find (∂z)/(∂s) and (∂z)/(∂t).
z = e^4x + 6y, x = s/t, y = t/s
(∂ z)/(∂ s) =
(∂ z)/(∂ t) =
3. [-/1.6 Points]
DETAILS
SESSCALCET2 13.3.007.
Determine whether or not F is a conservative vector field. If it is, find a function f such that F = ∇ f. If it is not, enter NONE.
F(x, y) = (ye^x + sin y)𝐢 + (e^x + xcos y)𝐣
f(x, y) = + K

Added by Nicole Y.

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