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(Solved): 3. Calculate the gradient of the following Cartesian scalar fields: (9 pts) (a) f(x,y)=x2+y3 ...
3. Calculate the gradient of the following Cartesian scalar fields: (9 pts) (a)
f
(
x
,
y
)
=
x
2
+
y
3
?
2
x
y
(b)
g
(
x
,
y
,
z
)
=
x
+
5
y
+
4
y
z
2
(c)
h
(
x
,
y
,
z
)
=
e
?
x
?
z
x
?
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(a) f(x,y)=x2+y3+2xyTo find : ?f(x,y)We know,?f(x,y
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