
Let

The curl is

where
denotes the partial derivative operator with respect to
. Recall that



and that for any two vectors
and
,
, and
.
The cross product reduces to

When you compute the partial derivatives, you'll find that all the components reduce to 0 and

which means
is indeed conservative and we can find
.
Integrate both sides of

with respect to
and

Differentiate both sides with respect to
and




Now

and differentiating with respect to
gives




for some constant
. So

Answer:
h=12 A=144 sq. cm.
Step-by-step explanation:
pythagoream therom:
9^2+h^2=15^2
81+h^2=225
h^2=225-81
h^2=144
Sq. rt h^2=sq. rt 144
h=12cm
1/2(b1+b2)h
1/2(5+19)12
1/2(24)12
1/2(288)
a=144
Note that [ (2x)^x ]^(1/x) = 2x, and that [ (2x)^(2x) ]^(1/x) = (2x)^2 = 4x^2
Multiplying these 2 results together, we get (2x)(4x^2) = 8x^3 (answer)
<span>284
Hope this helps. c:</span>
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