Which of the following equations is paralllel to the line y+3x+1 and passes through the point (6,-3)
1 answer:
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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:
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.
Step-by-step explanation:
The period of a sinusiodal wave is given by the length of x axis which covers one full cycle of the wave, which one positive half-cycle and one negative half cycle.
From the graph we can see that one of the cycles starts at -3.14 / 4 and ends at 3.14 3/4.
Therefore we can sutract the start point value from the end point value to get the period
Therefore period = (3.14 3/4) - (-3.14 / 4) = (3.14
3/4) + (3.14 / 4) = 3.14
Therefore the period of the sinusoidal wave = 3.14.
The amplitude of the function = 2.