A roulette wheel is constructed so that the numbers can fall from 1 to 10 and the probability of falling a number (k + 1) is 2 t
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Looks like we're given
which in three dimensions could be expressed as
and this has curl
which confirms the two-dimensional curl is 0.
It also looks like the region is the disk
. Green's theorem says the integral of
along the boundary of
is equal to the integral of the two-dimensional curl of
over the interior of
:
which we know to be 0, since the curl itself is 0. To verify this, we can parameterize the boundary of by
with . Then
Given:
The graph of a function.
To find:
The zeros of this function on the graph.
Solution:
We know that, zeros are the values at which the values of the function is 0. It means, the points where the graph of function intersect the x-axis are know as zeros of the function.
From the given graph it is clear that, the graph intersect the x-axis at two points.
Therefore, the marked points on the below graph are the zeros of the function.
