Answer:An initial condition is an extra bit of information about a differential equation that tells you the value of the function at a particular point. Differential equations with initial conditions are commonly called initial value problems.
The video above uses the example
{
d
y
d
x
=
cos
(
x
)
y
(
0
)
=
−
1
to illustrate a simple initial value problem. Solving the differential equation without the initial condition gives you
y
=
sin
(
x
)
+
C
.
Once you get the general solution, you can use the initial value to find a particular solution which satisfies the problem. In this case, plugging in
0
for
x
and
−
1
for
y
gives us
−
1
=
C
, meaning that the particular solution must be
y
=
sin
(
x
)
−
1
.
So the general way to solve initial value problems is: - First, find the general solution while ignoring the initial condition. - Then, use the initial condition to plug in values and find a particular solution.
Two additional things to keep in mind: First, the initial value doesn't necessarily have to just be
y
-values. Higher-order equations might have an initial value for both
y
and
y
′
, for example.
Second, an initial value problem doesn't always have a unique solution. It's possible for an initial value problem to have multiple solutions, or even no solution at all.
Explanation:
Answer:
Keep Source Formatting & Embed Workbook
Explanation:
Source formatting is used to apply the formatting from source document while copying and pasting.
Source is the place where the data is already placed and we want to move it make a copy of it on some other document. So if we don't want to change the formatting of source document, we choose source formatting from the options while pasting.
Embed is used to whenever we don't want to link the formatting with source document.
So,
You use the Paste Options button labeled <u><em>Keep Source Formatting & Embed Workbook</em></u><em> </em>if you want the pasted chart not to be linked to the source document and you want the pasted chart to keep the formatting from the source document.
Answer:
Number 2 Polygonal lasso tool
Explanation:
The correct answer is letter b
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