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BARSIC [14]
3 years ago
5

Draw 8 lines that are between 1 inch and 3 inches long. Measure each line to the nearest fourth inch, and make a line plot

Mathematics
2 answers:
Luba_88 [7]3 years ago
8 0
A line plot is graph that shows frequency of data along a line. Example after you cut the lines measure and put in a line how many was 1 inch ' how many was 1 1/2 and so on. Hope this helps
hammer [34]3 years ago
3 0
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In this problem, x = c1 cos t + c2 sin t is a two-parameter family of solutions of the second-order de x'' + x = 0. find a solut
nordsb [41]

If you are already given the general solution, finding the particular solution means to impose some conditions in order to fix the coefficients of the general solution.

The first thing we need to impose is that the function must output -1 when the input is zero. So, if we plug zero as input we have

x(t) = c_1 \cos(t) + c_2 \sin(t) \implies x(0) = c_1 \cos(0) + c_2 \sin(0) = c_1

But we want x(0)=-1, which implies x(0)=c_1=-1

So, we fixed the first coefficient. To fix the second one, we can use the second piece of information (and of course the already-found value for c_1).

We want the first derivative to output 3 when the input is zero. So, first of all, let's compute the first derivative, and evaluate it in zero:

x(t) = -\cos(t) + c_2 \sin(t) \implies x'(t) = \sin(t) + c_2\cos(t)

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So, once we fix both coefficients, the general solution becomes

x(t) = c_1 \cos(t) + c_2 \sin(t) \mapsto -\cos(t)+3\sin(t)

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