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ivann1987 [24]
3 years ago
7

Simplify the expression given below.

Mathematics
1 answer:
Nikitich [7]3 years ago
4 0
I don’t see a expression...
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Consider the differential equation 4y'' â 4y' + y = 0; ex/2, xex/2. Verify that the functions ex/2 and xex/2 form a fundamental
Kazeer [188]

Check the Wronskian determinant:

W(e^{x/2},xe^{x/2})=\begin{vmatrix}e^{x/2}&xe^{x/2}\\\frac12e^{x/2}&\left(1+\frac x2\right)e^{x/2}\end{vmatrix}=\left(1+\frac x2\right)e^x-\frac x2e^x=e^x\neq0

The determinant is not zero, so the solutions are indeed linearly independent.

7 0
3 years ago
Help me plss need help with theses three
fiasKO [112]
interior angle of a regular 18-gon.
It is easier to calculate the exterior angle of a regular polygon of n-sides (n-gon) by the relation
exterior angle = 360/n
For a 18-gon, n=18, so exterior angle = 360/18=20 °
The value of each interior angle is therefore the supplement, or
Interior angle = 180-20=160 degrees.

Naming of a 9-gon
A polygon with 9 vertices is called a nonagon (in English) or enneagon (French ennéagone, but the English version is sometimes used)
You had a good start with the correct answer.

Exterior angle of a 15-gon
The exterior angle of a 15-gon can be calculated using the relation given in the first paragraph, namely
Exterior angle = 360/15=24 degrees
4 0
3 years ago
A phone was purchased for $318. Each year the value is 1/2 of its value the previous year. Write a function that describes the v
zubka84 [21]

Answer:

y=318(1-0.5)^x

Step-by-step explanation:

x represents the amount of years and y is the ending price

8 0
3 years ago
What function is graphed below?<br><br><br><br> y = 2x<br> y = x + 3<br> y = 2x + 3<br> y = 2x + 2
vagabundo [1.1K]

Answer:

y=2x+3

Step-by-step explanation:

The coefficient has to be 2, since the graph has a slope of 2, and the constant has to be 3 because the y- intercept is 3.

y=2x+3

3 0
3 years ago
Read 2 more answers
South Africa broke the world record for largest pizza in 1990. It weighed `26833` pounds
viva [34]

8,944 hope this helps

5 0
2 years ago
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