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3 years ago

Choose the expression that is equivalent to the expression

Mathematics

1 answer:

nadezda [96]3 years ago

4 0

Answer:

A. n

Step-by-step explanation:

n/4 + n/4 + n/4 + n/4 = 4n/4 = n

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What happened as a result of the fall of the Western Roman Empire?

Grace [21]

Answer:

Step-by-step explanation:

7 0

3 years ago

Solve the differential equation by variation of parameters.<br><br> y''+y=secx

suter [353]

Answer:y=

Acosx+Bsinx +cosx ln(cosx)+x sinx

Step-by-step explanation:

given equation y''+y=secx

auxiliary equation

$p^2+1=0\\p=\pm i$

so CF is y=Acosx+Bsinx

now

$y_1(x)=cosx \ \ \ \ y_2(x)=sinx\\{y_1}'(x)=-sinx \ \ \ \ {y_2}'(x)=cosx$

using wronskian formula

$W=\begin{vmatrix}cosx &sinx \\ -sinx & cosx\end{vmatrix}$

= $cos^2x+sin^2x=1$

now f(x)=secx

$u=-\int \frac{f(x)y_2(x)}{W(x)}dx \ and \ v=\int \frac{f(x)y_1(x)}{W(x)}dx$

$u=-\int \frac{secx\times sinx}{1}dx \ and \ v=\int \frac{secx\times cosx}{1}dx$

$u=-\int tanx dx \ and \ v=\int {1}dx$

$u=ln(cosx) \ \ \ and \ \ v=x$

now particular integrals are

PI=cosx ln(cosx)+x sinx

total solution

y= C.F+P.I

y=Acosx+Bsinx +cosx ln(cosx)+x sinx

8 0

3 years ago

The octal system uses base 8. the only available digits would be 0, 1, 2, 3, 4, 5, 6, and 7. if the value 2468 is converted to d

marysya [2.9K]

Your description and expansion suggest you want to evaluate
.. 246₈ = 2*8² +4*8¹ +6*8⁰
.. = 2*64 +4*8 +6
.. = 166

5 0

3 years ago

........................answer

Nataly [62]

Answer:

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

Graph this function: y–3= – (x+10) <br> Click to select points on the graph.

Nikolay [14]

Answer:

See below

Step-by-step explanation:

We can simply use a graphing calculator to graph the function

$\boxed{y-3 = -(x+10)}$

See in the attached file!

7 0

3 years ago