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mestny [16]
3 years ago
14

Evaluate the expression for the given value of x.−4x + 7 for x = −4

Mathematics
2 answers:
docker41 [41]3 years ago
5 0

Answer:

23

Step-by-step explanation:

-4x+7

-4(-4)+7=16+7=23

solmaris [256]3 years ago
5 0

Answer:

23

Step-by-step explanation:

-4x + 7 =

-4(-4) + 7 =

16 + 7 = 23

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3y''-6y'+6y=e*x sexcx
Simora [160]
From the homogeneous part of the ODE, we can get two fundamental solutions. The characteristic equation is

3r^2-6r+6=0\iff r^2-2r+2=0

which has roots at r=1\pm i. This admits the two fundamental solutions

y_1=e^x\cos x
y_2=e^x\sin x

The particular solution is easiest to obtain via variation of parameters. We're looking for a solution of the form

y_p=u_1y_1+u_2y_2

where

u_1=-\displaystyle\frac13\int\frac{y_2e^x\sec x}{W(y_1,y_2)}\,\mathrm dx
u_2=\displaystyle\frac13\int\frac{y_1e^x\sec x}{W(y_1,y_2)}\,\mathrm dx

and W(y_1,y_2) is the Wronskian of the fundamental solutions. We have

W(e^x\cos x,e^x\sin x)=\begin{vmatrix}e^x\cos x&e^x\sin x\\e^x(\cos x-\sin x)&e^x(\cos x+\sin x)\end{vmatrix}=e^{2x}

and so

u_1=-\displaystyle\frac13\int\frac{e^{2x}\sin x\sec x}{e^{2x}}\,\mathrm dx=-\int\tan x\,\mathrm dx
u_1=\dfrac13\ln|\cos x|

u_2=\displaystyle\frac13\int\frac{e^{2x}\cos x\sec x}{e^{2x}}\,\mathrm dx=\int\mathrm dx
u_2=\dfrac13x

Therefore the particular solution is

y_p=\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x

so that the general solution to the ODE is

y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x
7 0
3 years ago
What is the lcm lcm of 8,9 and 10​
vivado [14]

Answer:

360

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Jada measured the height of a plant in a science experiment and finds that, to the nearest 1/4 of an inch, it is 4 3/4 inches.
Natalka [10]

Answer:

I dont know

Step-by-step explanation:

sorrryy

5 0
3 years ago
Read 2 more answers
Which symbol correctly compares these fractions? 3 7 ___ 5 14 < > = ×
GarryVolchara [31]
\frac{3}{7} is more than \frac{5}{14}, because:
\frac{3}{7}=\frac{6}{14}
6>5

So, the correct sign for this is >.
Have a great day! ♪
7 0
3 years ago
What is the value of x?<br> 26°<br> x =<br> = [?]
OlgaM077 [116]

Answer:

<h2><u>154°</u></h2>

Step-by-step explanation:

The central angle and the angle between the tangents are supplementary, so

x + 26° = 180° ( subtract 26° from both sides )

26 - 26 = 0

180 - 26 = <u>154</u>

x = <u>154°</u>

6 0
3 years ago
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