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3 years ago

12

the scale on the map of Virginia shows that 1 inch represents 30 miles.the actual distance from rochmond Virginia to Washington

dc is 110 miles how many inches are between the two cities

1 answer:

Setler [38]3 years ago

3 0

the answer is 3 and 2/3 of an inch

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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

$y=C_1e^x\cos x+C_2e^x\sin x+\dfrac13e^x\cos x\ln|\cos x|+\dfrac13xe^x\sin x$

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3 years ago

PLEASE HELP I WILL GIVE BRAINIEST!

marshall27 [118]

The distance is (0, 1.3)

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A headache medicine has a flush rate of 25% after 24hrs since a patient took it. James was prescribed a 35mg dose of the medicin

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James will need 115.08mg of medicine at the start of day 6.

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3 years ago

Can someone please help me with this question? The topic is Connecting Models and Symbols. I don't know how to draw a model with

svlad2 [7]

Answer:

The number 690 is called the numerator or dividend, and the number 8 is called the denominator or divisor. The quotient of 690 and 8, the ratio of 690 and 8.

Step-by-step explanation:

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3 years ago

Read 2 more answers

Suppose f(x) =x^2 and g (x) = 2x -3 what is the value of g (4)+f(-3)

Alona [7]

Answer:

d

Step-by-step explanation:

u just have to plug in the numbers

f(-3)= -3^2

f(-3)= 9

g(4)=2(4)-3

g(4)=5

9+5=14

I hope I'm right and hope I helped:)

6 0

3 years ago