9.

Mathematics

1 answer:

alex41 [277]3 years ago

7 0

Answer: B. c = 16d + 18

I'm gonna go with c = 16d + 18

Step-by-step explanation: letter B or letter D

Answer

5.0/5

Brainly User

Days : 1 2 3 4 →→→→→→D(X axis)

Rent a Truck: 34 50 66 82→→→→→→R(Y axis)

As you can observe from number of Days and Amount to rent a truck , if you rent for a day the price being $ 34 and with increase in Day the rent increases by $ 16.

Plotting the point on graph , found that these points are collinear.

So, we can Represent this relation between days and Rent in equation of two variables representing a line.

Two point formula of line:

→→Equation of line passing through two points

So , line representing Days and rent is :

So, the rule representing Days and Rent is: 16 D - R + 18=0

...............................................................................................................................................

The answer is 18

If you subtract 47-29=18

Then if you subtract 47-65=18 the pattern is to add 18

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Brut [27]

I think the answer is 4 1/4

5 0

3 years ago

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

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