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3 years ago

7

C=50+12h how can i solve this

1 answer:

GalinKa [24]3 years ago

7 0

What exactly are u solving for c or h?

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In what form can a linear equation in x and y be written in?

Sati [7]

Answer:

Slope-Intercept Form of a Line (y = mx + b)

Step-by-step explanation:

The slope-intercept is the most “popular” form of a straight line. Many students find this useful because of its simplicity. One can easily describe the characteristics of the straight line even without seeing its graph because the slope and y-intercept can easily be identified or read off from this form.

6 0

3 years ago

Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x

djverab [1.8K]

I'll assume the ODE is

$y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}$

Solve the homogeneous ODE,

$y'' - 3y' + 2y = 0$

The characteristic equation

$r^2 - 3r + 2 = (r - 1) (r - 2) = 0$

has roots at $r=1$ and $r=2$ . Then the characteristic solution is

$y = C_1 e^x + C_2 e^{2x}$

For nonhomogeneous ODE (1),

$y'' - 3y' + 2y = e^x$

consider the ansatz particular solution

$y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x$

Substituting this into (1) gives

$a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1$

For the nonhomogeneous ODE (2),

$y'' - 3y' + 2y = e^{2x}$

take the ansatz

$y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}$

Substitute (2) into the ODE to get

$b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1$

Lastly, for the nonhomogeneous ODE (3)

$y'' - 3y' + 2y = e^{-x}$

take the ansatz

$y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}$

and solve for $c$ .

$ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16$

Then the general solution to the ODE is

$\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}$

6 0

1 year ago

Write the slope-intercept form of the given line. Include your work in your final answer.

IRINA_888 [86]

Answer:

y = -1.5x - 3

Step-by-step explanation:

The slope-intercept form of a line is y = mx + c where m is the slope of the line and c is the y-intercept of the line.

To find the slope of a line, you need to find the $\frac{rise}{run}$ between two of the points. I will be using the points (-2, 0) and (0, -3).

$\frac{rise}{run}$ = $\frac{-3-0}{0-(-2)}$

= $\frac{-3}{2}$

= -1.5

Now based on the graph, we see that the y-intercept is -3. Thus, the entire equation of the given line is: y = -1.5x - 3

3 0

3 years ago

Read 2 more answers

Write the number in scientific notation.<br> 1,920,000

LUCKY_DIMON [66]

The answer is 1.92 x 10^6

5 0

3 years ago

. Yesterday you wanted to make an enormous batch of rolls, so you borrowed some special yeast from your aunt's top-secret bread

Cloud [144]

Answer:

at 6:06

Step-by-step explanation:

since it took 13 to be half full just add an extra 13 minutes. 5:53+ 13 minutes= 6:06

8 0

3 years ago