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4 years ago

15

Can you answer these 2 questions please and help me with more I’ll give you more points

1 answer:

Natali5045456 [20]4 years ago

7 0

Hey the answer for the first one is B and the second one is C

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The cost of producing 4 metal units is 204.80. The cost of producing 8 units is 209.60. What is the cost to produce 12

inessss [21]

The cost of 12 units would be $614.40.

This is found by dividing $204.80 by 4 to get $51.20 (cost per single unit), then multiplying $51.20 by 12 to get $614.40 (cost for 12 units).

I hope this helps!

3 0

4 years ago

Read 2 more answers

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

2 years ago

Use the Order of Operations to simplify: 12(4 - 2) + 6(2)

3241004551 [841]

Answer:

Simplified it would be: 36

8 0

3 years ago

What is 58,000,000 in scientific notation

AleksAgata [21]

5.8*(7^10)
Hope this help

5 0

3 years ago

Read 2 more answers

Help a brother out fam

inn [45]

Answer:

16

Step-by-step explanation:

5 0

3 years ago