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2 years ago

Can you plz help me real quick I want good grades so I don't disappoint

Mathematics

1 answer:

Goshia [24]2 years ago

4 0

Answer:

x= 6

∠FGT = 55

∠GFE = 65

Step-by-step explanation:

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Find the qoutient of 1170 and 45

MissTica

Quotient is another word for divide
1170/45
the answer is 26

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3 years ago

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What is the relationship between the ratios? 48 72 and 6 9 Drag and drop to complete the statement. The ratios are . proportiona

3241004551 [841]

You mean 6 9 or 69 ....

4 0

3 years ago

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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

Interest paid on £2500 at an interest at an interest rate of 15%

postnew [5]

Answer:

£375

Step-by-step explanation:

Amount = £2500
Interest rate = 15%

Interest

£2500*15/100 = £375

8 0

2 years ago

Which problem is modeled on the number line? 3+(-6) -3+(6) 3+6 -3+6

kramer

Answer:3+(-6)

Step-by-step explanation:

5 0

2 years ago

Can you plz help me real quick I want good grades so I don't disappoint ​

Can you plz help me real quick I want good grades so I don't disappoint