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2 years ago

PLEASE HELP EZ MATH AND ILL GIVE BRAINLIEST

Mathematics

1 answer:

Sedbober [7]2 years ago

8 0

Answer:1.9

Step-by-step explanation:

Frank had 24.74 gallons of gasoline in his morning's vehicle. Now, there are left 1.9 gallons. How much was Frank using fuel? Frank had 24.74 gallons of gasoline this morning. Now, there are left 1.9 gallons. How much was Frank using fuel? Frank had 24.74 gallons of gasoline this morning. Now, there are left 1.9 gallons. How much was Frank using fuel? Frank had 24.74 gallons of gasoline this morning. Now, there are 1.9 gallons.

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How do you calculate the perimeter of a circle

sasho [114]

Answer:

Perimeter= πd or Perimeter= 2πr

Step-by-step explanation:

d= diameter

r = radius

3 0

2 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

Help I’ll mark brain list

Marat540 [252]

Answer:

Step-by-step explanation:

i think i hope it help

7 0

3 years ago

ДОПОМОЖІТЬ, БУДЬ ЛАСКА !!!! МАТЕМАТИКА !!!!!!!!

ivann1987 [24]

Plot a point at the Y-Intercept of -1 and Plot another point at the X-intercept of 1 and the DIGITS graphing tool should make a line from there

6 0

3 years ago

Cody was 165\,\text{cm}165cm165, space, c, m tall on the first day of school this year, which was 10\%10%10, percent taller than

earnstyle [38]

Assume that Cody was x cm tall on his first day at school last year.
Assume that Cody is y cm tall on his first day at school this year.
This year, Cody became 10% taller.
10% is equivalent to 0.1

This can be translated into the following:
y = x + 0.1x
We are given that y = 165 cm.
Substitute in the equation to get x as follows:
165 = x + 0.1x
165 = 1.1x
x = 150 cm

Based on the above calculations, Cody was 150 cm tall on his first day at school last year.

4 0

2 years ago

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