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3 years ago

What is the quotient? 1462 ÷ 58 Enter your answer as a mixed number in the simplest form in the box.

Mathematics

2 answers:

Nutka1998 [239]3 years ago

8 0

25.2 is your answer to the equation

QveST [7]3 years ago

7 0

25.2 is the correct answer can i be brainliest

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If S=4πr^2 , find the value of S when r = 10 whole1/2. *

Anestetic [448]

Answer:

Step-by-step explanation:R=14

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3 years ago

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How to find the area of a triangle with a base of 4 1/2 and a height of 2 2/3

Kryger [21]

Answer:

Step-by-step explanation:

The formula for the area of a triangle is 1/2(bh).

4 1/2=9/2, 2 2/3= 8/3

9/2x8/3=72/6,

12. However, you still have to divide by two, which gets you 6

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2 years ago

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Evaulate<br> -7(5+3)-|-6|

s2008m [1.1K]

-7(8)-|-6|
-56-6 = -62

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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

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

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1 year ago

A hotel staff would like to create a circular flower bed for the hotel’s entrance. The flower bed will be enclosed by a border.

kiruha [24]

In order to solve this equation, first we must find the area of the entire circle and then we must find the area that the people like to plant with flowers. So the angle formed between 2 rock paths is 180 degrees. I am hoping that this answer has satisfied your query about this specific question.

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3 years ago

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