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elena55 [62]
3 years ago
7

What is the slope of the graph shown below?

Mathematics
1 answer:
levacccp [35]3 years ago
6 0

Answer:

2435

Step-by-step explanation:

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Overnight the temperature in Alaska dropped from 3%
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A. 8 3/4 degrees

Step-by-step explanation:

Alaska temperature dropped from 3 degrees Fahrenheit to twelve and a quarter degrees Fahrenheit below zero

12 1/4°F - 3°F

=8 3/4°F

The temperature dropped by 8 3/4°F

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A rectangular piece of sheet metal is 4 ft longer than it is wide. (see the illustration.) the area of the piece of sheet metal
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This is the start to the approach that would be taken to get both variables in terms of only one so it can be solved but since the numbers are so small you could easily test out numbers and figure out that it's 6 and 10 feet.

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Read 2 more answers
In problem solve the given differential equation by underdetermined coefficients y''-2y+y=xe^x
Alexus [3.1K]

Answer:

Solution is y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}

Step-by-step explanation:

Given Differential Equation,

y"-2y'+y=xe^x ...............(1)

We need to solve the given differential equations using undetermined coefficients.

Let the solution of the given differential equation is made up of two parts. one complimentary solution and one is particular solution.

\implies\:y(x)=y_c(x)+y_p(x)

For Complimentary solution,

Auxiliary equation is as follows

m² - 2m + 1 = 0

( m - 1 )² = 0

m = 1 , 1

So,

y_c(x)=C_1e^x+c_2xe^x

Now for particular solution,

let y_p(x)=Ax^3e^x

y'=Ax^3e^x+3Ax^2e^x

y"=Ax^3e^x+6Ax^2e^x+6Axe^x

Now putting these values in (1), we get

Ax^3e^x+6Ae^2e^x+6Axe^x-2(Ax^3e^x+3Ax^2e^x)+Ax^3e^x=xe^x

Ax^3e^x+6Ae^2e^x+6Axe^x-2Ax^3e^x-6Ax^2e^x+Ax^3e^x=xe^x

6Axe^x=xe^x

6A=1

A=\frac{1}{6}

\implies\:y_p(x)=\frac{x^3e^x}{6}

Therefore, Solution is y(t)=C_1e^x+C_2xe^x+\frac{x^3e^x}{6}

8 0
4 years ago
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