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2 years ago

What is the parallel slope of y=7

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

3 0

Answer: y = 7 is a horizontal line that has a slope of 0

Step-by-step explanation:

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!!GIVING AWAY ALLL MY POINTS FOR THIS!!

puteri [66]

Answer:

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4) Sea turtles use two cues to find the ocean after they hatch. One is light. The surface of the ocean reflects light. The hatchlings look for the twinkling of the sun or moon light bouncing off the ocean.

Step-by-step explanation:

3 0

2 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

1 year ago

Find the area of the shaded sector. Leave your answer in terms of π.

bearhunter [10]

Answer:

d=10m

r=10/2=5m

The Area is:

(πr^{2}) /2

(π5^2) / 2

=25π/2

=12.5π

8 0

2 years ago

Read 2 more answers

A street that is 564ft long is covered in snow. City workers are using a snowplow to clear the street. A tire on the snowplow ha

Goshia [24]

Answer:

the diameter of the tire is

5.23

Step-by-step explanation:

3.14/47 by 13

3 0

2 years ago

Read 2 more answers

Need Help On This Problem PLZ :-)

anastassius [24]

Answer:

y = 9 + 19x

Step-by-step explanation:

To find the equation matching a set of data, you simply try a few values for x and see if by solving that side of the equation you get the value of y. If you do, you found your equation.

You have a big advantage here... since you have the value of y when x = 0.

When x = 0, y = 9, that's a very important data to have to simplify your research.

Let's try the value of 0 for x in each of the given equations:

y = 18 + 10 (0) = 18 --- NO

y = 9 + 19 (0) = 9 --- YES! We can confirm with another value of x:

y = 9 + 19 (1) = 28 --- YES! Confirmed!

y = 9 + 19x is your answer!

8 0

3 years ago

What is the parallel slope of y=7​

What is the parallel slope of y=7