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2 years ago

True or false you will probably read a mystery novel much faster than a science textbook

Advanced Placement (AP)

2 answers:

dimulka [17.4K]2 years ago

8 0

Answer:

true

Explanation:

saw5 [17]2 years ago

6 0

I would say true because for the most part u enjoy reading a novel a lot more then u would reading a science textbook.

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2. Find the solution of each differential equation. (a) y/2y-8y = 0 (b) 25y/- 20y + 4y = 0 (c) y + 2y + 2y = 0 2. Find the solut

jek_recluse [69]

Each of these ODEs is linear and homogeneous with constant coefficients, so we only need to find the roots to their respective characteristic equations.

(a) The characteristic equation for

$y'' - 2y' - 8y = 0$

$r^2 - 2r - 8 = (r - 4) (r + 2) = 0$

which arises from the ansatz $y = e^{rx}$ .

The characteristic roots are $r=4$ and $r=-2$ . Then the general solution is

$\boxed{y = C_1 e^{4x} + C_2 e^{-2x}}$

where $C_1,C_2$ are arbitrary constants.

(b) The characteristic equation here is

$25r^2 - 20r + 4 = (5r - 2)^2 = 0$

with a root at $r=\frac25$ of multiplicity 2. Then the general solution is

$\boxed{y = C_1 e^{2/5\,x} + C_2 x e^{2/5\,x}}$

$r^2 + 2r + 2 = (r + 1)^2 + 1 = 0$

with roots at $r = -1 \pm i$ , where $i=\sqrt{-1}$ . Then the general solution is

$y = C_1 e^{(-1+i)x} + C_2 e^{(-1-i)x}$

Recall Euler's identity,

$e^{ix} = \cos(x) + i \sin(x)$

Then we can rewrite the solution as

$y = C_1 e^{-x} (\cos(x) + i \sin(x)) + C_2 e^{-x} (\cos(x) - i \sin(x))$

or even more simply as

$\boxed{y = C_1 e^{-x} \cos(x) + C_2 e^{-x} \sin(x)}$

3 0

1 year ago

Free brainliest to the first who answers and 100 points!!!!! also a thanks and a five star

9966 [12]

The answer is definitely b

5 0

2 years ago

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Why were most slaves in the atlantic system taken from west and central africa

marta [7]

Answer:

West Central Africa 

The majority of all people enslaved in the New World came from West Central Africa. Before 1519, all Africans carried into the Atlantic disembarked at Old World ports, mainly Europe and the offshore Atlantic islands.

3 0

2 years ago

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A presidential candidate emerges from a new minor party that supports radical changes to the national government. This candidate

ser-zykov [4K]

Answer: It perpetuates the two-party system because minor parties do not attract a wide enough range of supporters to win.

Explanation:

The United States may be a democracy but it is one that is run by two parties. Minor parties do not have the reach, support or financing to challenge the great Republican and Democratic parties which is why in other to get enough votes to get into the major offices, one simply must belong to one of the two parties.

This is what the scenario above depicts. The plurality system assigs electoral votes to the candidate with the highest vote in the state and with the Reds and the Blues having support too wide to surmount, the system favors them and perpetuates their dominance.

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2 years ago

What are you wanna be when you graduate. what is going to be of your life

sergeinik [125]

When I graduate, I am going to fine an awesome wife, a girl that loves me and I love her. I want to explore the world and have 1 kid.

~Jurgen

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2 years ago

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