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3 years ago

Which series are neither arithmetic nor geometric? Choose all that apply.

Mathematics

1 answer:

AfilCa [17]3 years ago

3 0

The middle two. An arithmetic series is when something is added over and over again. Geometric is the same except multiplication. For the first one, it only adds 3. For thr last one, it multiplies by -3. For the middle two, I can't seem to find a pattern.

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Solve the following differential equations or initial value problems. In part (a), leave your answer in implicit form. For parts

shepuryov [24]

Answer:

(a) (y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) y = arctan(t(lnt - 1) + C)

Step-by-step explanation:

(a) dy/dt = (t^2 + 7)/(y^4 - 4y^3)

Separate the variables

(y^4 - 4y^3)dy = (t^2 + 7)dt

Integrate both sides

(y^5)/5 + y^4 = (t^3)/3 + 7t + C

(b) dy/dt = (cos²y)lnt

Separate the variables

dy/cos²y = lnt dt

Integrate both sides

tany = t(lnt - 1) + C

y = arctan(t(lnt - 1) + C)

(t² + t) dy/dt = ty² - y²

(t² + t) dy/dt = y²(t - 1)

(t² + t)/(t - 1)dy/dt = y²

Separating the variables

(t - 1)dt/(t² + t) = dy/y²

tdt/(t² + t) - dt/(t² + t) = dy/y²

dt/(t + 1) - dt/(t(t + 1)) = dy/y²

dt/(t + 1) - dt/t + dt/(t + 1) = dy/y²

Integrate both sides

ln(t + 1) - lnt + ln(t + 1) + lnC = -1/y

2ln(t + 1) - lnt + lnC = -1/y

ln|C(t + 1)²/t| = -1/y

y = -1/ln|C(t + 1)²/t|

Apply y(1) = -1

-1 = ln|C(1 + 1)²/1|

-1 = ln(4C)

4C = e^(-1)

C = (1/4)e^(-1) ≈ 0.09

y = -1/ln|0.09(t + 1)²/t|

8 0

3 years ago

What figure models 6 divided by 3/2?

3241004551 [841]

The second one

Pls mark brainliest

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3 years ago

Hellohello, if you able to help me then please do. (:

madreJ [45]

Answer:

true duhh :))

Step-by-step explanation:

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3 years ago

Hello can you please help me posted picture of question

vagabundo [1.1K]

We are to select 2 people to sit in first row from 6.

This is a problem of Combinations. We are find permutation of 6 people taken 2 at a time. This can be represented as 6C2.

$6C2= \frac{6!}{4!*2!} \\ \\=15$

So, the answer is option B

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3 years ago

Can someone please help

RoseWind [281]

it’s 9 sq feet
use A=b•h/2
the base length is 6
the height is 3
6•3= 18 then divided by 2 is 9

7 0

3 years ago

Read 2 more answers