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2 years ago

The math problem is-

Mathematics

1 answer:

gogolik [260]2 years ago

8 0

You should put it in at 12:25

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A particle moves along the x-axis so that at any time t, t ≥ 0, its acceleration is a(t) = -4sin(2t). If the velocity of the par

sasho [114]

The velocity of the particle is given by

$v(t)=v(0)+\displaystyle\int_0^ta(u)\,\mathrm du$

Since $a(t)=-4\sin2t$ and $v(0)=7$ , we get

$\displaystyle\int_0^ta(u)\,\mathrm du=\int_0^t-4\sin2u\,\mathrm du=2\cos2u\bigg|_0^t=2\cos2t-2$

$\implies v(t)=2\cos2t+5$

Similarly, the position function is obtained via

$x(t)=x(0)+\displaystyle\int_0^tv(u)\,\mathrm du$

We know $v(t)$ and we're told that $x(0)=0$ , so

$\displaystyle\int_0^tv(u)\,\mathrm du=\int_0^t(2\cos2u+5)\,\mathrm du=\sin2u+5u\bigg|_0^t=\sin2t+5t$

$\implies x(t)=\sin2t+5t$

making the answer A.

3 0

2 years ago

I just drew a blank can someone please help

PIT_PIT [208]

Answer:

≈ 542,029 copies

Step-by-step explanation:

37,400 copies represents a 6.9% of the total copies sold to date.

Therefore; Copies sold to date will be 100%

Thus;

Total number of copies sold = (37,400/6.9)× 100

= 542,028.99 copies

<u>≈ 542029 copies</u>

3 0

2 years ago

Read 2 more answers

Anyone wanna help me out? PLEASE ASAP

SCORPION-xisa [38]

The perimeter is 32
I'm having a little difficulty finding the area because I forgot how the get the height... if I knew the height I would tell you.
I am so sorry I can not help all the way.
but if you find the height Area= base (11) times height (?)

4 0

3 years ago

HELP ILL GIVE BRAINLIST

Serggg [28]

Answer:

$4.25

Step-by-step explanation:

Easy price is 85 so

Divide 85 by 100

0.85

then multiply by 5

0.85*5=4.25

Brainliest please and you're welcome

5 0

2 years ago

a company has determined that its maximum profit occurs when it sells 10,000 units per month. for every 1,000 units more or less

Lelu [443]

It would go to 15k because it take away 20k from 35k

8 0

2 years ago