3 years ago

This picture is asking the question! Please help!

Mathematics

1 answer:

babunello [35]3 years ago

3 0

K should be ur answer

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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.

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3 years ago

Trevon bought one package of blueberries for $3. How many packages can Elisa buy if she has $63

kakasveta [241]

Since trevon bought one package for 3 dollars than 3 x 21 equals 63
Answer = 21

8 0

2 years ago

Solve the poprotion 38/25=n/12

ANEK [815]

Answer:

n = 18 6/25

Step-by-step explanation:

Multiply both sides by 12.

12(38/25) = 12(n/12)

456/25 = n = 18 6/25 = 18.24

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3 years ago

On Tuesday, Donovan earned $11 for 2 hours of babysitting. On Saturday, he babysat for the same family and earned $38.50. How ma

Lina20 [59]

$11=2 hrs

2hrs=$11
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+2(6hrs)=$33 hrs

so 6 hrs or 7 hours and some
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3 years ago

(x - 3)(2x^2 - 5x + 1)

Sunny_sXe [5.5K]

Answer:

2x^3-11x^2+16x-3

Step-by-step explanation:

Multiply x to all the other factors in the second parenthesis

Multiply -3 to all the other factors in the second parenthesis

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3 years ago