3 years ago

Pls help pls help pls help

Mathematics

1 answer:

Yakvenalex [24]3 years ago

3 0

3 is the correct answer Finn he is corn

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Find the solution r(t)r(t) of the differential equation with the given initial condition: r′(t)=⟨sin9t,sin6t,9t⟩,r(0)=⟨4,6,3⟩

klemol [59]

$\mathbf r'(t)=\langle\sin9t,\sin6t,9t\rangle$

$\mathbf r(t)=\displaystyle\int\mathbf r'(t)\,\mathrm dt$

$\mathbf r(t)=\left\langle\displaystyle\int\sin9t\,\mathrm dt,\int\sin6t\,\mathrm dt,\int9t\,\mathrm dt\right\rangle$

$\displaystyle\int\sin9t\,\mathrm dt=\frac19\cos9t+C_1$

$\displaystyle\int\sin6t\,\mathrm dt=\frac16\cos6t+C_2$

$\displaystyle\int9t\,\mathrm dt=\frac92t^2+C_3$

With the initial condition $\mathbf r(0)=\langle4,6,3\rangle$ , we find

$\dfrac19\cos0+C_1=4\implies C_1=\dfrac{35}9$

$\dfrac16\cos0+C_2=6\implies C_2=\dfrac{35}6$

$\dfrac92\cdot0^2+C_3=3\implies C_3=3$

So the particular solution to the IVP is

$\mathbf r(t)=\left\langle\dfrac19\cos9t+\dfrac{35}9,\dfrac16\cos6t+\dfrac{35}6,\dfrac92t^2+3\right\rangle$

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3 years ago

You have a rectangular Box whose dimensions are 5cm X 4 Cm X 4 Cm that holds 32 jelly beans, and another rectangular Box whose d

Marizza181 [45]

Answer:

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Step-by-step explanation:

Volume = 4*4*5 = 80 cm^3

Ratio = 32beans/80cm^3 = .4beans/cm^3

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BlackZzzverrR [31]

Kelby drank 168 glasses of water per week
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Since 8 eight-ounce glass of water is for every 50 pounds.
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So kelby probably weighs 150 pounds

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Paladinen [302]

X/14=29
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x=406

Hope this helps :)

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Down, the line is going down

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