3 years ago

I am not sure how to figure this out.

1 answer:

3 0

Change them all into the same unit of measurement and you will see which is the furthest out by default.

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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

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

4 0

3 years ago

maxonik [38]

its simple X is domain Y is range so the answer is

8 0

3 years ago

11Alexandr11 [23.1K]

Rounded to one decimal place means to round to the nearest tenth (i.e. to the nearest 0.1)

4.25 (rounded to the nearest tenth) = 4.3

8 0

3 years ago

pochemuha

Answer:Thanks

Step-by-step explanation:

7 0

2 years ago

iren [92.7K]

The answer is 36°

Hope that helps, Good luck! (:

6 0

3 years ago