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3 years ago

What is t+8+3t because I’m strugling with it

Mathematics

1 answer:

Tresset [83]3 years ago

4 0

Answer:

t + 8 + 3t

group like terms

t + 3t + 8

4t + 8

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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

If two lines are parallel and one has a slope of 8, what is the slope of the other line

tresset_1 [31]

Answer: 8

Parallel lines always have the same slope.

[I attached a picture that might help show you]

The lines do NOT Intersect.

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3 years ago

SERIOULSLY WOULD SOMEONE JUST HELP ME WITH THESE QUESTIONS FOR ONCE? BY THAT I MEAN NOT ONLY ANSWER 23 AND 22 ALSO 24, 25, 26,27

Fantom [35]

Answer:

Step-by-step explanation:

22. √125 is closer to √121 or 11

23. √23.5 is closer to √25 or 5

24. ∛59 is closer to ∛64 or 4 (cubed)

(4 cubed = 64, 3 cubed = 27)

25. ∛430 is closer to ∛512 or 8

(512 - 430 = 82

430- 343= 87)

26. y² = 55 is equal to y = √55, Closer to √49 or 7

27. d² = 95 is equal to d = √95, Closer to √100 or 10

28. p² = 6.8 is equal to p = √6.8, Closer to √9 or 3

29. ∛210 is closer to ∛216 or 6 (cubed)

30. ∛520 is closer to ∛512 or 8 (cubed)

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False because you walk both the sides so you would have to do 360x2 added to 160x2

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3 years ago

An object placed between two plane mirrors arranged at right angles to each other at a distance d1 from the surface of one mirro

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Answer:

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4 years ago