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2 years ago

2 Are 3(x – 4) – 2(2.5x - 1) and -2(x + 5) equivalent expressions?

Mathematics

1 answer:

Bogdan [553]2 years ago

8 0

Answer:

Equivalent expressions

Step-by-step explanation:

3(x – 4) – 2(2.5x - 1)

3x - 12 -5x +2

-2x - 10

and -2(x + 5)

-2x - 10

Yes, They are Equal

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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]

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

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

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

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

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

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So the particular solution to the IVP is

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3 years ago

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n200080 [17]

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3 years ago