3 years ago

Help please! Will mark you as Brainliest!

Mathematics

1 answer:

shutvik [7]3 years ago

5 0

Answer:

Step-by-step explanation:

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Solve the equation <br>r ÷ (-8) =5

krok68 [10]

Answer:

r=-40

Step-by-step explanation:

r/-8=5

times -8 on both sides

5 times -8 =-40

r=-40

8 0

3 years ago

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Solve the separable differential equation dtdx=x2+164 and find the particular solution satisfying the initial condition x(0)=9

maria [59]

$\dfrac{dt}{dx} = x^2 + \frac{1}{64} \Rightarrow\ dt = \left(x^2 + \frac{1}{64}\right)dx \Rightarrow \\ \\ \displaystyle \int 1 dt = \int \left(x^2 + \frac{1}{64}\right)dx \Rightarrow \\ t = \dfrac{x^3}{3} + \frac{x}{64} + C$

C = 9 because all the x terms go away.

$t = \dfrac{x^3}{3} + \dfrac{x}{64} + 9$