4 years ago

The graph of f(x) = log x + 3 is the graph of g(x) = log x translated 3 units |

Mathematics

2 answers:

vesna_86 [32]4 years ago

5 0

Answer: 3 units up //

Step-by-step explanation:

Tasya [4]4 years ago

5 0

Answer:

1. up

2. add 3 to the y-coordinate

3. b

Step-by-step explanation:

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Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

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From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

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$\implies C_1=\dfrac12,C_2=\dfrac92$

So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

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Marlowe loves to draw. She wants to refine her skills and start taking drawing lessons at a local art studio. The table shows th

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Sorry im a little late but here's how i did it.

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Answer:

Step-by-step explanation: The four numbers: - 34, -0.4, 0.4, 3.4

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