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GenaCL600 [577]
3 years ago
12

The current flowing through an electric circuit is the derivative of the charge as a function of time. If the charge q is given

by the equation q(t)=3t^2+2t-5 what is the current at t = 0?
Mathematics
2 answers:
blsea [12.9K]3 years ago
6 0

Answer:

The current at t = 0 is

I (0) = 2 units of current

Step-by-step explanation:

If the current flowing through an electric circuit is defined as the derivative of the charge as a function of time and we have the equation of the charge as a function of time, then, to find the equation of the current, we derive the equation of the charge.

q (t) = 3t ^ 2 + 2t-5

\frac{dq(t)}{dt} = 3 (2) t ^ {2-1} +2t ^ {1-1} -0

Simplifying the expression we have:

\frac{dq(t)}{dt} = 6t + 2t ^0\\\\\frac{dq(t)}{dt} = 6t + 2 = I (t)

Finally, the equation that defines the current of this circuit as a function of time is:

I (t) = 6t +2

Now to find the current at t = 0 we make I (t = 0)

I (0) = 6 * 0 +2

I (0) = 2 units of current

LUCKY_DIMON [66]3 years ago
5 0

Answer: I just took the test and got 100%

1. C, 2

2. D, v(t) = 8t - 2

3. B, 902 mi/min

4. A, the car is slowing down at a rate 10 mi/h^2

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3 years ago
If g(x)= 4, then g(5x) = ?
Neporo4naja [7]

Answer:

g(5x)= 20

Step-by-step explanation:

g(x)=4 is basically saying that 1 x is equal to 4.

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g(5x)= 20

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2 years ago
Please help ASAP!
Kruka [31]

First, recall that

\sin(-\theta)=-\sin\theta

So if \sin(-\theta)=\dfrac15, then \sin\theta=-\dfrac15.

Second,

\tan\theta=\dfrac{\sin\theta}{\cos\theta}

We know that \tan\theta>0 and \sin\theta, which means we should also have \cos\theta.

Third,

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but as we've already shown, we need to have \cos\theta, so we pick the negative root.

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\tan\theta=\dfrac{\sin\theta}{\cos\theta}\iff\dfrac6{\sqrt{12}}=\dfrac{-\frac15}{\cos\theta}\implies\cos\theta=-\dfrac1{5\sqrt3}

Unfortunately, none of the given answers match, so perhaps I've misunderstood one of the given conditions... In any case, this answer should tell you everything you need to know to find the right solution from the given options.

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Answer:

answer

Step-by-step explanation:

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