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s2008m [1.1K]
3 years ago
10

Striking a tuning fork harder makes the sound coming from the fork louder. This changes the _________ of the sinusoidal graph.

Mathematics
1 answer:
balandron [24]3 years ago
6 0

Answer:

<h2>Amplitude</h2>

Step-by-step explanation:

Basically, when we talk about sound waves, we have certain properties to analyse, where each of them is responsible for a specific effect.

Specifically, in this case, louder sound belongs to bigger amplitude, because the amplitude can be defined as how far is a string from its equilibrium point. In case of a tuning fork, the bigger amplitudes represent a higher movement when it vibrates, which gives louder sounds.

Therefore, the right answer is amplitude.

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Two lines intersect (see image below)
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Answer:

c-24

a-156

Step-by-step explanation:

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c= 24 opposite angles

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When an electric current passes through two resistors with resistance r1 and r2, connected in parallel, the combined resistance,
kondaur [170]

Answer:

a)

The combined resistance of a circuit consisting of two resistors in parallel is given by:

\frac{1}{R}=\frac{1}{r_1}+\frac{1}{r_2}

where

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r_1, r_2 are the two resistors

We can re-write the expression as follows:

\frac{1}{R}=\frac{r_1+r_2}{r_1r_2}

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In order to see if the function is increasing in r1, we calculate the derivative with respect to r1: if the derivative if > 0, then the function is increasing.

The derivative of R with respect to r1 is:

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We notice that the derivative is a fraction of two squared terms: therefore, both factors are positive, so the derivative is always positive, and this means that R is an increasing function of r1.

b)

To solve this part, we use again the expression for R written in part a:

R=\frac{r_1 r_2}{r_1+r_2}

We start by noticing that there is a limit on the allowed values for r1: in fact, r1 must be strictly positive,

r_1>0

So the interval of allowed values for r1 is

0

From part a), we also said that the function is increasing versus r1 over the whole domain. This means that if we consider a certain interval

a ≤ r1 ≤ b

The maximum of the function (R) will occur at the maximum value of r1 in this interval: so, at

r_1=b

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3 years ago
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