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2 years ago

What is the second derivative of Sin²x

Mathematics

2 answers:

Alex Ar [27]2 years ago

4 0

The second derivative of sin2x is d/dx(sin 2x) = 2 cos 2x.

miskamm [114]2 years ago

3 0

$\textbf{First derivative:}\\\\~~\dfrac{d}{dx}(\sin^2 x) \\\\\\= 2 \sin x \cdot \dfrac{d}{dx} (\sin x)\\\\\\=2 \sin x \cos x\\\\\\=\sin 2x\\\\ \textbf{Second derivative:}\\\\\dfrac{d^2}{dx^2} (\sin^2 x)\\\\\\=\dfrac{d}{dx}(\sin 2x)\\\\\\=\cos 2x \dfrac{d}{dx}(2x)\\\\\\=2 \cos 2x\\\\\text{Hence, the second derivative of the given function is}~ 2 \cos (2x).$

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Answer:

1) 68%

2) 68%

Step-by-step explanation:

<h2>1) The ages of trees</h2>

We know the mean and the standard deviation.

The mean is:

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The standard deviation is:

$\sigma=5$

The Z-score formula is:

$Z = \frac{x-\mu}{\sigma}$

For x=20 the Z-score is:

$Z_{20}=\frac{20-25}{5}=-1$

For x=30 the Z-score is:

$Z_{30}=\frac{30-25}{5}=1$

Then we look for the percentage of the data that is between $-1$ deviations from the mean.

According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of the trees are between 20 and 30 years old

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First we calculate the Z-scores

We know the mean and the standard deviation.

The mean is:

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The standard deviation is:

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The z-score formula is:

$Z = \frac{x-\mu}{\sigma}$

For x=24 the Z-score is:

$Z_{24}=\frac{24-27}{3}=-1$

For x=30 the Z-score is:

$Z_{30}=\frac{30-27}{3}=1$

Then we look for the percentage of the data that is between $-1$ deviations from the mean.

According to the empirical rule 68% of the data is less than 1 standard deviations of the mean. This means that 68% of pizzas are delivered between 24 and 30 minutes

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3 years ago

Identify the function y=1/2x+6

melamori03 [73]

The given function is linear and slope intercept form.

To identify the function.

<h3>What is function?</h3>

A function is defined as a relation between a set of inputs having one output each. function is a relationship between inputs where each input is related to exactly one output. Every function has a domain and codomain or range. A function is generally denoted by f(x) where x is the input.

Given that:

The given function is

y=1/2x+6

Put this equation into a graphing calculator and you will find that each y value will be 1/2 the x value plus 6

The y-intercept simply means the value of y when x=0.

The slope is 1/2 and the y-intercept is 6.

So, the given function is linear and slope intercept form.

Learn more about function here:

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2 years ago

(a) What is the equation of the line, written in slope-intercept form? Show how you determined the

lutik1710 [3]

Answer:

Step-by-step explanation:

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4 years ago

Evaluate ab + c for a = 2, b = 3, and c = 4.<br><br> 9<br><br> 10<br><br> 27

Lilit [14]

Given that a = 2, b = 3, and c = 4.

To evaluate ab+c, we will plug given values as shown below

ab+c

=2*3+4

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=10

Hence final answer is 10.

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3 years ago

Can someone help me with this ASAP!

asambeis [7]

The following correct answer is c.

This I because when you translate using this, you first start with the point (0,0), translate that point down 3 (-3 means down three when outside parenthesis) and translate it to the right 4 units (this shown in a paraptosis, and when you move to the right you say -4, but if you move to the left you say +4)

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3 years ago

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What is the second derivative of Sin²x​

What is the second derivative of Sin²x