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MariettaO [177]

2 years ago

12

Find the 30th derivative of y=cos(2x)

1 answer:

Sladkaya [172]2 years ago

8 0

I got this answer from someone else so I’m not sure this is correct but I really hope it helps...

Step-by-step explanation:

Look for patterns in the derivatives.

y=cos2x

y'=-2sin2x

y''=-4cos2x

y'''=8sin2x

y''''=16cos2x

Notice that sin and cos alternate every derivative. Also, they alternate positive and negative every 2 derivatives.

The constant is just 2^(derivative#).

Every odd derivative has sin and every even derivative has cos, so you know that the 30th derivative will be cos.

If you follow the pattern of negatives and positives, you find that the 30th derivative will be negative.

y^(30)= -2^30cos2x

y^(30)= -1073741824cos2x

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Answer: n=0.4 or 2/5

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1. To find the slope given two points, use the following formula:

$\frac{y^{2}- y^{1} }{x^{2}-x^{1} }$

2. $y^{2}$ would be the second y-value (in the second ordered pair), 2, and $y^{1}$ would be the first y-value (in the first ordered pair), also 2.

3. Same for the x-values. $x^{2}$ is -2 and $x^{1}$ is 4

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The phone company NextFell has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of mon

rosijanka [135]

Answer:

$y = 0.35x + 35$

Step-by-step explanation:

Linear equation:

A linear equation has the following format:

$y = mx + b$

In which m is the slope and b is the y-intercept.

Finding the slope:

We have two points: (110, 73.5) and (760, 301).

The slope is given by the change in y divided by the change in x. So

Change in y: 301 - 73.5 = 227.5

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Slope: $m = \frac{227.5}{650} = 0.35$

So

$y = 0.35x + b$

Finding the y-intercept:

(760, 301) means that when $x = 760, y = 301$ . So

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$b = 301 - 0.35(760)$

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2 years ago

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viva [34]

Answer:

Step-by-step explanation:

$x - 10y = 18$

$-6x - 10y = 32$

Since both equations have $-10y$ , we can subtract the second equation from the first to try and solve for $x$ :

$(x - 10y) - (-6x - 10y) = 18 - 32$

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With this, we can plug the value back into the first equation to solve for $y$ :

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Therefore, the solution is $x = -2, y = -2$

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3 years ago