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3 years ago

What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?

Mathematics

1 answer:

wolverine [178]3 years ago

5 0

For domain 2x sqrt(2+x)>0
x>0,2+x>0,x>-2 combining
we get x>2
f'(x)=[1/{2x sqrt(2+x)}][{2x/(2 sqrt(2+x))}+2 sqrt(2+x)]

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Nutka1998 [239]

Is there meant to be a picture attached with this?

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3 years ago

A cleaning company charges a fee of &65 in addition to $10.50 per hour of cleaning, let x represent the number of hours clea

photoshop1234 [79]

Fee of $65
$10.50 per hour

'x' represents hours

Therefore we have:

y = 10.50x + 65

Because 10.50 is the cost per hour, and x represents hours, so we put these together. 65 is a one-time fee, so we just add it on.

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3 years ago

Regular quadrilateral prism has an altitude h = 11 cm and base edges b=8 cm. Find the sum of all edges.

maxonik [38]

The sum of all edges is 108 cm.

There are two bases whose edges are all 8 cm; this gives us 8(4)+8(4) = 32+32=64.

There are 4 edges between bases that are 11 cm each; 11(4) = 44

Together, this gives us 64+44=108 cm.

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4 years ago

SAT scores have a mean of 1026 and a standard deviation of 209. ACT scores have a mean of 20.8 and a standard deviation of 4.8.

Y_Kistochka [10]

Answer:

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

Step-by-step explanation:

Mean SAT scores = 1026

Standard Deviation = 209

Mean ACT score = 20.8

Standard Deviation = 4.8

We are given SAT and ACT scores of a student and we have to compare them. We cannot compare them directly so we have to Normalize them i.e. convert them into such a form that we can compare the numbers in a meaningful manner. The best way out is to convert both the values into their equivalent z-scores and then do the comparison. Comparison of equivalent z-scores will tell us which score is higher and which is lower.

The formula to calculate the z-score is:

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

Here, μ is the mean and σ is the standard deviation. x is the value we want to convert to z score.

z-score for junior scoring 860 in SAT exam will be:

$z=\frac{860-1026}{209}=-7.59$

z-score for junior scoring 16 in ACT exam will be:

$z=\frac{16-20.8}{4.8}=-1$

The z-score for SAT exam of junior is much small than his ACT score. This means he performed well in his ACT exam and performed poor in his SAT exam.

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3 years ago

What is x^2 equal to? (Please don't tell me it is a graph) Is it equal to -x, 2x, or something?

Lera25 [3.4K]

$x^{2}$ is equal to 2x, since it is the derivative of $x^{2}$ .

3 0

3 years ago