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frez [133]
3 years ago
10

Find the derivative g(x)=ln(2x^2+1)

Mathematics
1 answer:
lana [24]3 years ago
8 0

Answer:

4x / (2x^2+1)

Step-by-step explanation:

g(x)=ln(2x^2+1)

Using u substitution

u= 2x^2 +1

du = 4x  dx

g'(x) = d/du ( g(u) du)

We know that the derivative of ln(u) = 1/u  since this is always positive

        = 1/ u* du

 Substituting x back into the equation

g'(x) = 1/(2x^2+1) * 4x

       = 4x / (2x^2+1)

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Which statements about the value of the digits in the number 6,666,666 are true?
tatiyna

B. The digit in the hundred thousands place is 1/10 the value of the digit in the millions place.

C. The digit in the ten thousands place is 10 times the value of the digit in the thousands place.

Hope this helps !

Photon
4 0
3 years ago
Evaluate f(t)=-2t2+ 1 for f(-3).
podryga [215]

Answer:

7

Step-by-step explanation:

First, plug-in f(-3) into t in the function:

f(-3)=-2(-3) +1

Second, multiply -2 and -3 to get 6:

f(-3)=-2(-3)+1⇒f(-3)=6+1

Third, add 6 and 1 to get your answer:

f(-3)= 6+1⇒f(-3)=7

3 0
3 years ago
A polygon has the following coordinates: A(3,1), B(5,3), C(2,5), D(-1,5), E(-4,3), F(-2,1). Find the length of DC.
nlexa [21]

To find the length of a line given two points, we are going to use the distance formula, which is defined below:

D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

((x_1, y_1) and (x_2, y_2) are the two points)


The points in this problem are (2, 5) and (-1, 5). We can find the distance of DC by substituting these values into the distance formula and simplifying, as shown below:

D = \sqrt{(-1 - 2)^2 + (5 - 5)^2

  • Substitute values into formula

D = \sqrt{(-3)^2}

  • Combine like terms and then simplify 0^2 to 0

D = \sqrt{9}

  • Compute (-3)^2 = 9

D = 3

  • Compute \sqrt{9} = 3

The length of DC is 3.

7 0
3 years ago
18. What is the<br> y = -2x + 7<br> y = -3
sp2606 [1]

Answer:

what is x?

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Cereal. A dietician obtains the amounts of sugar (incentigrams) from 100 centigrams (or 1 gram) in each of 10 differentcereals,
nadezda [96]

Answer:

Range is 44

mean is 29.7

variance is 289.56

standard deviation is 17.016

Step-by-step explanation:

The data given as follows

3, 24, 30, 47, 43, 7, 47,13, 44, 39

Range = maximum - minimum

             = 47 -3 = 44

mean = \frac{3+24+30+47+43+7+47+13+44+39}{10} = 297/10 = 29.7

variance = \frac{sum xi^2 }{N} - mean^2 }

              = 289.56

SD = \sqrt{variance}  = 17.016

The standard deviation of the given data is not a good measure as the range and standard deviation are far apart. The standard deviation gives how the given data is dispersed from the mean or expected value, while the range gives a rough idea of variability of the data.

3 0
3 years ago
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