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Nina [5.8K]
4 years ago
14

How to discover the domain of the function?​

Mathematics
2 answers:
Nimfa-mama [501]4 years ago
7 0

Answer:

set the bottom equal to zero and exclude the x value you find when you solve the equation.

Step-by-step explanation:

Mademuasel [1]4 years ago
6 0

Answer:

<em>Remember that domain = x. You can discover the domain by looking at where the smallest and largest points of a graph are according to the x-axis. For example, look at the graph below. The domain would be - </em>∞<em> to  </em>+ ∞<em> because the parabola widens forever.</em>

<em />

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Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx
Vadim26 [7]

Answer:

\displaystyle D)  {x}^{5}  +  \rm C

Step-by-step explanation:

we would like to integrate the following Integral:

\displaystyle \int 5 {x}^{4} \, dx

well, to get the constant we can consider the following Integration rule:

\displaystyle \int c{x} ^{n}  \, dx  =  c\int  {x}^{n}  \, dx

therefore,

\displaystyle 5\int  {x}^{4} \, dx

recall exponent integration rule:

\displaystyle \int {x} ^{n}  \, dx  =  \frac{ {x}^{n + 1} }{n + 1}

so let,

  • n = 4

Thus integrate:

\displaystyle  =  5\left( \frac{ {x}^{4+ 1} }{4 +  1}  \right)

simplify addition:

\displaystyle  =  5\left( \frac{ {x}^{5} }{5}  \right)

reduce fraction:

\displaystyle  =  {x}^{5}

finally we of course have to add the constant of integration:

\displaystyle  \boxed{ {x}^{5}  +  \rm C}

hence,

our answer is D)

7 0
3 years ago
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Homework #74
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3 years ago
How do I find the closet length
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after knee surgery,your trainer tells you to return to you jogging program slowly. he suggests jogging for 12 min. each day for
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Answer:

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Step-by-step explanation:

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3 years ago
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A scatter plot has a correlation coefficient of -0.159. What does this suggest about the relationship between the two variables?
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R = -0.159 is the correlation coefficient

the value of r is closer to 0 than it is to -1, so the data is very weakly linear associated. The scatter plot points are too spread out for one single line to be close to them all. A different curve (such as a parabola) may be a better fit.

The fact that r is negative suggests that there is negative association. What this means is that as x goes up, y goes down. As you move from left to right, you go downhill. The regression line will have a negative slope. 
4 0
4 years ago
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