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grigory [225]
3 years ago
7

How to integrate sqrt(1+x^3)?

Mathematics
1 answer:
Karolina [17]3 years ago
8 0
First integrate the entire thing by letting multiplying by 1/2 the entire expression raised to exponent 1/2 - 1. That is,
                          0.5(1 + x³)^-0.5
Then, multiplying this by the derivative of those inside the parentheses. The final answer would be,
                          (0.5)((1 + x³)^-0.5)(3x²)
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What is the area of the model in the problem?
nata0808 [166]

Answer:

A=x^2+12x+27\ units^2

Step-by-step explanation:

we know that

The area of the model is equal to the area of a rectangle

The area of a rectangle is equal to

A=LW

we have

L=x+9\ units

W=x+3\ units

substitute

A=(x+9)(x+3)

Apply distributive property

A=x^2+3x+9x+27

Combine like terms

A=x^2+12x+27\ units^2

4 0
4 years ago
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katen-ka-za [31]
Answers:
____________________________________
<span>
Angle B:  81°</span> .
____________________________________
<span>
Angle C:  99°</span> .
____________________________________
<span>
Angle D:  81°</span> .
_____________________________________________
<span>
Explanation:</span>
_______________________________________________________
<span>
Angle B:</span>
_______________________________________________________
Given:  m∡A = 99° ;

 ∡A and ∡B are "supplementary angles" ;
                          and supplementary angles add up to 180°.
_______________________________________________________
<span>      → So, m∡B = 180 − 99 = 81° </span>.
_______________________________________________________
Angle C:  99° .
_______________________________________________________
Explanation:
_______________________________________________________
 Given:  m∡A = 99° .

 ∡A and ∡C are "vertical angles".  Vertical angles are congruent.
______________________________________________________
   → So m∡A = m∡C = 99° .
______________________________________________________
Angle D:  81° .
______________________________________________________
Explanation:
______________________________________________________
   ∡B and ∡D are vertical angles.  Vertical angles are congruent.
    
    As previously determined above,  m∡B = 81° .
______________________________________________________
     → So, m∡D = m∡B = 81° .
<span>______________________________________________________</span>
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8 0
2 years ago
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Find the value of x such that the data set has the given mean.
Feliz [49]

The value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.

According to the given question.

We have a data set 100, 122, 105, 115, 107, x .

Also, the mean of the data set is 108.

As we know that, mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers.

Therefore, the mean of the data set 100, 122, 105, 115, 107, x is given by

Mean = [100 + 122 + 107 + 115+ 107 + x]/6

⇒ 108  × 6 = (551 + x)

⇒ 648  = 551 + x

⇒ x = 648 - 551

⇒ x = 97

Hence,the value of x is 108. If the mean of the data set 100, 122, 107, 115, 107, x is 108.

Find out more information about mean here:

brainly.com/question/11163338

#SPJ1

7 0
1 year ago
Suppose a rabbit population of 10 rabbits triples every month. Write and solve a function for how many rabbits will exist after
Simora [160]

Answer:

40

Step-by-step explanation:

10 rabbits

+ 3 months = 30 rabbits

40 rabbits

5 0
3 years ago
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