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Fantom [35]
3 years ago
9

Integral sqrt(4+3x) dx

Mathematics
1 answer:
Alisiya [41]3 years ago
3 0
Let 4 + 3x = u

then 3dx = du
 
or, <span>1/3∫<span>u√</span>du
</span> 
= <span>1/3<span>u^<span>3/2</span></span>/(3/2)
</span> 
= <span>2/9∗(4+3x<span>)^<span>3/2

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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Please answer ASAP! will give brainlist.
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Answer:

B

Step-by-step explanation:

120+4x-12=180, 4x+108=180,4x=72, x=18

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Step-by-step explanation:

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Three more than the quotient of a number and 8 is equal to 9
garri49 [273]

Answer:

The number is 48.

Step-by-step explanation:

x/8+3=9

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Part A:

The average rate of change refers to a function's slope. Thus, we are going to need to use the slope formula, which is:

m = \dfrac{y_2 - y_1}{x_2 - x_1}

  • (x_1, y_1) and (x_2, y_2) are points on the function

You can see that we are given the x-values for our interval, but we are not given the y-values, which means that we will need to find them ourselves. Remember that the y-values of functions refers to the outputs of the function, so to find the y-values simply use your given x-value in the function and observe the result:

h(0) = 3(5)^0 = 3 \cdot 1 = 3

h(1) = 3(5)^1 = 3 \cdot 5 = 15

h(2) = 3(5)^2 = 3 \cdot 25 = 75

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Now, let's find the slopes for each of the sections of the function:

<u>Section A</u>

m = \dfrac{15 - 3}{1 - 0} = \boxed{12}

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m = \dfrac{375 - 75}{3 - 2} = \boxed{300}


Part B:

In this case, we can find how many times greater the rate of change in Section B is by dividing the slopes together.

\dfrac{m_B}{m_A} = \dfrac{300}{12} = 25


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ludmilkaskok [199]

Answer:

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