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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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I need help!!
Natasha2012 [34]

Answer:

The exact solution is

x = \frac{Ln(60)}{7*Ln(5)}

And the approximation to three decimal places is:

x = 0.363

Step-by-step explanation:

Here we have the equation:

5^{7*x} = 60\\

Now we can remember a property of the natural logarithm function:

Ln(a^n) = n*Ln(a)

Now we can apply the Ln( ) function to both sides of that equation to get:

Ln(5^{7*x}) = Ln(60)

Then we get:

7*x*Ln(5) = Ln(60)

Solving that for x we get:

x = \frac{Ln(60)}{7*Ln(5)}  = 0.363

So the exact solution is:

x = \frac{Ln(60)}{7*Ln(5)}

And the approximation to three decimal places is:

x = 0.363

7 0
3 years ago
Which equation is equivalent to startroot x^2 + 81 EndRoot = x + 10?
Nitella [24]

Answer:given below

Step-by-step explanation:

sqrt x^2 +81= x + 10

x^2 + 81 = (x+10)^2

x^2 + 81 = x^2 + 20x + 100

so answer is:  

x^2 + 81 = x^2 +20x + 100

..HOPE IT HELPS YOU...ALL THE BEST

3 0
3 years ago
Find the exact value of tan22.5 using the half angle formula.
mote1985 [20]
Tan(a/2) = sin a / (1 + cos a)
tan(45/2) = sin(45) / (1 + cos(45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1)/√2  = 1/(√2 + 1) = (√2 - 1)
7 0
3 years ago
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Function f is shown on the graph
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Answer:

Option A, (-4, -1)

Hope this helps!

6 0
3 years ago
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The function of the relationship above is y=5x+4
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