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marshall27 [118]
3 years ago
8

What is the domain and derivative of f(x)=ln(2xsqrt(2+x))?

Mathematics
1 answer:
wolverine [178]3 years ago
5 0
For domain 2x sqrt(2+x)>0
x>0,2+x>0,x>-2 combining 
we get x>2
f'(x)=[1/{2x sqrt(2+x)}][{2x/(2 sqrt(2+x))}+2 sqrt(2+x)]
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Shelly and Jamie participate in a street relay race. Jamie must run from point B along AB⌢, which represents part of a roundabou
JulijaS [17]

Answer:

Distance Jamie must sprint to reach Shelly is; L = 107 m

Step-by-step explanation:

We are given;

Central angle;θ = 123°

Radius;r = 50m

Now, for us to find out how many meters Jamie must sprint to reach Shelly, we'll use the formula for arc length of a circle;

Arc length; L = 2πr(θ/360)

So, plugging in the relevant values, we have;

L = 2π(50)(123/360)

L = 107.34 ≈ 107 m

L = 107 m

6 0
3 years ago
In significant figures whats 28.97 + 45.876
kondaur [170]
The answer :

74,846

The explanation:

7 0
4 years ago
What is $34 plus 7% sales tax?? Anyone
katrin [286]

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8 0
3 years ago
Rita makes and sells necklaces. The materials to make each necklace cost $2.75. Last week she made 8 necklaces and wants to make
Tresset [83]

Answer:

The error she made was that she was adding x and 2.75. She should subtract 2.75 from x.

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Step-by-step explanation:

The error she made was that she was adding x and 2.75.

She should write the equation as 8 (x - 2.75) = 78; as she spends $2.75 to make a necklace.

By using the correct equation: 8 (x - 2.75) = 78

=> 8x - 22 = 78

=> 8x = 78 + 22

=> 8x = 100

=> x = 100/8

=> x = 12.5

Another mistake that she made was that she sold each for $7 assuming that she would make a profit of 78, but she should see each necklace for $12.5 so that she could make a profit of $78.

Hope this helps you.

3 0
3 years ago
The table shows formulas for the recommended heart rates during exercise for a person who is "a" years old. Write and solve a co
Naily [24]

Answer:

102 ≤ heart rate ≤ 183.6

Step-by-step explanation:

... lower limit ≤ heart rate ≤ upper limit

Put 16 where "a" is and do the arithmetic.

... lower limit = 0.5(220 -16) = 102

... upper limit = 0.9(220 -16) = 183.6

Then the inequality is ...

... 102 ≤ heart rate ≤ 183.6

_____

<em>Comment on the problem</em>

There is nothing to "solve" here. One only needs to evaluate the limits.

7 0
3 years ago
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