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Mumz [18]
3 years ago
5

(2w^2 x^3 y)^2 (x^4 y^5)

Mathematics
1 answer:
katrin2010 [14]3 years ago
3 0
I’m not sure this is right, but at least I tried?

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At what point does the curve have maximum curvature? y = 9 ln(x) (x, y) =
Andrews [41]

y = 9ln(x) 
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2

curvature k = |y''| / (1 + (y')^2)^(3/2) 

<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2) 
= (9/x^2) / (1 + 81/x^2)^(3/2) 
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)] 
= 9x(x^2 + 81)^(-3/2). 

To maximize the curvature, </span>

we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2) 
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2] 
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2) 

Setting k' = 0 yields x = ±9/√2. 

Since k' < 0 for x < -9/√2 and k' > 0 for x > -9/√2 (and less than 9/√2), 
we have a minimum at x = -9/√2. 

Since k' > 0 for x < 9/√2 (and greater than 9/√2) and k' < 0 for x > 9/√2, 
we have a maximum at x = 9/√2. </span>

x=9/√2=6.36

<span>y=9 ln(x)=9ln(6.36)=16.66</span>  

the answer is
(x,y)=(6.36,16.66)
7 0
3 years ago
Please help me! I need it
Studentka2010 [4]

Answer:

About 0.5

Step-by-step explanation:

By the law of sines:

\dfrac{2}{\sin 105}=\dfrac{c}{\sin 15} \\\\\\c=\dfrac{2}{\sin 105}\cdot \sin 15\approx 0.5cm

Hope this helps!

3 0
3 years ago
2. Express the given statement as an algebraic expression.<br>Sum ofa and 5 divided by 8​
bezimeni [28]

Answer:

An algebraic expression for <em>Sum of a and 5 divided by 8</em>​ is  \mathbf{\frac{a+5}{8}}

Step-by-step explanation:

We need to express the given statement as an algebraic expression.

Sum of a and 5 divided by 8​

Basically, we are given the expression in English sentence and we have to write algebraic expression.

It can be done in two steps:

Sum of a and 5 = We know that sum is denoted by + sign. So, we get (a+5)

Sum of a and 5 divided by 8​ = \frac{a+5}{8}

So, An algebraic expression for <em>Sum of a and 5 divided by 8</em>​ is  \mathbf{\frac{a+5}{8}}

7 0
3 years ago
What is 6 x 1/2 <br> PLEASE-
CaHeK987 [17]

Answer:

3

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Correct answer gets brainliest or who ever answered first
timurjin [86]

Answer:

B

Step-by-step explanation:

6 0
3 years ago
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