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lesya692 [45]
3 years ago
12

Help with math 360×610÷409= what help

Mathematics
1 answer:
sergij07 [2.7K]3 years ago
7 0

The answer to the equation is approximately 536.91

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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
(b) Paul uses the function y = 8x + 40 to model the situation. What score does the model predict for 3 h of homework? WILL MARK
Bess [88]
Assuming that x is the amount of hours spent doing homework:

Plug in 3 for x

y = 8(3)+40, y=64

That means that since a y value is the test score (because that's what the y-axis is labeled), your predicted test score is a 64.
8 0
3 years ago
A recipe calls for two eggs to make 10 pancakes. How many eggs will you need to make 35 pancakes?
zzz [600]
Hello!

2 eggs makes 10 pancakes so that is a 2:10 ratio

which can be reduced to 1 egg makes 5 pancakes so  

35/5 which equals 7

7 eggs are needed to make 35 pancakes

Hope this helps!
5 0
3 years ago
Find the solution set for this equation. Separate the two values with a comma.
adelina 88 [10]
Y^2 -11y = 0

We can factor it:
y * (y -11) = 0

So y = 11, 0


3 0
3 years ago
Read 2 more answers
How do u solve proportion equations
jok3333 [9.3K]
You draw a line and then a = and another line on another side


like this but bigger ––=––
7 0
3 years ago
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