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)
Answer: See explanation
Step-by-step explanation:
I think your question isn't well written and that 234 was meant to be 2.34 and 112 was meant to be 1.12
Let the amount spent on tomatoes be x.
The information given in the question can then be used to form an equation as thus:
Apples + Peaches + Tomatoes = $9.63
(2.34 × $1.32) + (1.12 × $1.20) + x = $9.63
$3.0888 + $1.344 + x = $9.63
x = $9.63 - ($3.0888 + $1.344)
x = $9.63 - $4.4328
x = $5.1972
The amount spent on tomatoes will be $5.1972
There's on 38000 there? is it meant to be 380000?
15 is compostit bevuasw (3x5=15) (1x15)
Answer:
A. 1/2 (20 x 50) + 1/2 (20 x 10), 2 (1/2 x 20 x 50) + 2(1/2 x 20 x 10)
B. 100
Step-by-step explanation:
