Answer:
Latest time for start hiking = 4:57 PM
Step-by-step explanation:
Given:
Time of sunset = 9:26 P.M
Time taken for hiking = 3 hours and 3 minutes (03:03)
Time taken for set up = 1 hour and 26 minutes (1:26)
Find:
Latest time for start hiking
Computation:
Latest time for start hiking = Time of sunset - Time taken for set up - Time taken for hiking
Latest time for start hiking = 9:26 - 1:26 - Time taken for hiking
Latest time for start hiking = 8:00 PM - 03:03
Latest time for start hiking = 7:60 - 03:03
Latest time for start hiking = 4:57 PM
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:
please I don't know
Step-by-step explanation:
please I don't know
please give me another question
X in this equation is about 4 and a half i know because i used a cacisnatter
The last graph is the answer
