Answer:
All of the above
Step-by-step explanation:
dy/dt = y/3 (18 − y)
0 = y/3 (18 − y)
y = 0 or 18
d²y/dt² = y/3 (-dy/dt) + (1/3 dy/dt) (18 − y)
d²y/dt² = dy/dt (-y/3 + 6 − y/3)
d²y/dt² = dy/dt (6 − 2y/3)
d²y/dt² = y/3 (18 − y) (6 − 2y/3)
0 = y/3 (18 − y) (6 − 2y/3)
y = 0, 9, 18
y" = 0 at y = 9 and changes signs from + to -, so y' is a maximum at y = 9.
y' and y" = 0 at y = 0 and y = 18, so those are both asymptotes / limiting values.
Answer:
1665
Step-by-step explanation:
This is AP, where:
- First term is: 12= 3*4
- Last term is: 99= 3*33
- Common difference is: 3
- Number of terms is: 33- 3= 30 (because the 4th term is included)
The sum of all two - digit natural numbers which are divisible by 3 is 1665
Answer:
The difference in the lengths of the two alligators = 3
Step-by-step explanation:
First, let us make the lengths improper fractions, then we will find the difference from there.
Alligator 1:
Length =
To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]
Alligator 2:
Length =
Now Let us find the difference between the lengths:
Therefore the difference in the lengths of the two alligators = 3
Answer:
6 I think
Step-by-step explanation:
7 + 5(x - 3) = 22
7 + 5x - 15 = 22
7 + 5x = 37
5x = 30
x = 6
{ 6 }
Answer:
2^-18
Step-by-step explanation: