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:
288 cubic cm
Step-by-step explanation:
Volume of the pyramid = 1/3 * base area * height
Base area = 12 * 12
Base area - 144 sq. cm
Height = 6cm
Volume of the pyramid = 144 * 6/3
Volume of the pyramid = 144 * 2
Volume of the pyramid = 288 cubic cm
Hi Cherise1cherhop lets break this equation down with these steps:
1) add the whole numbers first
2) find the LCD of the fractions and that would be 42 since 42 can go into both denominators through multiplication
3) make the denominators (bottom numbers) the same as the LCD (42)
4) simplify it, now the denominators are equal
5) join the denominators together
6) simplify it (3 + 65/42)
7) convert 65/42 to mixed fraction
8) now that we made it a mixed fraction, simplify it
Answer: 4 23/42
Y=3x+6
y=mx+b 3 is slope and m is also the slope, six is b because it’s where it BEgins :)
