Answer:
Step-by-step explanation:
![2(x-2)^2=8(7+y)\\2(x-2)^2=56+8y \Rightarrow y={1\over{8}}[2(x-2)^2-56]={1\over{4}}(x-2)^2-7\\finally\\y={1\over{4}}(x-2)^2-7\\let ~change~x~and~y\\x={1\over{4}}(y-2)^2-7\\x+7={1\over{4}}(y-2)^2\\4(x+7)=(y-2)^2\\y-2=\pm\sqrt{4(x+7)}\\\\y=2\pm\sqrt{4x+28}](https://tex.z-dn.net/?f=2%28x-2%29%5E2%3D8%287%2By%29%5C%5C2%28x-2%29%5E2%3D56%2B8y%20%5CRightarrow%20y%3D%7B1%5Cover%7B8%7D%7D%5B2%28x-2%29%5E2-56%5D%3D%7B1%5Cover%7B4%7D%7D%28x-2%29%5E2-7%5C%5Cfinally%5C%5Cy%3D%7B1%5Cover%7B4%7D%7D%28x-2%29%5E2-7%5C%5Clet%20~change~x~and~y%5C%5Cx%3D%7B1%5Cover%7B4%7D%7D%28y-2%29%5E2-7%5C%5Cx%2B7%3D%7B1%5Cover%7B4%7D%7D%28y-2%29%5E2%5C%5C4%28x%2B7%29%3D%28y-2%29%5E2%5C%5Cy-2%3D%5Cpm%5Csqrt%7B4%28x%2B7%29%7D%5C%5C%5C%5Cy%3D2%5Cpm%5Csqrt%7B4x%2B28%7D)
Answer:
000
Step-by-step explanation:
000
Answer:
960 calories for the 64 oz jug
Step-by-step explanation:
6 oz for 90 calories.
64 oz for ??? calories.
It's a ratio, 6:90
and 64:???
so 6 * 10 2/3 is 64.
so 90 * 10 2/3 is ???
960 is ???
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.
