Answer:
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Step-by-step explanation:
11 bags can be filled with bows
3 and 6 would be alternate interior angles.
Answer:
Step-by-step explanation:
Given
Position of particle is ![r(t)=at\hat{i}+b\sin (at)\hat{j}](https://tex.z-dn.net/?f=r%28t%29%3Dat%5Chat%7Bi%7D%2Bb%5Csin%20%28at%29%5Chat%7Bj%7D)
i.e. distance from x axis is ![b\sin (at)---1](https://tex.z-dn.net/?f=b%5Csin%20%28at%29---1)
Distance from y axis at
velocity is given by ![v=\frac{\mathrm{d} r}{\mathrm{d} t}](https://tex.z-dn.net/?f=v%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%20r%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![v=a\hat{i}+ba\cos (at)\hat{j}](https://tex.z-dn.net/?f=v%3Da%5Chat%7Bi%7D%2Bba%5Ccos%20%28at%29%5Chat%7Bj%7D)
Similarly acceleration is given by
![a=\frac{\mathrm{d} v}{\mathrm{d} t}](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B%5Cmathrm%7Bd%7D%20v%7D%7B%5Cmathrm%7Bd%7D%20t%7D)
![a=0\hat{i}-a^2b\sin (at)\hat{j}](https://tex.z-dn.net/?f=a%3D0%5Chat%7Bi%7D-a%5E2b%5Csin%20%28at%29%5Chat%7Bj%7D)
Magnitude of acceleration is ![=\sqrt{(-a^2b\sin (at))^2}](https://tex.z-dn.net/?f=%3D%5Csqrt%7B%28-a%5E2b%5Csin%20%28at%29%29%5E2%7D)
![=a^2b\sin (at)----2](https://tex.z-dn.net/?f=%3Da%5E2b%5Csin%20%28at%29----2)
From 1 and 2 we can see that
Magnitude of acceleration is proportional to distance from x axis
![a\propto distance\ from\ x-axis](https://tex.z-dn.net/?f=a%5Cpropto%20distance%5C%20from%5C%20x-axis)
Answer:
(-3, 2).
Step-by-step explanation:
The vertex is the coordinates of the minimum value of the function .
from the graph the vertex is (-3, 2).