There are 21 girls at the party.
The answer would be 67 white T-shirts because there are not a lot of white t-shirts. If you didnt have a lot, then you would buy more of thta thing.
Step-by-step explanation:
This is the answer...
Answer:
Absolute minimum = 1.414
Absolute maximum = 2.828
Step-by-step explanation:
![g(x,y)=\sqrt {x^2+y^2} \ constraints: 1\leq x\leq 2 ,\ 1\leq y\leq2](https://tex.z-dn.net/?f=g%28x%2Cy%29%3D%5Csqrt%20%7Bx%5E2%2By%5E2%7D%20%5C%20constraints%3A%201%5Cleq%20x%5Cleq%202%20%2C%5C%201%5Cleq%20y%5Cleq2)
For absolute minimum we take the minimum values of
and
.
![x_{minimum} =1\\y_{minimum}=1\\](https://tex.z-dn.net/?f=x_%7Bminimum%7D%20%3D1%5C%5Cy_%7Bminimum%7D%3D1%5C%5C)
Plugging in the minimum values in the function.
![g(1,1)=\sqrt {1^2+1^2}\\g(1,1) = \sqrt{1+1}\\g(1,1)=\sqrt {2}\\g(1,1)=\pm 1.414\\](https://tex.z-dn.net/?f=g%281%2C1%29%3D%5Csqrt%20%7B1%5E2%2B1%5E2%7D%5C%5Cg%281%2C1%29%20%3D%20%5Csqrt%7B1%2B1%7D%5C%5Cg%281%2C1%29%3D%5Csqrt%20%7B2%7D%5C%5Cg%281%2C1%29%3D%5Cpm%201.414%5C%5C)
Absolute minimum value will be always positive.
∴ Absolute minimum = 1.414
For absolute maximum we take the maximum values of
and
.
![x_{maximum} =2\\y_{maximum}=2\\](https://tex.z-dn.net/?f=x_%7Bmaximum%7D%20%3D2%5C%5Cy_%7Bmaximum%7D%3D2%5C%5C)
Plugging in the maximum values in the function.
![g(2,2)=\sqrt {2^2+2^2}\\g(2,2) = \sqrt{4+4}\\g(2,2)=\sqrt {8}\\g(2,2)=\pm 2.828\\](https://tex.z-dn.net/?f=g%282%2C2%29%3D%5Csqrt%20%7B2%5E2%2B2%5E2%7D%5C%5Cg%282%2C2%29%20%3D%20%5Csqrt%7B4%2B4%7D%5C%5Cg%282%2C2%29%3D%5Csqrt%20%7B8%7D%5C%5Cg%282%2C2%29%3D%5Cpm%202.828%5C%5C)
Absolute maximum value will be always positive.
∴ Absolute maximum = 2.828