Answer:
The directional derivate is given by: 
Step-by-step explanation:
The directional derivative at point (x,y) is given by:

In which a is the x component of the unit vector and b is the y component of the unit vector.
Vector:
We are given the following vector: 
Its modulus is given by: 
The unit vector is given by each component divided by it's modulus. So

This means that 
Partial derivatives:

So




Directional derivative:


![D_{u}(x,y) = \frac{18}{\ln{17}\sqrt{10}} - \frac{12}{\ln{17}\sqrt{10}}[tex][tex]D_{u}(x,y) = \frac{6}{\ln{17}\sqrt{10}}](https://tex.z-dn.net/?f=D_%7Bu%7D%28x%2Cy%29%20%3D%20%5Cfrac%7B18%7D%7B%5Cln%7B17%7D%5Csqrt%7B10%7D%7D%20-%20%5Cfrac%7B12%7D%7B%5Cln%7B17%7D%5Csqrt%7B10%7D%7D%5Btex%5D%3C%2Fp%3E%3Cp%3E%5Btex%5DD_%7Bu%7D%28x%2Cy%29%20%3D%20%5Cfrac%7B6%7D%7B%5Cln%7B17%7D%5Csqrt%7B10%7D%7D)
The directional derivate is given by: 
Answer: 22, 8, 27
Step-by-step explanation: the sum of the 2 shorter sides must be greater than longest side
Same as handshake problem.
Each of n persons plays against n-1 persons for a total of n(n-1)/2 games.
The division by 2 is necessary to avoid double counting the game A vs B and B vs A.
For n=8, then number of games played in the first round is 8(8-1)/2=28 games.
Answer:
4th answer
Step-by-step explanation:
angle 1 is congruent to angle 2, they stay the same..... as are corresponding angles that also appear when parallel lines are cut by a transversal .
Answer: t = -37/100 or if needed in deciaml form t = -3.700
hope this helps
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