Answer:
We know our answer is correct because 11 + 12 + 13 equals 36 as displayed Below
Explanation
3X + 3 = 36 3X + 3 - 3 = 36 - 3 3X = 33 3X/3 = 33/3 X = 11 Which means that the first number is 11, the second number is 11 + 1 and the third number is 11 + 2. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36 We know our answer is correct because 11 + 12 + 13 equals 36 as displayed above. Therefore, three consecutive integers that add up to 36 are 11, 12, and 13. 11 + 12 + 13 = 36
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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: 
it would be 5.67 rounded because 2/3 as a decimal is 0.666666666667 and so rounded is .67 so 5.67 is your answer
Answer:
64 hope it helps
Step-by-step explanation: