Step-by-step explanation:
what's the question though ?
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:
50j+30 and 5(10j+6)
Step-by-step explanation:
5(7j+6+3j)
First, do the parenthesis
5(10j+6)
Distribute
50j+30
The pricing scheme of the function is (a) The first two hours cost $2, between two hours and six hours cost $2 per hour, and all hours after that cost $1.
<h3>How to determine the pricing scheme?</h3>
The points are given as:
- Constant = (0,2) to (2, 2)
- Another = (2,2) to (6,10)
- Another = (6,10) to (7,11)
The constant interval implies that the first two hours cost $2
Next, we calculate the slope/rate of the other points.
This is done using
m = (y2 - y1)/(x2 - x1)
So, we have:
m1 = (10 - 2)/(6 - 2) = 2
m2 = (11 - 10)/(7 - 6) = 1
This means that:
- The next 4 hours are charged for $2 per hour
- All hours after that cost $1
Hence, the pricing scheme of the function is (a)
Read more about piecewise function at:
brainly.com/question/12561612
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Answer:
The temperature will be at 40 degrees by 7:00
