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:
The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.
<h3>What is a system of equations?</h3>
A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Carson is going on a work trip. He will get reimbursed for his expenses for driving his own car.
He will get a flat rate of 30, plus $1.25 per mile (m) he drives.
The equation formed;
R = 30 + 1.25m
The equation represents the total reimbursement (R) he should expect to see in his bank account when he comes back is R = 30 + 1.25m.
Learn more about equations here;
brainly.com/question/10413253
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Answer:
x=-1/3
Step-by-step explanation:
Distribute:
-9x+24=27
Isolate the Variable:
-9x=3
x=-1/3
Answer:
The correct answer is option A.
Step-by-step explanation:
Hi! Nice to meet you and have a great day.
720 because 60 multiplied by 12 = 720 hope i helped
