Answer:
Step-by-step explanation:
The directional derivative of a function in a particular direction u is given as the dot product of the unit vector in the direction of u and the gradient of the function
g(x,y) = sin(π(x−5y)
∇g = [(∂/∂x)î + (∂/∂y)j + (∂/∂z)ķ] [sin(π(x−5y))
(∂/∂x) g = (∂/∂x) sin (πx−5πy) = π [cos(π(x−5y))]
(∂/∂y) g = (∂/∂y) sin (πx−5πy) = - 5π [cos (π(x−5y))]
∇g = π [cos(π(x−5y))] î - 5π [cos (π(x−5y))] j
∇g = π [cos (π(x−5y))] [î - 5j]
So, the question requires a direction vector and a point to fully evaluate this directional derivative now.
You would subtract how many times Dion tagged bill with how many times bill tagged Dion, so 12 - 7 = 5
Answer:
130
Step-by-step explanation:
Divide 1,040 by 8 which equals 130
2a−3=7
Add 3 to both sides.
2a−3+3=7+3
2a=10
Divide both sides by 2.
2a / 2 = 10 / 2
a=5
