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.
Answer:
11
Step-by-step explanation:
11,16,12,7,23,9,5,5
arrange to least to greatest
5,5,7,9,11 ,12,16,23
2 middle numbers
11+12= 23
23÷2= 11.5
Median is 11
Answer:
i told you in the comment it equals 7
Step-by-step explanation:
Answer:
60
Step-by-step explanation:
9 ÷ 15 = 0.6
Move decimal 2 places 0.6 -> 60