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:
2.58, 2.6, 2 5/8, 2 2/3
Step-by-step explanation:
2.58, 2.6, 2 5/8 can be converted into 2.625, and 2 2/3 can be converted into 2.66 with 6 being repeated over & over.
Answer:
x = 2
Step-by-step explanation:
Answer(s):
Exact Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3 2 3
Mixed Number Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3 2 3
Improper Fraction Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 11 3
Decimal Form: x + 2 y − 3 z = 15 , 2 x − 2 z = 6 , 3. ¯ 6
Hope this helps, have a nice day/night! :D
Answer: igewuuuuuuuuuuuuuuuuuuuuuuuuudh.j
Step-by-step explanation:
