Answer:
The answer is "
"
Step-by-step explanation:
The whole question can be found in the file attached.
Subtracting the 
from both sides of the equations:
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:
<em><u>$432</u></em>
Step-by-step explanation:
Students:24
Ticket:$9
Lunchbox:$9
9+9=18
24x18=$432
Answer:
9. 70° 10. 90° 11. 110°
Step-by-step explanation:
12. 25°
13. 95°
14. 20°
