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:
1.-113
2.62
Step-by-step explanation:
1.-9^2+3(-9)-5
-81+-27-5
-113
2.5(7-(-9))+2(-9)
5*16-18
80-18
62
Construct the perpendicular to <span><span>QR</span><span>¯¯¯¯¯</span></span><span> that passes through point </span>X<span>.</span>
12345678910111213
12 and 13 are consecutive numbers
12+13=25
hence, 12 and 13 are your answers
