Answer: x = -1, -13
Step-by-step explanation:
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.
Area of the square = (9 m)^2 = 81 m^2
The four circular sectors combine to form a circle with diameter 9 m, hence radius 4.5 m.
Area of the circle = π (4.5 m)^2 = 20.25π m^2
Then the area of the shaded region is
81 m^2 - 20.25π m^2 ≈ 17.4 m^2
Answer:
With j = number of jars: 2,578 / 6 = j
Step-by-step explanation:
For this one, instead of breaking it down into 3 shapes we can simply subtract the missing square area from the total enclosing area...
15*8-4*4
120-16
104 cm^2
