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:
12 3/8
Step-by-step explanation:
A = 2 3/4 x 4 1/2
best way is to change mixed numbers to fractions and multiply and then go back to a mixed number.
11/4 x 9/2 = 99/8 = 12 3/8
7/8 / 11/12. First get the reciprocal of 11/12 (which is 12/11). Then multiply by the reciprocal. 7/8 * 12/11 = 84/88
don't forget to simplify
21/22
Answer:
6
Step-by-step explanation:
3 ⋅ 2^t
Let t=1
3 ⋅ 2^1
Exponents first
3 * 2
6
