Find the directional derivative of f at the given point in the direction indicated by the angle θ. f(x, y) = y cos(xy), (0, 1), θ = π/6

Step-by-step explanation:

The directional derivative of f at the given point in the direction indicated by the angle θ is expressed as where u is the unit vector in the direction θ.

Lets first calculate

The unit vector u in the direction of θ  is expressed as

unit vector u  at θ = π/6 is cos π/6i + sin π/6 j

u= √3/2 i +1/2 j

Taking the dot product i.e

= (0i+j)*(√3/2 i +1/2 j)

= 1/2

The directional derivative of f is 1/2

answer: 42

use a calculator to find that 845/73 = 11.575

the whole part of the answer is 11. multiply this by 73 to get 11*73 = 803.

subtract that result from 845 to get 845 - 803 = 42

yes

step-by-step explanation:

so of course you want to start by plugging the 5 in which goes to 7(5)+3(5)=50 because 7*5=35 and 3*5=15 and then add them together, then plug in the 5 to the other equation as well 9(5)+5=50 because 9*5= 45 and then add 5 and so yes they are equivalent.