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.
The answer is A because slope is equal to the<span> change in </span>y<span> over the change in </span>x. Substitute in the values of x and y into the equation to find the slope.<span>m=<span><span><span>3.1−<span>(6.1)/</span></span><span>−2.5−<span>(−5.5)</span></span></span></span></span>
Check the picture below.
keeping in mind that a cube is just a rectangular prism with all equal sides.
Answer:
1 is 2x45
2 is x348
3 is x78
4 is x89
Step-by-step explanation:
