Answer:
a) "ascend"
Step-by-step explanation:
a)
The equation is
This question is asking for the value of the directional derivative in the direction of -j [since south that's y negative]
So, this is the negative of partial derivative of y. Thus we have:
Now we are at (100,120,1106), we take y value of 120 and put it in the partial:
We take the negative, that is -(-2.4) = 2.4
Since this is positive, we can say the hill is sloping upward at this point, so you will start to ascend.
Answer:
4y = x - 17
Step-by-step explanation:
First off, in the equation given : 2x + 5y = 6 , make y the subject of the formula which will give y = +
which make the gradient, m, the coefficient of x =
. Since the line we're looking for is parallel to the one we were given, their respective gradients would be the same. (If they were perpendicular, the gradient of the new line would be a negative inverse of the given line)
Then you proceed to use the one-point formula : y - y₀ = m(x - x₀), where y₀ = 3 and x₀ = 5 from the point it goes through (5, 3)
y - 3 = (x - 5); y - 3 =
-
; y =
-
+3
y = -
; y =
; 4y = x - 17