Consider The Following. W = Yz/X, X = Θ2, Y = R + 7θ, Z = R − 7θ (A) Find ∂W/∂R And ∂W/∂Θ By Using The Appropriate Chain
1) Consider the following.
w = yz/x, x = θ2, y = r + 7θ, z = r − 7θ
(a) Find ∂w/∂r and ∂w/∂θ by using the appropriate Chain Rule.
|
= |
|
= |
(b) Find ∂w/∂r and ∂w/∂θ by converting w to a function of r and θ before differentiating.
|
= |
|
= |
2) Evaluate fx, fy and fz at the given point.
f(x, y, z) = x2y3 + 7xyz − 5yz, (−1, 2, 1)
fx(−1, 2, 1) | = |
fy(−1, 2, 1) | = |
3) For f(x, y), find all values of x and y such that fx(x, y) = 0 and fy(x, y) = 0 simultaneously.
f(x, y) = x2 + 4xy + y2 − 18x − 12y + 14
(x, y) =
Click here to view the answer.