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

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 f_x, f_y and f_z at the given point.

f(x, y, z) = x²y³ + 7xyz − 5yz, (−1, 2, 1)

3) For f(x, y), find all values of x and y such that f_x(x, y) = 0 and f_y(x, y) = 0 simultaneously.

f(x, y) = x² + 4xy + y² − 18x − 12y + 14

(x, y) =

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