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Consider the function w = x^(2) + y^(2) + z^(2) with x = tsin(s), y =...

Consider the function w = x^(2) + y^(2) + z^(2) with x = tsin(s), y = tcos(s), and z = st^(2)

(a) Find ∂w/∂s and ∂w/∂t by using the appropriate Chain Rule.

(b) Find ∂w/∂s and ∂w/∂t by first substituting and writing w as a function of s and t

before differentiating.

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