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Q8. Suppose that T(x, y, z) = x2 + y? + z2. Consider a moving point c(t) = (cos(t), sin(t), (). Let f (t) =

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Q8. Suppose that T(x, y, z) = x2 + y? + z2. Consider a moving point c(t) = (cos(t), sin(t), (). Let f (t) = T(c(t)). (a) Calculate f' (#) by writing out the composition T(c(t)). (b) Calculate f' (4) by using the multivariable chain rule. (c) Explain the geometric significance of f(t)

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