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Posted: **Sat Jul 09, 2022 2:15 pm**

: Challenge Let R T Be A Nice Vector Valued Function Of 1 Variable Over The Real Line So That We Can Take The Derivativ 1 (44.11 KiB) Viewed 42 times

Challenge: Let r(t) be a nice vector valued function of 1 variable over the real line (so that we can take the derivative of each com- ponent as many times as we want). Show that if r(t) ●r/(t) = 0 for every t, then |r(t)|=|r(0)|__for every t That is, r(t)| must be a constant function.