Suppose that the scalar function u(t) and the vector function r(t) are both defined for a
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Suppose that the scalar function u(t) and the vector function r(t) are both defined for a ≤ t ≤ b.
a. Show that ur is continuous on [a, b] if u and r are continuous on [a, b].
b. If u and r are both differentiable on [a, b], show that ur is differentiable on [a, b] and that
Transcribed Image Text:
d dt (ur) = dr dt + r du dt
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a To show that ur is continuous on a b we need to show that the limit of ur ...View the full answer
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Related Book For
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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