a. Use Corollary 2 of the Mean Value Theorem for scalar functions to show that if two

Question:

a. Use Corollary 2 of the Mean Value Theorem for scalar functions to show that if two vector functions R1(t) and R2(t) have identical derivatives on an interval I, then the functions differ by a constant vector value throughout I.


b. Use the result in part (a) to show that if R(t) is any antiderivative of r(t) on I, then any other antiderivative of r on I equals R(t) + C for some constant vector C.


image

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For  book-img-for-question

Thomas Calculus Early Transcendentals

ISBN: 9780321884077

13th Edition

Authors: Joel R Hass, Christopher E Heil, Maurice D Weir

Question Posted: