Consider the vector function

MATHEMATICS · Single correct · AP · AP Precalculus · Functions with Parameters, Vectors, and Matrices · Functions with Parameters, Vectors, and Matrices

Problem

Consider the vector function r(t)=⟨aeat, sin⁡t, cos⁡t⟩r(t)=\langle a e^{a t},\,\sin t,\,\cos t\rangle, where aa is a real constant. For which value of aa does the particle move at constant speed for all tt? (a) a=−1a=-1 (b) a=0a=0 (c) All real values of aa (d) a=1a=1

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