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Mathematics 17 Online
OpenStudy (ksaimouli):

smallest value of speed

OpenStudy (ksaimouli):

v(t)= <3cos3t, -3sin3t, 4cos4t>

OpenStudy (ksaimouli):

so |v(t)|= \[\sqrt{9\cos^2(3t)+9\sin^2(3t)+4\cos^2(4t)}\]

OpenStudy (anonymous):

simplifing 9cos^2(3t) + 9sin^2(3t), what do you get?

OpenStudy (anonymous):

uh.. nope

OpenStudy (anonymous):

i am not sure

OpenStudy (ksaimouli):

lol i mean 9

OpenStudy (anonymous):

good, so |v'(t)| = sqrt(9 + 16cos^2(3t)) yes? You forgot to square the 4

OpenStudy (anonymous):

well, cos(0) = 1

OpenStudy (anonymous):

Actually 5 is the maximum -.-

OpenStudy (anonymous):

3 is indeed the minimum, but it's not at t = 0

OpenStudy (ksaimouli):

hmm but ans=3

OpenStudy (anonymous):

yup

OpenStudy (ksaimouli):

so t=pi/2

OpenStudy (anonymous):

yes, i corrected my mistake. 3 is the minimum but not at t = 0

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