function becomes constant

[teepeemm]

APEXCalculusV5/text/11_Vector_Functions_Intro.tex

Line 97 in 2ec7e64

Multiplying $\vec r(t)$ by 5 scales the function by 5, producing $5\vec r(t) = \langle 5\cos t+1,5\sin t+1.5\rangle$, which is graphed in Figure \ref{fig:vvf3}(c) along with $\vec r(t)$. The new function is ``5 times bigger'' than $\vec r(t)$. Note how the graph of $5\vec r(t)$ in (c) looks identical to the graph of $\vec r(t)$ in $(b)$. This is due to the fact that the $x$ and $y$ bounds of the plot in $(c)$ are exactly 5 times larger than the bounds in (b).

$5\vec r(t) = \langle 5\cos t+1,5\sin t+1.5\rangle$
should be
$5\vec r(t) = \langle 5\cos t+t,5\sin t+\frac32 t\rangle$

[APEXCalculus]

Thanks for pointing this out. This is a mistake I'm surprised survived into the 4th version. Greg apex calculus error errata

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On Fri, Jan 27, 2023 at 9:05 PM Tim Prescott ***@***.***> wrote: https://github.com/APEXCalculus/APEXCalculusV5/blob/2ec7e64191dfabbf1497bc7a00d3e2989614303b/text/11_Vector_Functions_Intro.tex#L97 $5\vec r(t) = \langle 5\cos t+1,5\sin t+1.5\rangle$ should be $5\vec r(t) = \langle 5\cos t+t,5\sin t+\frac32 t\rangle$ — Reply to this email directly, view it on GitHub <#8>, or unsubscribe <https://github.com/notifications/unsubscribe-auth/ABT5OF3QOFW4CRTYOBLHH3TWUR5GFANCNFSM6AAAAAAUJLVEME> . You are receiving this because you are subscribed to this thread.Message ID: ***@***.***>