Answers: 2
given that 
and that 
.
and the 
in this question is given by parametric equations (with 
as the parameter.)
.
and 
as follows:![\begin{aligned} \frac{dx}{dt} &= \frac{d}{dt} [a\, (\cos(t) + \sin(t))] \\ &= a\, (-\sin(t) + \cos(t)) \\ &= a\, (\cos(t) - \sin(t))\end{aligned}](/tpl/images/1410/0596/a1fb0.png)
.
as long as ![\begin{aligned} \frac{dy}{dt} &= \frac{d}{dt} [a\, (\sin(t) - \cos(t))] \\ &= a\, (\cos(t) - (-\sin(t))) \\ &= a\, (\cos(t) + \sin(t))\end{aligned}](/tpl/images/1410/0596/048ba.png)
.
using the fact that 
. Assume that 
.
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