Consider the curve for

MATHEMATICS · Subjective · AP · Calculus BC · Parametric, Polar, and Vector-Valued Functions · Parametric, Polar, and Vector-Valued Functions

Problem

Consider the curve

x=e^{t}\cos t,\;y=e^{t}\sin t

for

t\ge 0

. Re-parameterize the curve by arc length

s

measured from the point

(1,0)

t=0

. Provide explicit formulas for

x(s)

and

y(s)