Question

11-18 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. 11. $x = sin frac{1}{2} heta$, $y = cos frac{1}{2} heta$, $-pi le heta le pi$ 12. $x = frac{1}{2}cos heta$, $y = 2sin heta$, $0 le heta le pi$ 13. $x = sin t$, $y = csc t$, $0 < t < pi/2$ 14. $x = e^t$, $y = e^{-2t}$ 15. $x = t^2$, $y = ln t$ 16. $x = sqrt{t + 1}$, $y = sqrt{t - 1}$

          11-18
(a) Eliminate the parameter to find a Cartesian equation of the
curve.
(b) Sketch the curve and indicate with an arrow the direction in
which the curve is traced as the parameter increases.
11. $x = sin frac{1}{2}	heta$, $y = cos frac{1}{2}	heta$, $-pi le 	heta le pi$
12. $x = frac{1}{2}cos 	heta$, $y = 2sin 	heta$, $0 le 	heta le pi$
13. $x = sin t$, $y = csc t$, $0 < t < pi/2$
14. $x = e^t$, $y = e^{-2t}$
15. $x = t^2$, $y = ln t$
16. $x = sqrt{t + 1}$, $y = sqrt{t - 1}$

$11-18 (a) Eliminate the parameter to find a Cartesian equation of the curve. (b) Sketch the curve and indicate with an arrow the direction in which the curve is traced as the parameter increases. 11. x = sin frac12 heta, y = cos frac12 heta, -pi le heta le pi 12. x = frac12cos heta, y = 2sin heta, 0 le heta le pi 13. x = sin t, y = csc t, 0 < t < pi/2 14. x = e^t, y = e^-2t 15. x = t^2, y = ln t 16. x = sqrtt + 1, y = sqrtt - 1$

Added by Joseph C.

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