Rapid Recall
- Which problems are you ready to present?
- Which problems did you sincerely attempt
- Draw $\ds \frac{x^2}{16}+\frac{y^2}{9}=1$ and $\ds \frac{x^2}{16}-\frac{y^2}{9}=1$.
- Draw the parametric curve $x=3\cos t$, $y=2\sin t$. If needed, make a $t,x,y$ table of points.
- Draw the parametric curve $x=2+3\cos t$, $y=5+2\sin t$.
Group problems
- Draw $\ds \frac{(x+2)^2}{9}+\frac{(y-4)^2}{25}=1$ and then draw $\ds -\frac{(x+2)^2}{9}+\frac{(y-4)^2}{25}=1$.
- Draw $\vec r(t) = (3 \cos t, 3 \sin t)$.
- Find the velocity of an object parametrized by the curve above. Then state the speed. [Hint: derivatives will help.]
- Draw $\vec r(t) = (3 \cos 2t, 3 \sin 2t)$. What is the speed of this curve?
- Draw $\vec r(t) = (3 \cos 2t, 3 \sin 2t)$. What is the speed of this curve?
- Hurricane Matthew has a diameter of 28 miles. Assuming the eye is at the origin $(0,0)$, give a parametrization of the exterior edge of the hurricane.
- Sustained winds are 128 mi/hr. Modify your parametrization above so that the speed is 128 mi/hr.
- The eye of the hurricane is moving north west at a speed of 12 mi/hr. Modify your parametrization so that the center moves north west at 12 mi/hr.
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