Transcribed Text
1. Graph the curve C defined by the parametric equations:
X x=t-1 t
y = t+ 1
2. Determine if C has any horizontal or vertical tangent lines.
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3. Find the area bounded by C and the
4. Does the curve C intersect or collide with any points on the curve
S = { (t² - 1, t+ 1)|t e R}.
5.
Find all points where the curve defined by r = 1 + 2cos0 has horizontal &
vertical tangent lines. Graph this curve.
6. Find the area enclosed by the inner loop of the curve defined by
r = 1 + 2cos0.
7. Determine the equation of the tangent line(s) to the curve defined by
r = 1 + 2cos0 where the curve intersects the curve defined by
r = 1 + cose Write these lines in rectangular form.
8. Find the length of the curve r =1 + cosê. (Yes, I do mean the length).
9. Find the surface area of the curve r = 1 + coso rotated around x-axis.
10. Find the surface area of the curve r = 1 + cose rotated around y-axis.
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