2007Tut3 - MATH2007 Tutorial 3 1 The parametric curve is...

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MATH2007 Tutorial 31. The parametric curve is given byx=t3-t2, y=t2.a) Finddydxand the tangent line at (0,1).b) Findd2ydx2and study the concavity.Solution:
2. Find the length of the curve given by the parametric equation:x=14t4,y=15t5,0t1.
3. Converting the Cartesian point (1,-3) to polar point (r, θ).
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4. Letr= 2 + sinθ. (a) Findθwhere we have horizontal tangent line. (b) Find thetangent line atθ=π/6.

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