For #1-3, (a) draw the graph [mark the point where t=0 and the direction on the graph in which t

increases] (b) write one equation using only x & y

1. x=3-4t, y=2-3t

2. x=3+cos(t), y=-2+sin(t)

3. x=t0.5, y=t1.5

For #4-5, find dy/dx at the given t-value, then find the equation of the tangent line at that point

4. x= t sin t, y=t cos t, t= ?

5. x=t2

-3t+1, y=t3

-2t, t=2 ...also find the second derivative d

2

y

dx2

6. find the area enclosed by {x=t3+3t+1, y=4t - t2

} and the x-axis (y=0)

7. find the length of the curve {x=t+cos t, y=t-sin t} for 0

8. find the surface area {x=3t+sin(2t), y=4cos(t)} for 0

not solve]

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