Question 1
Determine the coordinates of the points where the curve x = t
2 + 2t, y = 2t
3 + 7 has (a) a horizontal tangent and (b) a vertical tangent.
◦ (a) (2, 9) (b) (2, 6)
◦ (a) (0, -9) (b) (2, 6)
◦ (a) (2, -9) (b) (2, -6)
◦ (a) (0, -9) (b) (±2, -6)
◦ (a) (-2, -9) (b) (-2, -6)
Question 2
Find the arc length of x = u, y = u
3/2, 0 ≤ u ≤

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units
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units
◦ 2 units
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units
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units