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Unformatted text preview: x = 8t2 - 5, y = t3 , t = 1 1 2) Find the value of d2 y/dx2 at the point defined by the given value of t.
3) x = t + 3, y = - t, t = 22 3) Assuming that the equations define x and y implicitly as differentiable functions x = f(t), y = g(t), find the slope of the curve x = f(t),
y = g(t) at the given value of t.
4) 2x + 4x3/2 = t3 + t, y(t + 1) - 4t y = 9, t = 0 Find the length of the curve.
5) x = t3 , y = 2t2 , 0 ≤ t ≤ 1 5) Find the area of the surface generated by revolving the curves abou...
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