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Consider the parametric curve x = t2, y = t3 + 3t, −∞ < t <...

  1. Consider the parametric curve

    x = t2, y = t3 + 3t, −∞ < t < ∞.

    1. (a) Find all of the points where the tangent line is vertical.

    2. (b) Find d2y/dx2 at the point (1, 4).

    3. (c) Set up an integral for the area under the curve from t = −2 to t = −1.

    4. (d) Set up an integral for the length of the curve from t=−1 to t=1.

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