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    Parametric & Rectangular Equations, Slope & Concavity

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    I am in a fast-paced Calculus course where I must learn new concepts each week; I find it challenging to grasp the concepts while remaining on-pace and I am experiencing great difficulty. I am really finding it difficult to grasp the concept of Parametric & Rectangular Equations, Slope & Concavity, and Tangent Lines.

    Specifically, I need your help in understanding:
    1. Finding the slope and concavity of given parameters.
    2. Finding the equations of tangent lines.
    3. Creating curves for parametric equations.

    My school has been unable to provide me with a suitable tutor; I've also attempted to obtain my own outside of the school.

    I would appreciate your assistance on the attachment; I would also appreciate any points you can provide to help me understand the concepts more clearly. I really want to understand the material, so your explanations are vital; please.

    Thank you.

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    Solution Preview

    See attached. I tried to show most of my work but it was many problems so it took ...

    Solution Summary

    The expert examines parametric and rectangular equations and slope and concavity. Curves of parametric equations are analyzed.