5. For the parametric curve z = 1- tť, y =t – ť°,t € R find: (a) the points where the tangent line is horizontal or vertical. (b) the intervals where it raises or falls, and the intervals where it is concave up or down (c) the self intersection point and the area enclosed by the loop of the curve. Sketch the curve.

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A: topic -  differential equation

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A: The given question can be solved as shown in step2.

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A: topic- exponential function

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A:

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A: We have to find implicot differentiation

Q: Evaluate

A: We will evaluate the integral. 

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A: topic -   average

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