Consider the parametric curve defined by x = et + t and y = −et + 1 Find an equation for the tangent line to the curve at the point where t = 0 Refer: Parametric equation and Calculus of Parametric curves Ⓒy=²x- y=1/√x + O O y y = − ½ x+ || T 1|1 3 Xx 23 T 1 2 3

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A: NOTE: Refresh your page if you can't see any equations. . here we have t=0 the point on the…

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A: Slope of a curve at some point is the value of the derivative at that point.

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Q: Find parametric equations for the line tangent to the curve of intersection of the surfaces at the…

A: Given, the surfaces:               x+y2+2z=4,   x=1  Point: (1, 1, 1) Let         z = 1-2t

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Q: Find parametric equations for the line that is tangent to the given curve at the given parameter…

A: The given curve is -rt=lnt4i∧+t-4t+θj∧+t Ln t4k∧ - 1     t=to=4differentiating 1wrt t , we get…