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1. Consider the curve defined by the following parametric equations. 4³ X = + cos (πt), y = 4t+ sin(2t + 6) (a) (4 point
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1. Consider the curve defined by the following parametric equations. 4³ X = + cos (πt), y = 4t+ sin(2t + 6) (a) (4 point
1. Consider the curve defined by the following parametric equations. 4³ X = + cos (πt), y = 4t+ sin(2t + 6) (a) (4 points) Find the coordinates of the corresponding point on the curve when t = -3. (b) (12 points) Find in terms of t. dx (c) (4 points) Find the slope of the tangent line to the curve at t = -3. (d) (4 points) Find an equation of the tangent line to the curve at t = −3.