4. Let the parametric equations of the plane curve C be x = 2 cos t, y = 4 sin t, 0 64 t 64 2c0 a). Find the equivalent Cartesian equation and then sketch the graph of C. You must label the graph appropriately. b). Find the equation of the line tangent to C at the point defined by t = c0/4.
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We have x = 2cos(t) and y = 4sin(t). We can solve for cos(t) and sin(t) in terms of x and y: cos(t) = x/2 sin(t) = y/4 Show more…
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