Find an equation of the tangent to the curve x = e^t sin(πt), y = e^2t at the point corresponding to t = 0.

Answer 1

Differentiate the expressions for y and x with respect to t.

Divide dy/dt by dx/dt to get dy/dx. Evaluate dy/dx at t=0 (I think the answer is 2/pi)

Then set up the tangent line through the point (0,1).