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- Verify that the function u(x,y) = x'- 3xy - 5y is harmonic in the entire complex plane ,And find the harmonic conjugate function of u.You're hiking a mountain described by the equation M(x, y) = –x4 – x³ + x² + xy – y² + 4. You are at the highest peak and want to hike to the second highest peak. Find a parametric function that describes the path you take. -Draw a diagram to show that there are two tangent lines to the parabola of y = x2 that pass through the point (0, −9). Find the coordinates of the points where these tangent lines intersect the parabola.