The given analytic function f(z) = u + iv defines two families of level curves u(x, y) = c₁ and v(x, y) = C₂. First use implicit differentiation to computed for each family and then verify that the families are orthogonal. f(z) = x³ 3xy² + (3x²y - y³) dy = =

Find the equation of the tangent line to the curve at the given point using implicit differentiation. Cardioid: (x2 + y2+ y)² = x² + y² at (1, 0) y The xy-coordinate plane is given. The curve starts at the point (1, 0), goes up and left becoming less steep, changes direction at the approximate point (0.4, 0.2), goes down and left becoming more steep, passes through the origin, sharply changes direction at the origin, goes up and left becoming less, steep, changes direction at the goes down and left becoming more steep, crosses the x-axis at the point (-1, 0), changes direction at the approximate point (-1.3, -0.7), goes down and right becoming less steep, changes direction at the approximate point (0, -2), goes up and right becoming more steep, changes direction at the approximate point (1.3, -0.7), goes up and left becoming less steep, and stops at the point (1, 0). oproximate point (-0.4, 0.2),

I'm stuck on this one. I need help please & thank you!!

Use the Gauss seidel method to solve the linear system. Use the initial approximation x° [00 0]* , to compute an approximate solution accurate to within 10-3. Also, compute error using the l, Norm ( ||xk+1 – x*|l.). 4x1 + x2 – X3 = 5 -X1 + 3x2 + x3 = -4 2x1 + 2x2 + 5x3 = 1