Let a, b be nonzero numbers. Prove that 2πT dt a² cos² (1) + b² sin² (1) by integrating on two homotopic (in C\{0}) curves: [0, 27], and 72 the unit circle. 2π ab' 71 (t) = a cos(t) + i b sin(t), tɛ

Help find dy/dx in two ways.. a) by differentiating implicitly & b) by explicitly saying solving for y and then differentiating

Cos vt dt 3. Evaluate

dz Find when u = 0, v = 3, if z = sin (xy) + x sin (y), x = 3u² + v², and ди y = 2uv.