Show that g(x) = 2x² + 3 − 3ª has a real zero using the Intermediate Value Theorem. -

Using the Second Order Runge-Kutta method (modified Euler's version) to solve the ODE dy/dx = 3x + 4y with the initial condition y = 2 and x = 0 using a stepsize of h = 0.2 solve y' (0.6)? Kindly answer it fast. Thank you

4. If z=x+2xy + y³ and x =r cos 0 and y = r sin 0, find in their simplest forms. Əz and ar BIS де

Apply de'Moivre's theorem or otherwise to solve for Zo and C from these expressions given below: ZO-Z/Y and C=Z*Y Where: .Z is a complex number. • Y is also a complex number. • Re (Z0) >0 and Re (C) >0 Find Z0 and C when: Z=1+5j,Y=1-3j