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evaluation by nesting
coefficients and roots
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complete cos2y cosh cubic equation curl F curl F.dS curve curvilinear coordinates denoted differential equations dv dv dv dx dv dy dx dx dx dy dz dx dz dy dxdy dy dv dy dx dy dy dy equation x3 Euler's method evaluate exact differential Example expression F.dr F.ndS factor frame function values Further Engineering Mathematics gamma functions given gives graph Green's theorem initial conditions inverse transforms Laplace transform line integral matrix method Note obtain parametric equations partial fractions path of integration Pdx Qdy plane polar coordinates programme quadratic quartic equation rank real root reduced form region repeated root result Revision Summary saddle point scalar field significant figures sin2 sinh solution Solve the equation stationary points stationary values Stokes theorem straight line substitute surface Test Exercise unit vector vector field w-plane x0 h xy-plane zero