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a₁ absolutely convergent algebraic approximation Ax² b₁ calculate chain rule circle closed interval coefficients complex numbers Consider continuous function coordinate system cos² curve defined definition derivative differentiable disk domain E₁ E₂ equation example f(xo figure finite following theorem formula function f ƒ and g ƒ is continuous Given gives graph of ƒ hyperbola ILMax inequality inner product inner-product space integral l'Hôpital's rule Let ƒ lim f(x limit linear linearly independent loga M₁ matrix maximum method notation P₁ P₂ parabola path plane polynomial positive number PROBLEM SET proof proved radius real numbers rectangle region rotated sec² Section sequence Show Similarly Simpson's rule sin² slope solution Suppose tangent trigonometric polynomial V₁ V₂ vector space write x-axis x₁ y-axis y₁