The equation x2 y2 +. a2 62 describes an ellipse (a and b are numbers). (a)...

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The equation x2 y2 +. a2 62 describes an ellipse (a and b are numbers). (a) Sketch the ellipse indicating the intersection points with the axes in terms of a and b. Express y as y = ellipse. From your sketch predict the coefficient of r in the Taylor series for the function y(x) about 0 (Maclaren series) and give reason. y(x) for the upper half of the (b) Write down the leading terms of the Taylor series up to and including quadratic term (~2²). (dignol bungng vas lo) ooey a bai The equation x2 y2 +. a2 62 describes an ellipse (a and b are numbers). (a) Sketch the ellipse indicating the intersection points with the axes in terms of a and b. Express y as y = ellipse. From your sketch predict the coefficient of r in the Taylor series for the function y(x) about 0 (Maclaren series) and give reason. y(x) for the upper half of the (b) Write down the leading terms of the Taylor series up to and including quadratic term (~2²). (dignol bungng vas lo) ooey a bai