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A worker retires with a lump sum superannuation benefit of $500,000. She immediately invests this money in a fund earning 5% pa effective. One year after retirement she begins maki
how to count by 45s
Given that f(x,y) = 3xy - x 2 y - xy 2 . Fi nd all the points on the surface z = f(x, y)where local maxima, local minima, or saddles occur
A passenger jet took 3 hours to fly 1800 km in the direction of the jetstream. The return trip against the jetstream took four hours. What was the jet's speed in still air and the
give the solution
Curvature - Three Dimensional Space In this part we want to briefly discuss the curvature of a smooth curve (remind that for a smooth curve we require → r′ (t) is continuou
Draw the direction field for the subsequent differential equation. Draw the set of integral curves for this differential equation. Solution: y′ = y - x To draw direct
How do you find the area of a circle given the diameter?
Consider the Solow growth model as given in the lecture notes using the Cobb-Douglas production function Y t = AK 1-α t L α t a) Set up the underlying nonlinear differen
2/5x + x+1/3x
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