Exploring Scholarship Calculus 2015 Q3

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  • (a) A cubic polynomial with complex coefficients and one real solution (b)(i) A geometric proof involving a focal chord and a circle ...
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  • Differential equation - brine in a tank.
  • (a) Finding the equation of a general normal (b) Finding the equation of the normal that leads to the lowest point of intersection (c) ...

In-Depth Information on Scholarship Calculus 2015 Q3

(a) Proving a trig identity by using De Moivre's Theorem (b) An arithmetic sequence involving logs and trig (c) A gargantuan trig ... Complex numbers. De Moivre's Theorem. Binomial expansion. Even and odd functions. Looks like trig, but very little of it if you do ... (a) Finding the centre of gravity a road with varying density (b)(1) Finding the maximum value of a function formed by a family of ... (a) A sneaky integration by parts problem (b) Solving a non-separable differential equation with the use a few hints.

(a) A system of equations involving logs and exponents (b) The car and statue problem (a tangent question) (c) The spread of a ...

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